1.
|
S. L. Wang, X. L. Jin, Z. L. Huang, G. Q. Cai,
Break-out of dynamic balance of nonlinear ecosystems using first passage failure theory,
2015,
80,
0924-090X,
1403,
10.1007/s11071-015-1951-2
|
|
2.
|
Partha Sarathi Mandal, Malay Banerjee,
Stochastic persistence and stationary distribution in a Holling–Tanner type prey–predator model,
2012,
391,
03784371,
1216,
10.1016/j.physa.2011.10.019
|
|
3.
|
Yongfeng Guo, Yajun Shen, Jianguo Tan,
Stochastic resonance in a piecewise nonlinear model driven by multiplicative non-Gaussian noise and additive white noise,
2016,
38,
10075704,
257,
10.1016/j.cnsns.2016.02.032
|
|
4.
|
Canrong Tian, Ling Lin, Lai Zhang,
Additive noise driven phase transitions in a predator-prey system,
2017,
46,
0307904X,
423,
10.1016/j.apm.2017.01.087
|
|
5.
|
R.V. Bobryk,
Stability analysis of a SIR epidemic model with random parametric perturbations,
2021,
143,
09600779,
110552,
10.1016/j.chaos.2020.110552
|
|
6.
|
N. Lumi, R. Mankin,
2015,
1685,
0094-243X,
050003,
10.1063/1.4934299
|
|
7.
|
Yu Zhao, Sanling Yuan, Tonghua Zhang,
Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation,
2017,
44,
10075704,
266,
10.1016/j.cnsns.2016.08.013
|
|
8.
|
Changyou Wang, Linrui Li, Yuqian Zhou, Rui Li,
On a delay ratio-dependent predator–prey system with feedback controls and shelter for the prey,
2018,
11,
1793-5245,
1850095,
10.1142/S179352451850095X
|
|
9.
|
Huiyan Zhao, Chongqi Zhang, Limin Wen,
Maximum likelihood estimation for stochastic Lotka–Volterra model with jumps,
2018,
2018,
1687-1847,
10.1186/s13662-018-1605-z
|
|
10.
|
Hiroshi Serizawa, Takashi Amemiya, Kiminori Itoh,
Sufficient noise and turbulence can induce phytoplankton patchiness,
2010,
02,
2150-4091,
320,
10.4236/ns.2010.24040
|
|
11.
|
D Valenti, G Denaro, F Conversano, C Brunet, A Bonanno, G Basilone, S Mazzola, B Spagnolo,
The role of noise on the steady state distributions of phytoplankton populations,
2016,
2016,
1742-5468,
054044,
10.1088/1742-5468/2016/05/054044
|
|
12.
|
S. Spezia, L. Curcio, A. Fiasconaro, N. Pizzolato, D. Valenti, B. Spagnolo, P. Lo Bue, E. Peri, S. Colazza,
Evidence of stochastic resonance in the mating behavior of Nezara viridula (L.),
2008,
65,
1434-6028,
453,
10.1140/epjb/e2008-00333-4
|
|
13.
|
Zheng-Lin Jia, Dong-Cheng Mei,
Noise-induced phenomena in the dynamics of groundwater-dependent plant ecosystems with time delay,
2015,
2015,
1742-5468,
P05034,
10.1088/1742-5468/2015/05/P05034
|
|
14.
|
D. Valenti, L. Schimansky-Geier, X. Sailer, B. Spagnolo,
Moment equations for a spatially extended system of two competing species,
2006,
50,
1434-6028,
199,
10.1140/epjb/e2006-00102-5
|
|
15.
|
L. Ryashko, I. Bashkirtseva, A. Morozov,
Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect,
2015,
10,
0973-5348,
130,
10.1051/mmnp/201510209
|
|
16.
|
Astero Provata, Igor M. Sokolov, Bernardo Spagnolo,
Editorial: Ecological complex systems,
2008,
65,
1434-6028,
307,
10.1140/epjb/e2008-00380-9
|
|
17.
|
Chunhua Zeng, Qingshuang Xie, Tonghuan Wang, Chun Zhang, Xiaohui Dong, Lin Guan, Kongzhai Li, Weilong Duan,
Stochastic ecological kinetics of regime shifts in a time‐delayed lake eutrophication ecosystem,
2017,
8,
2150-8925,
10.1002/ecs2.1805
|
|
18.
|
Kang-Kang Wang, Hui Ye, Ya-Jun Wang, Sheng-Hong Li,
Time-delay-induced dynamical behaviors for an ecological vegetation growth system driven by cross-correlated multiplicative and additive noises,
2018,
41,
1292-8941,
10.1140/epje/i2018-11668-9
|
|
19.
|
Canrong Tian, Lai Zhang,
Delay-driven irregular spatiotemporal patterns in a plankton system,
2013,
88,
1539-3755,
10.1103/PhysRevE.88.012713
|
|
20.
|
A. Fiasconaro, D. Valenti, B. Spagnolo,
Asymptotic regime in N random interacting species,
2006,
50,
1434-6028,
189,
10.1140/epjb/e2006-00058-4
|
|
21.
|
D. Valenti, L. Tranchina, M. Brai, A. Caruso, C. Cosentino, B. Spagnolo,
Environmental metal pollution considered as noise: Effects on the spatial distribution of benthic foraminifera in two coastal marine areas of Sicily (Southern Italy),
2008,
213,
03043800,
449,
10.1016/j.ecolmodel.2008.01.023
|
|
22.
|
2009,
20095783,
978-1-4200-5214-5,
97,
10.1201/9781420052152.sec3
|
|
23.
|
Lutz Schimansky-Geier, Benjamin Lindner, Sebastian Milster, Alexander B. Neiman,
Demixing of two species via reciprocally concentration-dependent diffusivity,
2021,
103,
2470-0045,
10.1103/PhysRevE.103.022113
|
|
24.
|
Dong-Wei Huang, Hong-Li Wang, Jian-Feng Feng, Zhi-Wen Zhu,
Modelling algal densities in harmful algal blooms (HAB) with stochastic dynamics,
2008,
32,
0307904X,
1318,
10.1016/j.apm.2007.04.006
|
|
25.
|
Michael Assaf, Baruch Meerson,
WKB theory of large deviations in stochastic populations,
2017,
50,
1751-8113,
263001,
10.1088/1751-8121/aa669a
|
|
26.
|
Yong-Feng Guo, Bei Xi, Fang Wei, Jian-Guo Tan,
Stochastic resonance in FitzHugh–Nagumo neural system driven by correlated non-Gaussian noise and Gaussian noise,
2017,
31,
0217-9792,
1750264,
10.1142/S0217979217502642
|
|
27.
|
Stefania Scarsoglio, Paolo D’Odorico, Francesco Laio, Luca Ridolfi,
Spatio-temporal stochastic resonance induces patterns in wetland vegetation dynamics,
2012,
10,
1476945X,
93,
10.1016/j.ecocom.2011.11.003
|
|
28.
|
Karen C. Abbott, Ben C. Nolting,
Alternative (un)stable states in a stochastic predator–prey model,
2017,
32,
1476945X,
181,
10.1016/j.ecocom.2016.11.004
|
|
29.
|
Can Chen, Yanmei Kang,
The asymptotic behavior of a stochastic vaccination model with backward bifurcation,
2016,
40,
0307904X,
6051,
10.1016/j.apm.2016.01.045
|
|
30.
|
Wenjie Cao, Tao Pan,
DYNAMICS OF AN IMPULSIVE STOCHASTIC SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE,
2020,
10,
2156-907X,
1396,
10.11948/20190214
|
|
31.
|
An-Wei Li,
Impact of noise on pattern formation in a predator–prey model,
2011,
66,
0924-090X,
689,
10.1007/s11071-010-9941-x
|
|
32.
|
Ranjit Kumar Upadhyay, Malay Banerjee, Rana Parshad, Sharada Nandan Raw,
DETERMINISTIC CHAOS VERSUS STOCHASTIC OSCILLATION IN A PREY-PREDATOR-TOP PREDATOR MODEL,
2011,
16,
1392-6292,
343,
10.3846/13926292.2011.601767
|
|
33.
|
Evelyn Buckwar, Cónall Kelly,
Asymptotic and Transient Mean-Square Properties of Stochastic Systems Arising in Ecology, Fluid Dynamics, and System Control,
2014,
74,
0036-1399,
411,
10.1137/120893859
|
|
34.
|
R. Mankin, T. Laas, E. Soika, A. Ainsaar,
Noise-controlled slow–fast oscillations in predator–prey models with the Beddington functional response,
2007,
59,
1434-6028,
259,
10.1140/epjb/e2007-00285-1
|
|
35.
|
Alessandro Fiasconaro, Bernardo Spagnolo,
Stability measures in metastable states with Gaussian colored noise,
2009,
80,
1539-3755,
10.1103/PhysRevE.80.041110
|
|
36.
|
Meng-Yu Tian, Can-Jun Wang, Ke-Li Yang, Peng Fu, Chun-Yan Xia, Xiao-Jing Zhuo, Lei Wang,
Estimating the nonlinear effects of an ecological system driven by Ornstein-Uhlenbeck noise,
2020,
136,
09600779,
109788,
10.1016/j.chaos.2020.109788
|
|
37.
|
Wantao Jia, Yong Xu, Dongxi Li,
Stochastic Dynamics of a Time-Delayed Ecosystem Driven by Poisson White Noise Excitation,
2018,
20,
1099-4300,
143,
10.3390/e20020143
|
|
38.
|
D. Valenti, G. Denaro, B. Spagnolo, S. Mazzola, G. Basilone, F. Conversano, C. Brunet, A. Bonanno,
Stochastic models for phytoplankton dynamics in Mediterranean Sea,
2016,
27,
1476945X,
84,
10.1016/j.ecocom.2015.06.001
|
|
39.
|
Lev Ryashko,
Stochastic Control in the Problem of Preventing Ecological Catastrophes,
2018,
51,
24058963,
540,
10.1016/j.ifacol.2018.11.478
|
|
40.
|
Irina Bashkirtseva, Lev Ryashko,
Noise-induced shifts in the population model with a weak Allee effect,
2018,
491,
03784371,
28,
10.1016/j.physa.2017.08.157
|
|
41.
|
Irina Bashkirtseva, Lev Ryashko, Tatyana Ryazanova,
Analysis of Noise-Induced Bifurcations in the Stochastic Tritrophic Population System,
2017,
27,
0218-1274,
1750208,
10.1142/S021812741750208X
|
|
42.
|
B. Spagnolo, S. Spezia, L. Curcio, N. Pizzolato, A. Fiasconaro, D. Valenti, P. Lo Bue, E. Peri, S. Colazza,
Noise effects in two different biological systems,
2009,
69,
1434-6028,
133,
10.1140/epjb/e2009-00162-y
|
|
43.
|
Pintu Patra, Stefan Klumpp,
Phenotypically heterogeneous populations in spatially heterogeneous environments,
2014,
89,
1539-3755,
10.1103/PhysRevE.89.030702
|
|
44.
|
Driss Kiouach, Lahcen Boulaasair,
Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine,
2018,
2018,
1110-757X,
1,
10.1155/2018/1291402
|
|
45.
|
Stefano Bonaccorsi, Stefania Ottaviano,
Epidemics on networks with heterogeneous population and stochastic infection rates,
2016,
279,
00255564,
43,
10.1016/j.mbs.2016.07.002
|
|
46.
|
Irina Bashkirtseva, Darja Filippova, Alexander N. Pisarchik,
2016,
1790,
0094-243X,
150010,
10.1063/1.4968749
|
|
47.
|
P.S. Mandal, M. Banerjee,
Multiplicative-noise Can Suppress Chaotic Oscillation in Lotka-Volterra Type Competitive Model,
2012,
7,
0973-5348,
23,
10.1051/mmnp/20127602
|
|
48.
|
Giuseppe Gaeta, Francesco Spadaro,
Symmetry classification of scalar Ito equations with multiplicative noise,
2020,
27,
1776-0852,
679,
10.1080/14029251.2020.1819615
|
|
49.
|
Shengnan Zhao, Sanling Yuan, Hao Wang,
Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation,
2020,
268,
00220396,
5113,
10.1016/j.jde.2019.11.004
|
|
50.
|
Changyou Wang, Yuqian Zhou, Yonghong Li, Rui Li,
Well-posedness of a ratio-dependent Lotka–Volterra system with feedback control,
2018,
2018,
1687-2770,
10.1186/s13661-018-1039-2
|
|
51.
|
Alessandro Giuffrida, Davide Valenti, Graziella Ziino, Bernardo Spagnolo, Antonio Panebianco,
A stochastic interspecific competition model to predict the behaviour of Listeria monocytogenes in the fermentation process of a traditional Sicilian salami,
2009,
228,
1438-2377,
767,
10.1007/s00217-008-0988-6
|
|
52.
|
Vicenç Méndez, S. I. Denisov, Daniel Campos, Werner Horsthemke,
Role of the interpretation of stochastic calculus in systems with cross-correlated Gaussian white noises,
2014,
90,
1539-3755,
10.1103/PhysRevE.90.012116
|
|
53.
|
G. Bonanno, D. Valenti, B. Spagnolo,
Role of noise in a market model with stochastic volatility,
2006,
53,
1434-6028,
405,
10.1140/epjb/e2006-00388-1
|
|
54.
|
V Schwämmle, S M D Queirós, E Brigatti, T Tchumatchenko,
Competition and fragmentation: a simple model generating lognormal-like distributions,
2009,
11,
1367-2630,
093006,
10.1088/1367-2630/11/9/093006
|
|
55.
|
Werner Ebeling, Rainer Feistel, Susanne Feistel,
On bifurcations in complex ecological systems with diffusion and noise,
2013,
14,
1476945X,
2,
10.1016/j.ecocom.2012.09.007
|
|
56.
|
Forest Harvesting Problem in the Light of the Information Measures,
2009,
4,
18193579,
25,
10.3923/tasr.2009.25.35
|
|
57.
|
Horst Malchow, Frank M. Hilker, Ivo Siekmann, Sergei V. Petrovskii, Alexander B. Medvinsky,
2008,
Chapter 1,
978-3-7643-8590-3,
1,
10.1007/978-3-7643-8591-0_1
|
|
58.
|
Giuseppe Gaeta,
Integration of the stochastic logistic equation via symmetry analysis,
2019,
26,
1402-9251,
454,
10.1080/14029251.2019.1613052
|
|
59.
|
Li Li, Zhi-Jun Wang,
Dynamics in a predator–prey model with space and noise,
2013,
219,
00963003,
6542,
10.1016/j.amc.2013.01.002
|
|
60.
|
Irina Bashkirtseva, Lev Ryashko,
Stochastic sensitivity analysis of noise-induced excitement in a prey–predator plankton system,
2011,
5,
2155-3769,
141,
10.1080/21553769.2012.702666
|
|
61.
|
Lei Zhang, Zhibin Li,
Spatial Complexity of a Predator-Prey Model with Holling-Type Response,
2014,
2014,
1085-3375,
1,
10.1155/2014/675378
|
|
62.
|
Zhan-Wu Bai, Ping Wang,
Escape rate of Brownian particles from a metastable potential well under time derivative Ornstein-Uhlenbeck noise,
2016,
89,
1434-6028,
10.1140/epjb/e2016-60940-x
|
|
63.
|
F. Müller, L. Schimansky-Geier, D.E. Postnov,
Interaction of noise supported Ising–Bloch fronts with Dirichlet boundaries,
2013,
14,
1476945X,
21,
10.1016/j.ecocom.2012.11.002
|
|
64.
|
Neeme Lumi, Katrin Laas, Romi Mankin,
Rising relative fluctuation as a warning indicator of discontinuous transitions in symbiotic metapopulations,
2015,
437,
03784371,
109,
10.1016/j.physa.2015.05.107
|
|
65.
|
Irina Bashkirtseva, Lev Ryashko,
Analysis of the Noise-Induced Regimes in Ricker Population Model with Allee Effect via Confidence Domains Technique,
2014,
2014,
2314-6133,
1,
10.1155/2014/346239
|
|
66.
|
D. Valenti, A. Giuffrida, G. Denaro, N. Pizzolato, L. Curcio, S. Mazzola, G. Basilone, A. Bonanno, B. Spagnolo, A. Morozov, M. Ptashnyk, V. Volpert,
Noise Induced Phenomena in the Dynamics of Two Competing Species,
2016,
11,
1760-6101,
158,
10.1051/mmnp/201611510
|
|
67.
|
M. Kodama, G. Hasegawa, M. Murata,
2009,
Bandwidth-Based Congestion Control for TCP: Measurement Noise-Aware Parameter Settings and Self-Induced Oscillation,
978-1-4244-3437-4,
1,
10.1109/ICCW.2009.5207973
|
|
68.
|
R. Mbakob Yonkeu, R. Yamapi, G. Filatrella, C. Tchawoua,
Stochastic bifurcations induced by correlated noise in a birhythmic van der Pol system,
2016,
33,
10075704,
70,
10.1016/j.cnsns.2015.09.005
|
|
69.
|
Anne Kjersti Bakken, Helge Bonesmo, Bård Pedersen,
Spatial and Temporal Abundance of Interacting Populations of White Clover and Grass Species as Assessed by Image Analyses,
2015,
2015,
2314-8497,
1,
10.1155/2015/620164
|
|
70.
|
Dongwei Huang, Hongli Wang, Jianfeng Feng, Zhi-wen Zhu,
Hopf bifurcation of the stochastic model on HAB nonlinear stochastic dynamics,
2006,
27,
09600779,
1072,
10.1016/j.chaos.2005.04.086
|
|
71.
|
Jiang-Cheng Li, Dong-Cheng Mei,
Reverse resonance in stock prices of financial system with periodic information,
2013,
88,
1539-3755,
10.1103/PhysRevE.88.012811
|
|
72.
|
Qiao-Feng Lin, Can-Jun Wang, Ke-Li Yang, Meng-Yu Tian, Ya Wang, Jia-Liang Dai,
Cross-correlated bounded noises induced the population extinction and enhancement of stability in a population growth model,
2019,
525,
03784371,
1046,
10.1016/j.physa.2019.04.020
|
|
73.
|
F. Borgogno, P. D'Odorico, F. Laio, L. Ridolfi,
Mathematical models of vegetation pattern formation in ecohydrology,
2009,
47,
8755-1209,
10.1029/2007RG000256
|
|
74.
|
Giovanni Denaro, Davide Valenti, Bernardo Spagnolo, Gualtiero Basilone, Salvatore Mazzola, Salem W. Zgozi, Salvatore Aronica, Angelo Bonanno, Dante R. Chialvo,
Dynamics of Two Picophytoplankton Groups in Mediterranean Sea: Analysis of the Deep Chlorophyll Maximum by a Stochastic Advection-Reaction-Diffusion Model,
2013,
8,
1932-6203,
e66765,
10.1371/journal.pone.0066765
|
|
75.
|
Jose M. G. Vilar, J. Miguel Rubi,
Determinants of population responses to environmental fluctuations,
2018,
8,
2045-2322,
10.1038/s41598-017-18976-6
|
|
76.
|
Davide Valenti, Bernardo Spagnolo,
Stochastic dynamics and mean field approach in a system of three interacting species,
2009,
7,
2391-5471,
10.2478/s11534-009-0003-2
|
|
77.
|
O. A. Chichigina,
Noise with memory as a model of lemming cycles,
2008,
65,
1434-6028,
347,
10.1140/epjb/e2008-00226-6
|
|
78.
|
Andrew Morozov, Giovanni Denaro, Bernardo Spagnolo, Davide Valenti,
Revisiting the role of top-down and bottom-up controls in stabilisation of nutrient-rich plankton communities,
2019,
79,
10075704,
104885,
10.1016/j.cnsns.2019.104885
|
|
79.
|
Chunjin Wei, Yingjie Fu,
Stationary Distribution and Periodic Solution of Stochastic Toxin-Producing Phytoplankton–Zooplankton Systems,
2020,
2020,
1076-2787,
1,
10.1155/2020/4627571
|
|
80.
|
S.P. Rajasekar, M. Pitchaimani,
Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses,
2019,
118,
09600779,
207,
10.1016/j.chaos.2018.11.023
|
|
81.
|
Olga A Chichigina, Aleksey V Kargovsky, Davide Valenti,
Role of sub- and super-Poisson noise sources in population dynamics,
2020,
2020,
1742-5468,
093501,
10.1088/1742-5468/abb369
|
|
82.
|
Gui-Quan Sun, Zhen Jin, Quan-Xing Liu, Bai-Lian Li,
Rich dynamics in a predator–prey model with both noise and periodic force,
2010,
100,
03032647,
14,
10.1016/j.biosystems.2009.12.003
|
|
83.
|
A. La Cognata, D. Valenti, A. A. Dubkov, B. Spagnolo,
Dynamics of two competing species in the presence of Lévy noise sources,
2010,
82,
1539-3755,
10.1103/PhysRevE.82.011121
|
|
84.
|
Changyou Wang, Nan Li, Yuqian Zhou, Xingcheng Pu, Rui Li,
On a Multi-Delay Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion,
2019,
39,
0252-9602,
429,
10.1007/s10473-019-0209-3
|
|
85.
|
Olga A. Chichigina, Alexander A. Dubkov, Davide Valenti, Bernardo Spagnolo,
Stability in a system subject to noise with regulated periodicity,
2011,
84,
1539-3755,
10.1103/PhysRevE.84.021134
|
|
86.
|
IRINA BASHKIRTSEVA,
ANALYSIS OF LIMIT CYCLES RESPONSE ON PARAMETRIC NOISE IN ONE-DIMENSIONAL DISCRETE-TIME SYSTEMS,
2013,
12,
0219-4775,
1350009,
10.1142/S0219477513500090
|
|
87.
|
Yu Zhao, Sanling Yuan,
Stability in distribution of a stochastic hybrid competitive Lotka–Volterra model with Lévy jumps,
2016,
85,
09600779,
98,
10.1016/j.chaos.2016.01.015
|
|
88.
|
Tapan Saha, M. Banerjee,
Effect of small time delay in a predator-prey model within random environment,
2008,
16,
0971-3514,
225,
10.1007/s12591-008-0014-2
|
|
89.
|
R. Mbakob Yonkeu, R. Yamapi, G. Filatrella, C. Tchawoua,
Pseudopotential of birhythmic van der Pol-type systems with correlated noise,
2016,
84,
0924-090X,
627,
10.1007/s11071-015-2512-4
|
|
90.
|
B. I. Camara, R. Yamapi, H Mokrani,
Environmental stochastic effects on phytoplankton–zooplankton dynamics,
2019,
96,
0924-090X,
2013,
10.1007/s11071-019-04902-0
|
|
91.
|
Xiao-Chong Zhang, Gui-Quan Sun, Zhen Jin,
Spatial dynamics in a predator-prey model with Beddington-DeAngelis functional response,
2012,
85,
1539-3755,
10.1103/PhysRevE.85.021924
|
|
92.
|
Davide Valenti, Giovanni Denaro, Bernardo Spagnolo, Fabio Conversano, Christophe Brunet, Francois G. Schmitt,
How Diffusivity, Thermocline and Incident Light Intensity Modulate the Dynamics of Deep Chlorophyll Maximum in Tyrrhenian Sea,
2015,
10,
1932-6203,
e0115468,
10.1371/journal.pone.0115468
|
|
93.
|
I. Bashkirtseva, L. Ryashko,
Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with Allee effect,
2011,
21,
1054-1500,
047514,
10.1063/1.3647316
|
|
94.
|
Quan-Xing Liu, Zhen Jin, Bai-Lian Li,
Resonance and frequency-locking phenomena in spatially extended phytoplankton–zooplankton system with additive noise and periodic forces,
2008,
2008,
1742-5468,
P05011,
10.1088/1742-5468/2008/05/P05011
|
|
95.
|
G. Denaro, D. Valenti, A. La Cognata, B. Spagnolo, A. Bonanno, G. Basilone, S. Mazzola, S.W. Zgozi, S. Aronica, C. Brunet,
Spatio-temporal behaviour of the deep chlorophyll maximum in Mediterranean Sea: Development of a stochastic model for picophytoplankton dynamics,
2013,
13,
1476945X,
21,
10.1016/j.ecocom.2012.10.002
|
|
96.
|
Zheng-Lin Jia, Chun-Yan Yang, Chun Li, Dong-Cheng Mei,
Stochastic resonance in a groundwater-dependent plant ecosystem with fluctuations and time delay,
2014,
2014,
1742-5468,
P03022,
10.1088/1742-5468/2014/03/P03022
|
|
97.
|
Xiu-Deng Zheng, Cong Li, Sabin Lessard, Yi Tao,
Evolutionary stability concepts in a stochastic environment,
2017,
96,
2470-0045,
10.1103/PhysRevE.96.032414
|
|
98.
|
Jiang-Cheng Li, Chun Li, Dong-Cheng Mei,
Effects of time delay on stochastic resonance of the stock prices in financial system,
2014,
378,
03759601,
1997,
10.1016/j.physleta.2014.05.036
|
|
99.
|
Irina Bashkirtseva, Lev Ryashko, Tatyana Ryazanova,
Stochastic variability and transitions to chaos in a hierarchical three-species population model,
2019,
119,
09600779,
276,
10.1016/j.chaos.2018.12.035
|
|
100.
|
Dianli Zhao, Sanling Yuan,
Persistence and stability of the disease-free equilibrium in a stochastic epidemic model with imperfect vaccine,
2016,
2016,
1687-1847,
10.1186/s13662-016-1010-4
|
|
101.
|
Yuanlin Ma, Xingwang Yu,
Threshold dynamics of a stochastic SIVS model with saturated incidence and Lévy jumps,
2020,
2020,
1687-1847,
10.1186/s13662-020-02723-9
|
|
102.
|
Elisabetta Tornatore, Pasquale Vetro, Stefania Maria Buccellato,
SIVR epidemic model with stochastic perturbation,
2014,
24,
0941-0643,
309,
10.1007/s00521-012-1225-6
|
|
103.
|
Michael Sieber, Horst Malchow, Lutz Schimansky-Geier,
Constructive effects of environmental noise in an excitable prey–predator plankton system with infected prey,
2007,
4,
1476945X,
223,
10.1016/j.ecocom.2007.06.005
|
|
104.
|
L. Ridolfi, C. Camporeale, P. D'Odorico, F. Laio,
Transient growth induces unexpected deterministic spatial patterns in the Turing process,
2011,
95,
0295-5075,
18003,
10.1209/0295-5075/95/18003
|
|
105.
|
Hiroshi Serizawa, Takashi Amemiya, Kiminori Itoh,
Noise-triggered regime shifts in a simple aquatic model,
2009,
6,
1476945X,
375,
10.1016/j.ecocom.2009.03.002
|
|
106.
|
D. T. Hristopulos, B. Spagnolo, D. Valenti,
Open challenges in environmental data analysis and ecological complex systems
(a)
,
2020,
132,
0295-5075,
68001,
10.1209/0295-5075/132/68001
|
|
107.
|
Irina Bashkirtseva, Lev Ryashko,
Noise-induced extinction in Bazykin-Berezovskaya population model,
2016,
89,
1434-6028,
10.1140/epjb/e2016-70345-6
|
|
108.
|
Giovanni Volpe, Jan Wehr, Dmitri Petrov, J Miguel Rubi,
Thermal noise suppression: how much does it cost?,
2009,
42,
1751-8113,
095005,
10.1088/1751-8113/42/9/095005
|
|
109.
|
Tao Feng, Daniel Charbonneau, Zhipeng Qiu, Yun Kang,
Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities,
2021,
82,
0303-6812,
10.1007/s00285-021-01589-z
|
|
110.
|
Jinyu Wei, Bin Liu,
Coexistence in a competition-diffusion-advection system with equal amount of total resources,
2021,
18,
1551-0018,
3543,
10.3934/mbe.2021178
|
|
111.
|
Paolo Lazzari, Roberto Grimaudo, Cosimo Solidoro, Davide Valenti,
Stochastic 0-dimensional Biogeochemical Flux Model: Effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem,
2021,
103,
10075704,
105994,
10.1016/j.cnsns.2021.105994
|
|
112.
|
Xueyong Zhou, Xiangyun Shi, Ming Wei,
Dynamical behavior and optimal control of a stochastic mathematical model for cholera,
2022,
156,
09600779,
111854,
10.1016/j.chaos.2022.111854
|
|
113.
|
Manish Chaudhary, Mritunjay Kumar Singh,
Anomalous transport for multispecies reactive system with first order decay: time-fractional model,
2022,
97,
0031-8949,
074001,
10.1088/1402-4896/ac71e0
|
|
114.
|
Anna Olivé Abelló, Beatriz Vinha, Francisco Machín, Francesco Zerbetto, Evangelos Bakalis, Eugenio Fraile-Nuez,
Analysis of Volcanic Thermohaline Fluctuations of Tagoro Submarine Volcano (El Hierro Island, Canary Islands, Spain),
2021,
11,
2076-3263,
374,
10.3390/geosciences11090374
|
|
115.
|
Influence of periodic volatility on the stability of financial market,
2017,
66,
1000-3290,
040501,
10.7498/aps.66.040501
|
|
116.
|
Tian-Jiao Feng, Jie Mei, Rui-Wu Wang, Sabin Lessard, Yi Tao, Xiu-Deng Zheng,
Noise-Induced Quasi-Heteroclinic Cycle in a Rock–Paper–Scissors Game with Random Payoffs,
2022,
12,
2153-0785,
1280,
10.1007/s13235-021-00414-y
|
|
117.
|
Marcelo A. Pires, Nuno Crokidakis, Sílvio M. Duarte Queirós,
Randomness in ecology: The role of complexity on the Allee effect,
2022,
589,
03784371,
126548,
10.1016/j.physa.2021.126548
|
|
118.
|
Roberto Grimaudo, Paolo Lazzari, Cosimo Solidoro, Davide Valenti,
Effects of solar irradiance noise on a complex marine trophic web,
2022,
12,
2045-2322,
10.1038/s41598-022-16236-w
|
|
119.
|
Peng Fu, Can-Jun Wang, Ke-Li Yang, Xu-Bo Li, Biao Yu,
Reentrance-like vibrational resonance in a fractional-order birhythmic biological system,
2022,
155,
09600779,
111649,
10.1016/j.chaos.2021.111649
|
|
120.
|
Olga A. Chichigina, Davide Valenti,
Strongly super-Poisson statistics replaced by a wide-pulse Poisson process: The billiard random generator,
2021,
153,
09600779,
111451,
10.1016/j.chaos.2021.111451
|
|
121.
|
Krishnendu Pal, Smita Deb, Partha Sharathi Dutta,
Tipping points in spatial ecosystems driven by short-range correlated noise,
2022,
106,
2470-0045,
10.1103/PhysRevE.106.054412
|
|
122.
|
Daniel V. Olivença, Jacob D. Davis, Eberhard O. Voit,
Inference of dynamic interaction networks: A comparison between Lotka-Volterra and multivariate autoregressive models,
2022,
2,
2673-7647,
10.3389/fbinf.2022.1021838
|
|
123.
|
Rodrigo Crespo-Miguel, Javier Jarillo, Francisco J Cao-García,
Scaling of population resilience with dispersal length and habitat size,
2022,
2022,
1742-5468,
023501,
10.1088/1742-5468/ac4982
|
|
124.
|
Thibaut Arnoulx de Pirey, Leticia F. Cugliandolo, Vivien Lecomte, Frédéric van Wijland,
Path integrals and stochastic calculus,
2023,
0001-8732,
1,
10.1080/00018732.2023.2199229
|
|
125.
|
Cong Li, Tianjiao Feng, Yi Tao, Xiudeng Zheng, Jiajia Wu,
Weak selection and stochastic evolutionary stability in a stochastic replicator dynamics,
2023,
00225193,
111524,
10.1016/j.jtbi.2023.111524
|
|
126.
|
Andrew Yu. Morozov, Dalal Almutairi, Sergei V. Petrovskii, Ying-Cheng Lai,
Long transients in discontinuous time-discrete models of population dynamics,
2023,
174,
09600779,
113707,
10.1016/j.chaos.2023.113707
|
|
127.
|
Fabio Bagarello,
Phase transitions, KMS condition and decision making: an introductory model,
2023,
381,
1364-503X,
10.1098/rsta.2022.0377
|
|
128.
|
Andy Chia, Wai-Keong (Dariel) Mok, Changsuk Noh, Leong Chuan Kwek,
Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity,
2023,
15,
2542-4653,
10.21468/SciPostPhys.15.3.121
|
|
129.
|
Zeyan Yue, Sheng Wang,
Dynamics of a stochastic hybrid delay food chain model with jumps in an impulsive polluted environment,
2023,
21,
1551-0018,
186,
10.3934/mbe.2024009
|
|
130.
|
Andrew Yu. Morozov, Dalal Almutairi, Sergei V. Petrovskii, Alan Hastings,
Regime shifts, extinctions and long transients in models of population dynamics with density-dependent dispersal,
2024,
290,
00063207,
110419,
10.1016/j.biocon.2023.110419
|
|
131.
|
Chern Lee, Hai Ye, Hui Li,
The physical mechanism of stochastic calculus in random walks,
2024,
2024,
1742-5468,
023207,
10.1088/1742-5468/ad1be1
|
|
132.
|
Koushik Garain, Partha Sarathi Mandal,
Effects of Planktivorous Fish Community on a Two-Dimensional Plankton System with Allee Effect in Prey,
2024,
23,
1575-5460,
10.1007/s12346-024-01037-5
|
|
133.
|
Guido Occhipinti, Stefano Piani, Paolo Lazzari,
Stochastic effects on plankton dynamics: Insights from a realistic 0-dimensional marine biogeochemical model,
2024,
15749541,
102778,
10.1016/j.ecoinf.2024.102778
|
|
134.
|
Guangyan Zhong, Jiang-Cheng Li,
Multiple stochastic and inverse stochastic resonances with transition phenomena in complex corporate financial systems,
2024,
34,
1054-1500,
10.1063/5.0198165
|
|
135.
|
Swadesh Pal, Malay Banerjee, Roderick Melnik,
Nonequilibrium dynamics in a noise-induced predator–prey model,
2025,
191,
09600779,
115884,
10.1016/j.chaos.2024.115884
|
|
136.
|
Chenfei Ma, Xiaofeng Zhang, Rong Yuan,
Dynamic analysis of a stochastic regime-switching Lotka–Volterra competitive system with distributed delays and Ornstein–Uhlenbeck process,
2025,
190,
09600779,
115765,
10.1016/j.chaos.2024.115765
|
|
137.
|
Hui Zhang, Yi Tao, Cong Li,
Impact of environmental stochastic fluctuations on the red-king effect in interspecific mutualism,
2025,
111,
2470-0045,
10.1103/PhysRevE.111.064201
|
|
138.
|
Mohsen Pourmohammad Shahvar, Davide Valenti, Alfonso Collura, Salvatore Micciche, Vittorio Farina, Giovanni Marsella,
An Integrated Hybrid-Stochastic Framework for Agro-Meteorological Prediction Under Environmental Uncertainty,
2025,
8,
2571-905X,
30,
10.3390/stats8020030
|
|