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Special Issue: Mathematical Modeling and Dynamical Systems in the Life Sciences

Guest Editor

Dr. Xiang-Sheng Wang
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70503, USA
Email: xiangsheng.wang@louisiana.edu

Manuscript Topics

Mathematical modeling and dynamical systems have played a significant role in understanding population growth, spatial invasions, disease outbreaks, viral dynamics, and other processes in the life sciences. In this special issue, we will bring together scholars from various backgrounds to publish original research articles with recent advances in the study of mathematical modeling and dynamical systems in the life sciences. All submitted manuscripts will receive careful consideration and timely feedback.


Instructions for authors
https://www.aimspress.com/mbe/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 December 2023

Published Papers(46)

Research article
A Darwinian version of the Leslie logistic model for age-structured populations
Jim M. Cushing
2025, Volume 22, Issue 6: 1263-1279. doi: 10.3934/mbe.2025047
Abstract HTML PDF Viewed (427)
Research article
A stage structured model for mosquito suppression with immigration
Mugen Huang,  Zifeng Wang,  Zixin Nie
2024, Volume 21, Issue 11: 7454-7479. doi: 10.3934/mbe.2024328
Abstract HTML PDF Viewed (848)
Research article
Combined impact of fear and Allee effect in predator-prey interaction models on their growth
Kawkab Al Amri,  Qamar J. A Khan,  David Greenhalgh
2024, Volume 21, Issue 10: 7211-7252. doi: 10.3934/mbe.2024319
Abstract HTML PDF Viewed (1012)
Research article
Dynamics of a stoichiometric phytoplankton-zooplankton model with season-driven light intensity
Zhenyao Sun,  Da Song,  Meng Fan
2024, Volume 21, Issue 8: 6870-6897. doi: 10.3934/mbe.2024301
Abstract HTML PDF Viewed (1277)
Research article
Mathematical analysis of synthesis chemical reactions for virus building block polymers in vivo
Yuewu Liu,  Yan Peng
2024, Volume 21, Issue 6: 6393-6406. doi: 10.3934/mbe.2024279
Abstract HTML PDF Viewed (1185)
Research article
Stability and Hopf bifurcation of an intraguild prey-predator fishery model with two delays and Michaelis-Menten type predator harvest
Min Hou,  Tonghua Zhang,  Sanling Yuan
2024, Volume 21, Issue 4: 5687-5711. doi: 10.3934/mbe.2024251
Abstract HTML PDF Viewed (1293)
Research article
Qualitative behavior of a highly non-linear Cutaneous Leishmania epidemic model under convex incidence rate with real data
Manal Alqhtani,  Khaled M. Saad,  Rahat Zarin,  Amir Khan,  Waleed M. Hamanah
2024, Volume 21, Issue 2: 2084-2120. doi: 10.3934/mbe.2024092
Abstract HTML PDF Cited (25) Viewed (1758)
Research article
Global analysis of a diffusive Cholera model with multiple transmission pathways, general incidence and incomplete immunity in a heterogeneous environment
Shengfu Wang,  Linfei Nie
2024, Volume 21, Issue 4: 4927-4955. doi: 10.3934/mbe.2024218
Abstract HTML PDF Viewed (1481)
Research article
Gompertz models with periodical treatment and applications to prostate cancer
Leonardo Schultz,  Antonio Gondim,  Shigui Ruan
2024, Volume 21, Issue 3: 4104-4116. doi: 10.3934/mbe.2024181
Abstract HTML PDF Cited (3) Viewed (2267)
Research article
Optimal strategies of oncolytic virus-bortezomib therapy via the apoptotic, necroptotic, and oncolysis signaling network
Donggu Lee,  Aurelio A. de los Reyes V,  Yangjin Kim
2024, Volume 21, Issue 3: 3876-3909. doi: 10.3934/mbe.2024173
Abstract HTML PDF Cited (2) Viewed (1950)
Research article
Model of strategy control for delayed panic spread in emergencies
Rongjian Lv,  Hua Li,  Qiubai Sun,  Bowen Li
2024, Volume 21, Issue 1: 75-95. doi: 10.3934/mbe.2024004
Abstract HTML PDF Viewed (1732)
Research article
Dynamics of an epidemic model with general incidence rate dependent on a class of disease-related contact functions
Qian Yan,  Xianning Liu
2023, Volume 20, Issue 12: 20795-20808. doi: 10.3934/mbe.2023920
Abstract HTML PDF Viewed (2048)
Research article
The effect of migration on transmission of Wolbachia in Nilaparvata lugens
Zhigang Liu,  Tiejun Zhou
2023, Volume 20, Issue 11: 20213-20244. doi: 10.3934/mbe.2023895
Abstract HTML PDF Cited (1) Viewed (1809)
Research article
Global Hopf bifurcation of a cholera model with media coverage
Jie He,  Zhenguo Bai
2023, Volume 20, Issue 10: 18468-18490. doi: 10.3934/mbe.2023820
Abstract HTML PDF Cited (1) Viewed (1709)
Research article
Multi-stable and spatiotemporal staggered patterns in a predator-prey model with predator-taxis and delay
Yue Xing,  Weihua Jiang,  Xun Cao
2023, Volume 20, Issue 10: 18413-18444. doi: 10.3934/mbe.2023818
Abstract HTML PDF Cited (3) Viewed (1883)
Research article
A mathematical model between keystone species: Bears, salmon and vegetation
Christopher Middlebrook,  Xiaoying Wang
2023, Volume 20, Issue 9: 16628-16647. doi: 10.3934/mbe.2023740
Abstract HTML PDF Viewed (2044)
Research article
An eco-epidemic model for assessing the application of integrated pest management strategies
Wenjie Qin,  Yue Xia,  Yi Yang
2023, Volume 20, Issue 9: 16506-16527. doi: 10.3934/mbe.2023736
Abstract HTML PDF Cited (3) Viewed (2231)
Research article
Factors affecting the transmission of dengue fever in Haikou city in 2019
Zuohuan Zheng,  Kaihua Wang,  Daiyu Yang,  Feifei Yin,  Dingwei Sun,  Weiyan Yu,  Jialun Lin,  Ying Liu,  Changkuan Chen,  Zehui Yang,  Biao Wu
2023, Volume 20, Issue 9: 16045-16059. doi: 10.3934/mbe.2023716
Abstract HTML PDF Cited (1) Viewed (2373)
Research article
Modelling the transmission and control of COVID-19 in Yangzhou city with the implementation of Zero-COVID policy
Juan Li,  Wendi Bao,  Xianghong Zhang,  Yongzhong Song,  Zhigui Lin,  Huaiping Zhu
2023, Volume 20, Issue 9: 15781-15808. doi: 10.3934/mbe.2023703
Abstract HTML PDF Cited (2) Viewed (2292)
Research article
Analysis of modified Holling-Tanner model with strong Allee effect
Kunlun Huang,  Xintian Jia,  Cuiping Li
2023, Volume 20, Issue 8: 15524-15543. doi: 10.3934/mbe.2023693
Abstract HTML PDF Cited (1) Viewed (2187)
Research article
Computation of the basic reproduction numbers for reaction-diffusion epidemic models
Chayu Yang,  Jin Wang
2023, Volume 20, Issue 8: 15201-15218. doi: 10.3934/mbe.2023680
Abstract HTML PDF Cited (1) Viewed (2008)
Research article
Dynamics of an SEIR model with media coverage mediated nonlinear infectious force
Jingli Xie,  Hongli Guo,  Meiyang Zhang
2023, Volume 20, Issue 8: 14616-14633. doi: 10.3934/mbe.2023654
Abstract HTML PDF Cited (3) Viewed (2017)
Research article
Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel
Shuangshuang Yin,  Jianhong Wu,  Pengfei Song
2023, Volume 20, Issue 7: 13434-13456. doi: 10.3934/mbe.2023599
Abstract HTML PDF Cited (1) Viewed (1596)
Research article
Comparison of dynamic behavior between continuous- and discrete-time models of intraguild predation
Ming Chen,  Menglin Gong,  Jimin Zhang,  Lale Asik
2023, Volume 20, Issue 7: 12750-12771. doi: 10.3934/mbe.2023569
Abstract HTML PDF Cited (3) Viewed (1624)
Research article
Modeling the fear effect in the predator-prey dynamics with an age structure in the predators
Wanxiao Xu,  Ping Jiang,  Hongying Shu,  Shanshan Tong
2023, Volume 20, Issue 7: 12625-12648. doi: 10.3934/mbe.2023562
Abstract HTML PDF Cited (2) Viewed (2012)
Research article
Evaluations of heterogeneous epidemic models with exponential and non-exponential distributions for latent period: the Case of COVID-19
Huiping Zang,  Shengqiang Liu,  Yi Lin
2023, Volume 20, Issue 7: 12579-12598. doi: 10.3934/mbe.2023560
Abstract HTML PDF Cited (3) Viewed (2303)
Research article
Bifurcation analysis of a reaction-diffusion-advection predator-prey system with delay
Honghua Bin,  Daifeng Duan,  Junjie Wei
2023, Volume 20, Issue 7: 12194-12210. doi: 10.3934/mbe.2023543
Abstract HTML PDF Cited (4) Viewed (2288)
Research article
A framework for long-lasting, slowly varying transient dynamics
Ankai Liu,  Felicia Maria G. Magpantay,  Kenzu Abdella
2023, Volume 20, Issue 7: 12130-12153. doi: 10.3934/mbe.2023540
Abstract HTML PDF Cited (1) Viewed (1652)
Research article
Dynamic analysis of sheep Brucellosis model with environmental infection pathways
Zongmin Yue,  Yuanhua Mu,  Kekui Yu
2023, Volume 20, Issue 7: 11688-11712. doi: 10.3934/mbe.2023520
Abstract HTML PDF Cited (1) Viewed (2167)
Research article
Projections of human papillomavirus vaccination and its impact on cervical cancer using the Caputo fractional derivative
Simphiwe M. Simelane,  Justin B. Munyakazi,  Phumlani G. Dlamini,  Oluwaseun F. Egbelowo
2023, Volume 20, Issue 7: 11605-11626. doi: 10.3934/mbe.2023515
Abstract HTML PDF Cited (1) Viewed (1898)
Research article
Characterization of spatiotemporal dynamics in EEG data during picture naming with optical flow patterns
V. Volpert,  B. Xu,  A. Tchechmedjiev,  S. Harispe,  A. Aksenov,  Q. Mesnildrey,  A. Beuter
2023, Volume 20, Issue 6: 11429-11463. doi: 10.3934/mbe.2023507
Abstract HTML PDF Cited (3) Viewed (2098)
Research article
Dynamic modeling and analysis of Hepatitis B epidemic with general incidence
Tingting Xue,  Long Zhang,  Xiaolin Fan
2023, Volume 20, Issue 6: 10883-10908. doi: 10.3934/mbe.2023483
Abstract HTML PDF Cited (2) Viewed (2359)
Theory article
Stability and persistence analysis of a microorganism flocculation model with infinite delay
Jiaxin Nan,  Wanbiao Ma
2023, Volume 20, Issue 6: 10815-10827. doi: 10.3934/mbe.2023480
Abstract HTML PDF Viewed (1876)
Research article
Mathematical model of interaction Escherichia coli and Coliphages
Miller Cerón Gómez,  Eduardo Ibarguen Mondragon,  Eddy Lopez Molano,  Arsenio Hidalgo-Troya,  Maria A. Mármol-Martínez,  Deisy Lorena Guerrero-Ceballos,  Mario A. Pantoja,  Camilo Paz-García,  Jenny Gómez-Arrieta,  Mariela Burbano-Rosero
2023, Volume 20, Issue 6: 9712-9727. doi: 10.3934/mbe.2023426
Abstract HTML PDF Viewed (3265)
Research article
A GPU accelerated study of aqueous humor dynamics in human eyes using the lattice Boltzmann method
Gang Huang,  Qianlin Ye,  Hao Tang,  Zhangrong Qin
2023, Volume 20, Issue 5: 8476-8497. doi: 10.3934/mbe.2023372
Abstract HTML PDF Cited (1) Viewed (1896)
Research article
Propagation dynamics in an SIRS model with general incidence functions
Wenhao Chen,  Guo Lin,  Shuxia Pan
2023, Volume 20, Issue 4: 6751-6775. doi: 10.3934/mbe.2023291
Abstract HTML PDF Viewed (2788)
Research article
Dynamics of a stochastic turbidostat model with sampled and delayed measurements
Tingting Yu,  Sanling Yuan
2023, Volume 20, Issue 4: 6215-6236. doi: 10.3934/mbe.2023268
Abstract HTML PDF Viewed (1845)
Brief report
Resurgence of different influenza types in China and the US in 2021
Boqiang Chen,  Zhizhou Zhu,  Qiong Li,  Daihai He
2023, Volume 20, Issue 4: 6327-6333. doi: 10.3934/mbe.2023273
Abstract HTML PDF Cited (9) Viewed (2598)
Research article
Dynamic behavior analysis of an SVIR epidemic model with two time delays associated with the COVID-19 booster vaccination time
Zimeng Lv,  Xinyu Liu,  Yuting Ding
2023, Volume 20, Issue 4: 6030-6061. doi: 10.3934/mbe.2023261
Abstract HTML PDF Cited (4) Viewed (2258)
Research article
Dynamics analysis of building block synthesis reactions for virus assembly in vitro
Yuewu Liu,  Mengfang Zeng,  Shengyong Liu,  Chun Li
2023, Volume 20, Issue 2: 4082-4102. doi: 10.3934/mbe.2023191
Abstract HTML PDF Cited (1) Viewed (1938)
Research article
Viral infection dynamics with mitosis, intracellular delays and immune response
Jiawei Deng,  Ping Jiang,  Hongying Shu
2023, Volume 20, Issue 2: 2937-2963. doi: 10.3934/mbe.2023139
Abstract HTML PDF Cited (1) Viewed (2364)
Research article
A fractional order model of the COVID-19 outbreak in Bangladesh
Saima Akter,  Zhen Jin
2023, Volume 20, Issue 2: 2544-2565. doi: 10.3934/mbe.2023119
Abstract HTML PDF Cited (4) Viewed (2358)
Research article
Stability and Hopf bifurcation of an HIV infection model with two time delays
Yu Yang,  Gang Huang,  Yueping Dong
2023, Volume 20, Issue 2: 1938-1959. doi: 10.3934/mbe.2023089
Abstract HTML PDF Cited (7) Viewed (2557)
Research article
Dynamics of an impulsive reaction-diffusion mosquitoes model with multiple control measures
Yun Li,  Hongyong Zhao,  Kai Wang
2023, Volume 20, Issue 1: 775-806. doi: 10.3934/mbe.2023036
Abstract HTML PDF Cited (3) Viewed (2344)
Research article
Spatiotemporal dynamics for impulsive eco-epidemiological model with Crowley-Martin type functional response
Haifeng Huo,  Fanhong Zhang,  Hong Xiang
2022, Volume 19, Issue 12: 12180-12211. doi: 10.3934/mbe.2022567
Abstract HTML PDF Cited (1) Viewed (2227)
Research article
Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues
Saima Rashid,  Rehana Ashraf,  Qurat-Ul-Ain Asif,  Fahd Jarad
2022, Volume 19, Issue 11: 11563-11594. doi: 10.3934/mbe.2022539
Abstract HTML PDF Cited (4) Viewed (2338)
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