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Special Issue: Differential Equations in Mathematical Biology

Guest Editors

Dr. Toshikazu Kuniya
Graduate School of System Informatics, Kobe University, Japan
Email: tkuniya@port.kobe-u.ac.jp


Dr. Yoichi Enatsu
Department of Applied Mathematics, Faculty of Science, Tokyo University of Science, Japan
Email: yenatsu@rs.tus.ac.jp

Manuscript Topics

Differential equations have played an important role in the development of mathematical biology. They are not only useful in understanding biological phenomena, but also include their own mathematical interests.


The aim of this special issue is to collect timely papers focusing on the theory and application of differential equations in mathematical biology. Potential topics include but are not limited to:


• Partial and/or ordinary differential equations in biology
• Reaction diffusion equations in biology
• Delay differential equations in biology
• Stochastic differential equations in biology
• Population dynamics
• Epidemic models
• Viral infection models
• Lotka-Volterra models
• Stability analysis


All papers will be carefully refereed. Papers based on the biological motivation are preferred, but more mathematical and/or technical papers are also welcome. There is no limitation of pages.


Instructions for authors
https://www.aimspress.com/mbe/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
http://oeps.aimspress.com/mbe/ch/author/login.aspx

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 January 2019

Published Papers(16)

Research article
Stability properties of neural networks with non-instantaneous impulses
Ravi Agarwal,  Snezhana Hristova,  Donal O’Regan,  Radoslava Terzieva
2019, Volume 16, Issue 3: 1210-1227. doi: 10.3934/mbe.2019058
Abstract HTML PDF Cited (5) Viewed (4786)
Research article
Global stability of an age-structured epidemic model with general Lyapunov functional
Abdennasser Chekroun,  Mohammed Nor Frioui,  Toshikazu Kuniya,  Tarik Mohammed Touaoula
2019, Volume 16, Issue 3: 1525-1553. doi: 10.3934/mbe.2019073
Abstract HTML PDF Cited (22) Viewed (5860)
Research article
Traveling waves for SVIR epidemic model with nonlocal dispersal
Ran Zhang,  Shengqiang Liu
2019, Volume 16, Issue 3: 1654-1682. doi: 10.3934/mbe.2019079
Abstract HTML PDF Cited (17) Viewed (5061)
Research article
Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis
Xue Xu,  Yibo Wang,  Yuwen Wang
2019, Volume 16, Issue 4: 1786-1797. doi: 10.3934/mbe.2019086
Abstract HTML PDF Cited (1) Viewed (4764)
Research article
Nanomedicine by extended non-equilibrium thermodynamics: cell membrane diffusion and scaffold medication release
Hatim Machrafi
2019, Volume 16, Issue 4: 1949-1965. doi: 10.3934/mbe.2019095
Abstract HTML PDF Cited (1) Viewed (4754)
Research article
Bifurcation analysis in a singular Beddington-DeAngelis predator-prey model with two delays and nonlinear predator harvesting
Xin-You Meng,  Yu-Qian Wu
2019, Volume 16, Issue 4: 2668-2696. doi: 10.3934/mbe.2019133
Abstract HTML PDF Cited (14) Viewed (5424)
Research article
Mechano-biological model of glioblastoma cells in response to osmotic stress
Giulia Pozzi,  Stefano Marchesi,  Giorgio Scita,  Davide Ambrosi,  Pasquale Ciarletta
2019, Volume 16, Issue 4: 2795-2810. doi: 10.3934/mbe.2019139
Abstract HTML PDF Cited (4) Viewed (5505)
Research article
Bifurcation structure of nonconstant positive steady states for a diffusive predator-prey model
Dongfu Tong,  Yongli Cai,  Bingxian Wang,  Weiming Wang
2019, Volume 16, Issue 5: 3988-4006. doi: 10.3934/mbe.2019197
Abstract HTML PDF Cited (2) Viewed (5013)
Research article
Existence of pulses for a reaction-diffusion system of blood coagulation in flow
Nicolas Ratto,  Martine Marion,  Vitaly Volpert
2019, Volume 16, Issue 5: 4196-4212. doi: 10.3934/mbe.2019209
Abstract HTML PDF Viewed (4443)
Research article
The effect of the needle exchange program on the spread of some sexually transmitted diseases
Eliza Bánhegyi,  Attila Dénes,  János Karsai,  László Székely
2019, Volume 16, Issue 5: 4506-4525. doi: 10.3934/mbe.2019225
Abstract HTML PDF Viewed (5424)
Research article
Exploring the dynamics of a tritrophic food chain model with multiple gestation periods
Ranjit Kumar Upadhyay,  Swati Mishra,  Yueping Dong,  Yasuhiro Takeuchi
2019, Volume 16, Issue 5: 4660-4691. doi: 10.3934/mbe.2019234
Abstract HTML PDF Cited (8) Viewed (5207)
Research article
Mathematical analysis on deterministic and stochastic lake ecosystem models
Zhiwei Huang,  Gang Huang
2019, Volume 16, Issue 5: 4723-4740. doi: 10.3934/mbe.2019237
Abstract HTML PDF Cited (1) Viewed (5145)
Research article
Global dynamics of an SIRS model with demographics and transfer from infectious to susceptible on heterogeneous networks
Haijun Hu,  Xupu Yuan,  Lihong Huang,  Chuangxia Huang
2019, Volume 16, Issue 5: 5729-5749. doi: 10.3934/mbe.2019286
Abstract HTML PDF Cited (63) Viewed (6099)
Research article
Calculating all multiple parameter solutions of ODE models to avoid biological misinterpretations
Maria Pia Saccomani,  Karl Thomaseth
2019, Volume 16, Issue 6: 6438-6453. doi: 10.3934/mbe.2019322
Abstract HTML PDF Cited (2) Viewed (5990)
Research article
Mathematical modeling of tumor growth: the MCF-7 breast cancer cell line
Hsiu-Chuan Wei
2019, Volume 16, Issue 6: 6512-6535. doi: 10.3934/mbe.2019325
Abstract HTML PDF Cited (25) Viewed (9618)
Research article
Basic reproduction number of SEIRS model on regular lattice
Kazunori Sato
2019, Volume 16, Issue 6: 6708-6727. doi: 10.3934/mbe.2019335
Abstract HTML PDF Cited (6) Viewed (6185)
Mathematical Biosciences and Engineering
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