Special Issue: Differential equations, dynamical systems and their applications

Guest Editor

Prof. Mingji Zhang
Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM, USA
Email: mingji.zhang@nmt.edu

Manuscript Topics

Differential equations and dynamical systems have been playing important roles in all branches of science. This special issue will particularly focus on mathematical analysis and numerical simulations of differential equations of different type, such as ordinary differential equations, delayed differential equations, stochastic partial differential equations, fractional differential equations, reaction diffusion equations, etc. that arise from ecology, neural science, environmental science, and biology. Of particular interests are recent developments in dynamic behaviors, pattern formation, steady-state solutions, periodic solutions, and traveling wave solutions of the aforementioned differential equations.


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 January 2025

Published Papers(11)

Research article
Modeling localized corrosion in biofuel storage tanks
Hossein Moradi Gabriele Grifò Maria Francesca Milazzo Edoardo Proverbio Giancarlo Consolo
2025, Volume 22, Issue 3: 677-699. doi: 10.3934/mbe.2025025
Abstract HTML PDF Viewed (537)
Research article
Revisiting the classical target cell limited dynamical within-host HIV model - Basic mathematical properties and stability analysis
Benjamin Wacker
2024, Volume 21, Issue 12: 7805-7829. doi: 10.3934/mbe.2024343
Abstract HTML PDF Cited (1) Viewed (863)
Research article
Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes
Maria Guadalupe Vazquez-Peña Cruz Vargas-De-León Jorge Velázquez-Castro
2024, Volume 21, Issue 11: 7582-7600. doi: 10.3934/mbe.2024333
Abstract HTML PDF Viewed (663)
Research article
New insights into the effects of small permanent charge on ionic flows: A higher order analysis
Hamid Mofidi
2024, Volume 21, Issue 5: 6042-6076. doi: 10.3934/mbe.2024266
Abstract HTML PDF Cited (2) Viewed (981)
Research article
Dynamical analysis of a discrete two-patch model with the Allee effect and nonlinear dispersal
Minjuan Gao Lijuan Chen Fengde Chen
2024, Volume 21, Issue 4: 5499-5520. doi: 10.3934/mbe.2024242
Abstract HTML PDF Cited (1) Viewed (1291)
Research article
Ulam type stability for von Bertalanffy growth model with Allee effect
Masumi Kondo Masakazu Onitsuka
2024, Volume 21, Issue 3: 4698-4723. doi: 10.3934/mbe.2024206
Abstract HTML PDF Cited (1) Viewed (1017)
Research article
Finite ion size effects on I-V relations via Poisson-Nernst-Planck systems with two cations: A case study
Yiwei Wang Mingji Zhang
2024, Volume 21, Issue 2: 1899-1916. doi: 10.3934/mbe.2024084
Abstract HTML PDF Viewed (1244)
Research article
Mirrored dynamics of a wild mosquito population suppression model with Ricker-type survival probability and time delay
Zhongcai Zhu Xiaomei Feng Xue He Hongpeng Guo
2024, Volume 21, Issue 2: 1884-1898. doi: 10.3934/mbe.2024083
Abstract HTML PDF Viewed (1501)
Research article
Effect of color cross-correlated noise on the growth characteristics of tumor cells under immune surveillance
Yan Fu Tian Lu Meng Zhou Dongwei Liu Qihang Gan Guowei Wang
2023, Volume 20, Issue 12: 21626-21642. doi: 10.3934/mbe.2023957
Abstract HTML PDF Cited (1) Viewed (1535)
Research article
A sufficient maximum principle for backward stochastic systems with mixed delays
Heping Ma Hui Jian Yu Shi
2023, Volume 20, Issue 12: 21211-21228. doi: 10.3934/mbe.2023938
Abstract HTML PDF Viewed (1495)
Research article
Stability and Hopf bifurcation analysis of a fractional-order ring-hub structure neural network with delays under parameters delay feedback control
Yuan Ma Yunxian Dai
2023, Volume 20, Issue 11: 20093-20115. doi: 10.3934/mbe.2023890
Abstract HTML PDF Cited (2) Viewed (1317)