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Special Issue: Nonsmooth dynamic system in biology and medicine

Guest Editors

Prof. Sanyi Tang
School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, China
Email: sytang@snnu.edu.cn


Prof. Xia Wang
School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, China
Email: xiawang@snnu.edu.cn


Prof. Biao Tang
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, China
Email: biaotang@xjtu.edu.cn

Manuscript Topics

In recent years, with the gradual deepening of research in biomedical related fields such as population ecology, epidemiology, medicine, pharmacokinetics, and neuroscience, the non-smoothness of systems caused by biomedical control cannot be ignored. Non-smooth systems are often more accurate, realistic, and may trigger richer dynamics when describing biological systems. In the field of disease modeling, non-smooth biological systems not only help to characterize various human interventions and control measures, but also provide new ideas and insights for designing more effective treatment strategies. This poses great challenges to the establishment of non-smooth system models, theoretical analysis of non-smooth systems, and efficient numerical calculation methods for non-smooth systems. This special issue aims to promote the development of new models, theory, computational algorithms and efficient optimization techniques of non-smoothness systems. Through this special issue, we hope to further stimulate the development of non-smooth systems theory, promote the application of non-smooth systems theory in solving biomedical problems in the real world, and provide a platform for researchers in applied mathematics, biomedicine, epidemiology et al., to discuss the latest progress in this interdisciplinary research field.


This special issue will focus on modeling of non-smooth biological systems, developing analytical and numerical techniques, model calibration and validation. Potential fields include but are not limited to:


• Theoretical research on non-smooth systems
• The application of non-smooth system theory in population ecology, epidemiology, virus dynamics, pharmacokinetics, neuroscience, tumor treatment, and other fields
• Efficient computational algorithms and optimization techniques on non-smooth systems


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(7)

Research article
Backward bifurcation of a plant virus dynamics model with nonlinear continuous and impulsive control
Guangming Qiu Zhizhong Yang Bo Deng
2024, Volume 21, Issue 3: 4056-4084. doi: 10.3934/mbe.2024179
Abstract HTML PDF Viewed (1582)
Research article
A study of integrated pest management models with instantaneous and non-instantaneous impulse effects
Liping Wu Zhongyi Xiang
2024, Volume 21, Issue 2: 3063-3094. doi: 10.3934/mbe.2024136
Abstract HTML PDF Cited (1) Viewed (1472)
Research article
Mathematical modeling the gene mechanism of colorectal cancer and the effect of radiation exposure
Lingling Li Yulu Hu Xin Li Tianhai Tian
2024, Volume 21, Issue 1: 1186-1202. doi: 10.3934/mbe.2024050
Abstract HTML PDF Cited (1) Viewed (1848)
Research article
Dynamic analysis of two fishery capture models with a variable search rate and fuzzy biological parameters
Hua Guo Yuan Tian Kaibiao Sun Xinyu Song
2023, Volume 20, Issue 12: 21049-21074. doi: 10.3934/mbe.2023931
Abstract HTML PDF Cited (4) Viewed (1339)
Research article
Non-smooth dynamics of a SIR model with nonlinear state-dependent impulsive control
Chenxi Huang Qianqian Zhang Sanyi Tang
2023, Volume 20, Issue 10: 18861-18887. doi: 10.3934/mbe.2023835
Abstract HTML PDF Cited (1) Viewed (1648)
Research article
Media impact research: a discrete SIR epidemic model with threshold switching and nonlinear infection forces
Wenjie Qin Jiamin Zhang Zhengjun Dong
2023, Volume 20, Issue 10: 17783-17802. doi: 10.3934/mbe.2023790
Abstract HTML PDF Cited (2) Viewed (2307)
Research article
Relaxation oscillations of a piecewise-smooth slow-fast Bazykin's model with Holling type Ⅰ functional response
Xiao Wu Shuying Lu Feng Xie
2023, Volume 20, Issue 10: 17608-17624. doi: 10.3934/mbe.2023782
Abstract HTML PDF Cited (1) Viewed (2175)