Dynamics of Predator-Prey and Infectious Disease Models

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".

Deadline for manuscript submissions: 30 November 2024 | Viewed by 496

Special Issue Editors


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Guest Editor
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Interests: mathematical biology; predator-prey models; impulsive differential equations; periodic solutions; stability analysis

E-Mail Website
Guest Editor
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Interests: mathematical modelling; dynamical systems; infectious disease; differential equations; spatial-temporal dynamics

Special Issue Information

Dear Colleagues,

The merger of the two disciplines of ecology, which studies population dynamics, and epidemiology, which examines the effects of disease on populations, is known as ecological epidemiology. More and more eco-epidemiological studies have found that infectious diseases regulate the host population and affect other species interacting with the host. The timely conduct of eco-epidemiological research is conducive to finding out the pattern of ecological change that leads to the occurrence of diseases, preventing disease epidemics more proactively, and preventing diseases from occurring more scientifically.

For this special issue, we will bring together scholars from diverse backgrounds to contribute original researches presenting recent advances in the study of differential equations in population ecology, infectious diseases, and other relevant areas in life sciences. All submitted manuscripts will be carefully reviewed and receive timely feedback.

Prof. Huidong Cheng
Dr. Wei Wang
Guest Editors

Manuscript Submission Information

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Keywords

  • predator-prey
  • infectious disease
  • differential equations
  • spatial-temporal dynamics
  • stability analysis

Published Papers (1 paper)

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Research

13 pages, 251 KiB  
Article
Asymptotic Behavior of Stochastic Reaction–Diffusion Equations
by Hao Wen, Yuanjing Wang, Guangyuan Liu and Dawei Liu
Mathematics 2024, 12(9), 1284; https://doi.org/10.3390/math12091284 - 24 Apr 2024
Viewed by 389
Abstract
In this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the boundedness of the solution of stochastic reaction–diffusion equations can [...] Read more.
In this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the boundedness of the solution of stochastic reaction–diffusion equations can be obtained so that we can construct a sup-solution and a sub-solution to estimate the upper bound and the lower bound of wave speed. Full article
(This article belongs to the Special Issue Dynamics of Predator-Prey and Infectious Disease Models)
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