Traveling waves of a discrete diffusive waterborne pathogen model with general incidence

Jinling Zhou, Yu Yang, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

We study traveling waves of a discrete diffusive waterborne pathogen model with general incidence. The existence and non-existence of traveling waves depend on the basic reproduction number R0 and minimum wave speed c. When R0>1 and c≥c, applying the Schauder fixed point theorem, technique of Lyapunov function and the limiting argument, we establish the traveling waves connecting the disease-free equilibrium and endemic equilibrium. If R0≤1 or R0>1 and c<c, the non-existence of traveling waves can be verified by using the comparison principle and the method of Laplace transform. From our result one can see the diffusion rates of infectious individuals and bacteria in water can increase the minimum wave speed.

原文???core.languages.en_GB???
文章編號107431
期刊Communications in Nonlinear Science and Numerical Simulation
126
DOIs
出版狀態已出版 - 11月 2023

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