Global exponential stability of positive periodic solutions for a cholera model with saturated treatment
Articles
Hongzheng Quan
Xiangtan University, China
Xueyong Zhou
Xinyang Normal University, China
Jianzhou Liu
Xiangtan University, China
Published 2019-04-22
https://doi.org/10.15388/NA.2018.5.1
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Keywords

cholera model
global exponential stability
periodic incidence rate
positive periodic solution

How to Cite

Quan, H., Zhou, X. and Liu, J. (2019) “Global exponential stability of positive periodic solutions for a cholera model with saturated treatment”, Nonlinear Analysis: Modelling and Control, 23(5), pp. 619–641. doi:10.15388/NA.2018.5.1.

Abstract

In this paper, we consider a cholera model with periodic incidence rate and saturated treatment function. Under certain conditions, we establish a criterion on the global exponential stability of positive periodic solutions for this model by using a novel method. We illustrate our theoretical results with numerical simulations by using Matlab.

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