Dynamics of an Improved SIS Epidemic Model

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2023, v.30 no.2, pp.203-220

https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.203

Reza Memarbashi (Department of Mathematics, Semnan University)
Milad Tahavor (Department of Mathematics, Semnan University)

Reza Memarbashi, & Milad Tahavor. (2023). DYNAMICS OF AN IMPROVED SIS EPIDEMIC MODEL. 한국수학교육학회지시리즈B:순수및응용수학, 30(2), 203-220, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.203

복사

Abstract

A new modification of the SIS epidemic model incorporating the adaptive host behavior is proposed. Unlike the common situation in most epidemic models, this system has two disease-free equilibrium points, and we were able to prove that as the basic reproduction number approaches the threshold of 1, these two points merge and a Bogdanov-Takens bifurcation of codimension three occurs. The occurrence of this bifurcation is a sign of the complexity of the dynamics of the system near the value 1 of basic reproduction number. Both local and global stability of disease-free and endemic equilibrium point are studied.

keywords: SIS epidemic model, adaptive host behavior, global stability, Bogdanov-Takens bifurcation

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논문 상세

Vol.30 No.2

DYNAMICS OF AN IMPROVED SIS EPIDEMIC MODEL

Dynamics of an Improved SIS Epidemic Model

Abstract

한국수학교육학회지시리즈B:순수및응용수학