Forward-backward and period doubling bifurcations in a discrete epidemic model with vaccination and limited medical resources

Yu Jhe Huang*, Jonq Juang, Tai Yi Kuo, Yu Hao Liang

*此作品的通信作者

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摘要

A discrete epidemic model with vaccination and limited medical resources is proposed to understand its underlying dynamics. The model induces a nonsmooth two dimensional map that exhibits a surprising array of dynamical behavior including the phenomena of the forward-backward bifurcation and period doubling route to chaos with feasible parameters in an invariant region. We demonstrate, among other things, that the model generates the above described phenomena as the transmission rate or the basic reproduction number of the disease gradually increases provided that the immunization rate is low, the vaccine failure rate is high and the medical resources are limited. Finally, the numerical simulations are provided to illustrate our main results.

原文English
文章編號77
期刊Journal of Mathematical Biology
86
發行號5
DOIs
出版狀態Published - 5月 2023

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