A HIERARCHICAL PARAMETRIC ANALYSIS ON HOPF BIFURCATION OF AN EPIDEMIC MODEL

BING ZENG; PEI YU

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A HIERARCHICAL PARAMETRIC ANALYSIS ON HOPF BIFURCATION OF AN EPIDEMIC MODEL

机译：A HIERARCHICAL PARAMETRIC ANALYSIS ON HOPF BIFURCATION OF AN EPIDEMIC MODEL

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A common task in studying nonlinear dynamical systems is to derive the conditions on stability and bifurcations, which becomes difficulty when the system contain multiple parameters. In particular, finding the explicit conditions under which Hopf bifurcation can occur is not easy and becomes very involved even for simple models. In this paper, an epidemic model is presented to illustrate how to use a hierarchical parametric analysis for bifurcation study, in particular to demonstrate how to choose proper parameters as bifurcation parameters, how to deal with other control" parameters, and how to derive the conditions on stability and Hopf bifurcation, which are explicitly expressed in terms of system parameters.

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来源
《Discrete and continuous dynamical systems, Series S》 |2023年第4期|708-724|共17页
作者
BING ZENG; PEI YU;
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作者单位

School of Mathematics and Statistics, Lingnan Normal University Zhanjiang, Guandong 524048, China;

Department of Mathematics, Western University London, Ontario, N6A 5B7, Canada;

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正文语种英语
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Epidemic model; hierarchical parametric analysis; stability; Hopf bifurcation; limit cycle;

A HIERARCHICAL PARAMETRIC ANALYSIS ON HOPF BIFURCATION OF AN EPIDEMIC MODEL

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