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- W4220873669 abstract "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." @default.
- W4220873669 created "2022-04-03" @default.
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- W4220873669 date "2023-01-01" @default.
- W4220873669 modified "2023-09-25" @default.
- W4220873669 title "A hierarchical parametric analysis on Hopf bifurcation of an epidemic model" @default.
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- W4220873669 doi "https://doi.org/10.3934/dcdss.2022069" @default.
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