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2 results on '"Hu, Zengyun"'

1. Stability analysis in a class of discrete SIRS epidemic models

Author

Hu, Zengyun, Teng, Zhidong, and Jiang, Haijun

Subjects
*PORCINE reproductive & respiratory syndrome, *EPIDEMIOLOGY, *DISCRETE-time systems, *COMPUTER simulation, *EXISTENCE theorems, *BIFURCATION theory
Abstract

Abstract: In this paper, the dynamical behaviors of a class of discrete-time SIRS epidemic models are discussed. The conditions for the existence and local stability of the disease-free equilibrium and endemic equilibrium are obtained. The numerical simulations not only illustrate the validity of our results, but also exhibit more complex dynamical behaviors, such as flip bifurcation, Hopf bifurcation and chaos phenomenon. These results reveal far richer dynamical behaviors of the discrete epidemic model compared with the continuous epidemic models. [Copyright &y& Elsevier]

Published
2012
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2. Stability and bifurcation analysis in a discrete SIR epidemic model.

Author

Hu, Zengyun, Teng, Zhidong, and Zhang, Long

Subjects
*STABILITY theory, *DISCRETE systems, *EPIDEMIOLOGICAL models, *HOPF bifurcations, *EQUILIBRIUM, *COMPUTER simulation
Abstract

Abstract: The paper discusses the dynamical behaviors of a discrete-time SIR epidemic model. The local stability of the disease-free equilibrium and endemic equilibrium is obtained. It is shown that the model undergoes flip bifurcation and Hopf bifurcation by using center manifold theorem and bifurcation theory. Numerical simulations not only illustrate our results, but also exhibit the complex dynamical behaviors, such as the period-doubling bifurcation in period-2, 4, 8, quasi-periodic orbits and the chaotic sets. These results reveal far richer dynamical behaviors of the discrete epidemic model compared with the continuous epidemic models although the discrete epidemic model is easy. [Copyright &y& Elsevier]

Published
2014
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