Dynamics of discrete epidemic models on heterogeneous networks

Xinhe Wang, Junwei Lu, Zhen Wang and Yuxia Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 539, issue C

Abstract: In this paper, one considers the discrete epidemic models on heterogeneous networks, stability and bifurcation of the endemic equilibrium of SIS model is studied, the dynamics analysis of SIRS model and the immunization are discussed. Compared with the epidemic model established by differential equations, the difference systems have the same stability conditions at the disease free equilibrium, and the dynamical behaviours of endemic equilibrium is more complex for discrete epidemic model. These obtained results can be used to explore the complex epidemic propagation dynamics on the networks.

Keywords: Discrete epidemic model; Heterogeneous networks; Basic reproduction number; Stability and bifurcation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:539:y:2020:i:c:s0378437119316905

DOI: 10.1016/j.physa.2019.122991

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