Stability and bifurcation for an SEIS epidemic model with the impact of media

Hai-Feng Huo, Peng Yang and Hong Xiang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 702-720

Abstract: A novel SEIS epidemic model with the impact of media is introduced. By analyzing the characteristic equation of equilibrium, the basic reproduction number is obtained and the stability of the steady states is proved. The occurrence of a forward, backward and Hopf bifurcation is derived. Numerical simulations and sensitivity analysis are performed. Our results manifest that media can regard as a good indicator in controlling the emergence and spread of the epidemic disease.

Keywords: Media; Basic reproductive number; Stability; Bifurcation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:702-720

DOI: 10.1016/j.physa.2017.08.139

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