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Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence

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  • Liu, Qun
  • Jiang, Daqing
  • Shi, Ningzhong
  • Hayat, Tasawar
  • Alsaedi, Ahmed

Abstract

This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.

Suggested Citation

  • Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed, 2016. "Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 870-882.
    • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:870-882
    DOI: 10.1016/j.physa.2016.06.095
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    References listed on IDEAS

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    14. Liu, Chao & Wang, Luping & Zhang, Qingling & Li, Yuanke, 2018. "Modeling and dynamical analysis of a triple delayed prey–predator–scavenger system with Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1216-1239.
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