Complex dynamics of an SEIR epidemic model with saturated incidence rate and treatment

Muhammad Altaf Khan, Yasir Khan and Saeed Islam

Physica A: Statistical Mechanics and its Applications, 2018, vol. 493, issue C, 210-227

Abstract: In this paper, we describe the dynamics of an SEIR epidemic model with saturated incidence, treatment function, and optimal control. Rigorous mathematical results have been established for the model. The stability analysis of the model is investigated and found that the model is locally asymptotically stable when R0<1. The model is locally as well as globally asymptotically stable at endemic equilibrium when R0>1. The proposed model may possess a backward bifurcation. The optimal control problem is designed and obtained their necessary results. Numerical results have been presented for justification of theoretical results.

Keywords: SEIR epidemic model; Epidemiology; Basic reproduction number; Global stability; Backward bifurcation; Optimal treatment control; Numerical simulation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:493:y:2018:i:c:p:210-227

DOI: 10.1016/j.physa.2017.10.038

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