Article ID Journal Published Year Pages File Type
7376269 Physica A: Statistical Mechanics and its Applications 2018 18 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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