Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376269 | Physica A: Statistical Mechanics and its Applications | 2018 | 18 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Muhammad Altaf Khan, Yasir Khan, Saeed Islam,