Global stability of two-group SIR model with random perturbation (original) (raw)
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Journal of scientific research
In this article, A SIR epidemic model with bilinear incidence rate has been proposed and the existing threshold requirements of all classifications of equilibrium points are obtained. Further, we study the global and local stability of the disease-free and endemic equilibriums of the model. An optimal control problem is formed and solved. Some numerical simulations works are carried out to demonstrate our results. In this process, our results generalized and improved any results in existing literature.