Monika Badole - Academia.edu (original) (raw)

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Papers by Monika Badole

Research paper thumbnail of Modeling and Analysis of an SEIRS Epidemic Model with Non-monotonic Incidence Rate

In this paper we investigate a SEIRS epidemic model with nonlinear saturated incidence rate 2 1 k... more In this paper we investigate a SEIRS epidemic model with nonlinear saturated incidence rate 2 1 kSI I  . According to different recovery rates, we use differential stability theory and the global stability of the disease-free equilibrium, and the existence and global stability of the endemic equilibrium proved by constructing a Lyapunov function. Some numerical simulations are given to illustrate the analytical results.

Research paper thumbnail of Stability Analysis of a Complex Dynamics of a SIR Epidemic Model with Bilinear Incidence Rate and Treatment

Journal of scientific research

In this article, A SIR epidemic model with bilinear incidence rate has been proposed and the exis... more 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.

Research paper thumbnail of Modeling and Analysis of an SEIRS Epidemic Model with Non-monotonic Incidence Rate

In this paper we investigate a SEIRS epidemic model with nonlinear saturated incidence rate 2 1 k... more In this paper we investigate a SEIRS epidemic model with nonlinear saturated incidence rate 2 1 kSI I  . According to different recovery rates, we use differential stability theory and the global stability of the disease-free equilibrium, and the existence and global stability of the endemic equilibrium proved by constructing a Lyapunov function. Some numerical simulations are given to illustrate the analytical results.

Research paper thumbnail of Stability Analysis of a Complex Dynamics of a SIR Epidemic Model with Bilinear Incidence Rate and Treatment

Journal of scientific research

In this article, A SIR epidemic model with bilinear incidence rate has been proposed and the exis... more 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.

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