Impact of early treatment programs on Swine flu infection with optimal controls: Mathematical model

Document Type : Research Paper

Authors

1 Govt. Model Science college Gwalior (M.P.)

2 Department of Mathematics, SOS, ITM University Gwalior (M.P.)

3 S. M. S. Govt Model Science College, Gwalior 474010, MP, India

Abstract

This manuscript focuses on the impact of early treatment programs on swine flu disease transmission among the population. In this manuscript, a nonlinear Susceptible-Exposed-Infected-Recovered (SEIR) model with early Treatment programs are developed to examine the transmission dynamics of Swine flu infection with the help of the system of ordinary differential equations. The characteristics of the model are investigated by the basic reproduction number. We analyzed that the model exhibits using stability theory of differential equations, the disease-free equilibrium is linearly stable for R01. Also, conditions for non-linear stability are derived. Sensitivity indices for basic reproduction and also optimal control measures for swine flu are obtained. Further, numerical simulation for the model is supported by relevant graphs.

Keywords