Title of article
Impact of early treatment programs on Swine flu infection with optimal controls: Mathematical model
Author/Authors
Purushwani, Hema Govt. Model Science college Gwalior (M.P.), India , Purushwani, Chanda Department of Mathematics - ITM University Gwalior (M.P.), India , Sinha, Poonam Govt. Model Science college Gwalior (M.P.), India
Pages
23
From page
2429
To page
2451
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
Swine flu and Early Treatment Programs , SEIR Model , Basic Reproduction Number , Stability , Sensitivity Analysis , Optimal controls
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2702034
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