Impact of early treatment programs on Swine flu infection with optimal controls: Mathematical model
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 96
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شناسه ملی سند علمی:
JR_IJNAA-12-2_185
تاریخ نمایه سازی: 11 آذر 1401
چکیده مقاله:
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 R۰۱. 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.
کلیدواژه ها:
Swine flu and Early Treatment Programs ، SEIR Model ، Basic Reproduction Number ، stability ، Sensitivity analysis ، Optimal controls