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Impact of early treatment programs on Swine flu infection with optimal controls: Mathematical model | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 2429-2451 اصل مقاله (3.25 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.18034.1980 | ||
| نویسندگان | ||
| Hema Purushwani* 1؛ Chanda Purushwani2؛ Poonam Sinha3 | ||
| 1Govt. Model Science college Gwalior (M.P.) | ||
| 2Department of Mathematics, SOS, ITM University Gwalior (M.P.) | ||
| 3S. M. S. Govt Model Science College, Gwalior 474010, MP, India | ||
| تاریخ دریافت: 23 خرداد 1398، تاریخ پذیرش: 07 آبان 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Swine flu and Early Treatment Programs؛ SEIR Model؛ Basic Reproduction Number؛ Stability؛ Sensitivity Analysis؛ Optimal controls | ||
| مراجع | ||
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