New Caputo-Fabrizio fractional order SEIASqEqHR model for COVID-19 epidemic transmission with genetic algorithm based control strategy
Fecha
2020Autor
Higazy, M.
Ahmed Alyam, Maryam
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Resumen
Fractional derivative has a memory and non-localization features that make it very useful in modelling epidemics’ transition. The kernel of Caputo-Fabrizio fractional derivative has
many features such as non-singularity, non-locality and an exponential form. Therefore, it is preferred for modeling disease spreading systems. In this work, we suggest to formulate COVID-19
epidemic transmission via SEIASqEqHR paradigm using the Caputo-Fabrizio fractional derivation
method. In the suggested fractional order COVID-19 SEIASqEqHR paradigm, the impact of changing quarantining and contact rates are examined. The stability of the proposed fractional order
COVID-19 SEIASqEqHR paradigm is studied and a parametric rule for the fundamental reproduction number formula is given. The existence and uniqueness of stable solution of the proposed fractional order COVID-19 SEIASqEqHR paradigm are proved. Since the genetic algorithm is a
common powerful optimization method, we propose an optimum control strategy based on the
genetic algorithm. By this strategy, the peak values of the infected population classes are to be minimized. The results show that the proposed fractional model is epidemiologically well-posed and is a
proper elect.
Palabras clave
COVID-19; Fractional derivative; Caputo-Fabrizio fractional order differential operator; The existence and uniqueness; Genetic algorithmEnlace al recurso
https://doi.org/10.1016/j.aej.2020.08.034Colecciones
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