ArticleAdvances in difference equations2021
Dynamical system of the growth of COVID-19 with controller.
Article in Advances in difference equations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains.Advances in continuous and discrete models · 2022Article
- Fractional dynamic system simulating the growth of microbe.Advances in difference equations · 2021Article
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3 authors.
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Abstract
Recently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.
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