Using caputo-fabrizio derivative for the transmission of mathematical model epidemic Corona Virus
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Using caputo-fabrizio derivative for the transmission of mathematical model epidemic Corona Virus M. Tahir1 · G. Zaman2 · S. I. A Shah3 Received: 21 April 2020 / Accepted: 24 August 2020 © The Author(s) 2020
Abstract Just in a week a rapidly spreading corona virus which was originated in Wuhan, city of China, infected more than 20,000 people and also killed at least 427 people in that week worldwide. Corona virus is transmissible and spreading from person to person, while the Chinese commanded authorities are scrambling to treat a flood of new patients in Chines successfully. The said Corona virus has been spread from an initial outbreak in Wuhan, city of China, and invade 25 other worldwide countries. In this article, we considered the mathematical model (Chen et al. Infect Dis Poverty, https://doi.org/10.1186/s40249-020-006403) in which Bats-Hosts-Reservoir-People and their transmission was taken, while we introduced the population of susceptible Bats and visitors to Wuhan city or any country in same mathematical model. Now we studying two types of populations first Bats-Hosts-ReservoirPeople (Chen et al. Infect Dis Poverty, https://doi.org/10.1186/s40249-020-00640-3, also introducing susceptible Bats and second visitors to Wuhan city, china or any country in the same model. We used Caputo-Fabrizio derivative with provided result that the addition of susceptible Bats and visitors are not responsible in spread of infection. The numerical result also supported our model. Keyword Reservoir to person population(RP), Visitors population(VP), Mathematical model, R0 , Caputo-Fabrizio derivative, Numerical Simulation.
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M. Tahir [email protected] G. Zaman [email protected] S. I. A Shah [email protected]
1
Department Of Mathematics, Northern University, Nowshera, KPK, Pakistan
2
Department of Mathematics, University of Malakand, Chakdara District Lower Dir, KPK, Pakistan
3
Department Of Mathematics, Islamia College University, 25000 Peshawar, Pakistan
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M. Tahir et al.
1 Background The people of the entire world seen a very new epidemic thread in end of 2019 and 2020. After the middle East Respiratory Syndrome(MERS), in middle east, a new virus Corona attacked the “Wuhan city, China”. The Corona virus was first emerged in late December and has killed more than 2500 people there, this means “Wuhan”, China alone accounted for nearly 80 percent of the country’s with total deaths occur 3299 or more. Before this, the World Health Organization (WHO) China Country Office informed in 31, December 2019 about pneumonia(unknown cause) detected in “Wuhan” city, Hubei China and WHO announced novel Corona virus (2019-nCoV). The International Committee of Taxonomy assigned it severe acute respiratory syndrome Corona virus-2(SARS-CoV-2) on 11 February, 2020 [12, 31,34]. Similarly some of the best approaches was studied and presented in [4,15,18,35]. All the country then infected, and an perception was drawn that visitors involve in this transmission of new virus mostly. Scientists of all the world then felt an urgent
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