Abstract
In this paper, Mathematical Model of COVID-19 Pandemic is formulated and discussed. The positivity, boundedness, and existence of the solutions of the model equations are stated and proved. The Disease-free equilibrium point & endemic equilibrium points are identified. Stability Analysis of the model is done with the concept of Next generation matrix. we have investigated that Disease-free equilibrium point (DFEP) of the model is locally asymptotically stable if α≤β+δ+μ & unstable if α>β+δ+μ, The basic reproduction number (threshold value) R<sub>0</sub> is the largest eigen value in spectral radius matrix ρ. Thus, eigen values of spectral radius Matrix ρ are determined from the roots of characteristic polynomial equation, det[ρ-λI]=0, Hence, the basic reproduction number is R<sub>0</sub>=α / β. It is shown that if reproduction number is less than one, then COVID-19 cases will be reduced in the community. However, if reproduction number is greater than one, then covid-19 continue to persist in the Community. Lastly, numerical simulations are done with DEDiscover 2.6.4. Software. It is observed that with Constant treatment, increase or decrease contact rate among persons leads great variation on the basic reproduction number which is directly implies that infection rate plays a vital role on decline or persistence of COVID-19 pandemic.
Highlights
Mathematical modeling is an important tool to understand and analyze real world problems, for instance modeling infectious disease transmission dynamics in human and animals
Middle East respiratory Syndrome (MERS) is beta Corona virus that Started at Saudi Arabian 2012
The total populations are divided in to four compartments:(i) Susceptible Compartment denoted by consists persons which are capable of becoming infected (ii) Infected compartment denoted by consists of persons which are infected with COVID-19 and are infectious (iii) Treatment compartment denoted by consists of persons being treated and (iv) Recovered compartment denoted by consists of recovered persons from COVID-19
Summary
Mathematical modeling is an important tool to understand and analyze real world problems, for instance modeling infectious disease transmission dynamics in human and animals. You can relieve your symptoms if you: (i) rest and sleep, (ii) keep warm, (iii) drink plenty of liquids, and (iv) use a room humidifier or take a hot shower to help eases sore throat and cough [6, 7, 16] Most people infected with the COVID-19 virus will experience mild to moderate respiratory illness and recover without requiring special treatment. Older people, and those with underlying medical problems are more likely to develop serious illness [7, 8, 16].
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