Preprint Article Version 1 This version is not peer-reviewed

# COVID-19 Epidemic Compartments Model and Bangladesh

Version 1 : Received: 10 April 2020 / Approved: 12 April 2020 / Online: 12 April 2020 (14:21:13 CEST)
Version 2 : Received: 22 May 2020 / Approved: 23 May 2020 / Online: 23 May 2020 (10:47:33 CEST)

How to cite: Shahidul Islam, M.; Irana Ira, J.; Ariful Kabir, K.M.; Kamrujjaman, M. COVID-19 Epidemic Compartments Model and Bangladesh. Preprints 2020, 2020040193 (doi: 10.20944/preprints202004.0193.v1). Shahidul Islam, M.; Irana Ira, J.; Ariful Kabir, K.M.; Kamrujjaman, M. COVID-19 Epidemic Compartments Model and Bangladesh. Preprints 2020, 2020040193 (doi: 10.20944/preprints202004.0193.v1).

## Abstract

In the promptness of the COVID-19 outbreak, it would be very important to observe and estimate the pattern of diseases to reduce the contagious infection. To study this effect, we developed a COVID-19 epidemic model that incorporates five various groups of individuals. Then we analyze the model by evaluating the equilibrium points and analyzing their stability as well as determining the basic reproduction number. Also, numerical simulations show the dynamics of a different group of the population over time. Thus, our findings based on the sensitivity analysis and the reproduction number highlight the role of outbreak of the virus that can be useful to avoid a massive collapse in Bangladesh and rest of the world. The outcome of this study concludes that outbreak will be in control which ensure the social and economic stability.

## Subject Areas

coronavirus; epidemic model; global pandemic; COVID-19; SEII$_s$R model; sensitivity analysis

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