Open Access
ARTICLE
Modelling the Effect of Self-Immunity and the Impacts of Asymptomatic and Symptomatic Individuals on COVID-19 Outbreak
M. H. A. Biswas1,*, M. A. Islam1, S. Akter2, S. Mandal2, M. S. Khatun1, S. A. Samad1, A. K. Paul1, M. R. Khatun1
1 Mathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna, 9208, Bangladesh
2 Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, 8100, Bangladesh
* Corresponding Author: M. H. A. Biswas. Email:
(This article belongs to this Special Issue: Computer Modelling of Transmission, Spread, Control and Diagnosis of COVID-19)
Computer Modeling in Engineering & Sciences 2020, 125(3), 1033-1060. https://doi.org/10.32604/cmes.2020.012792
Received 12 July 2020; Accepted 16 November 2020; Issue published 15 December 2020
Abstract
COVID-19 is one of the most highly infectious diseases ever emerged
and caused by newly discovered severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). It has already led the entire world to health and
economic crisis. It has invaded the whole universe all most every way. The
present study demonstrates with a nine mutually exclusive compartmental
model on transmission dynamics of this pandemic disease (COVID-19), with
special focus on the transmissibility of symptomatic and asymptomatic infection from susceptible individuals. Herein, the compartmental model has been
investigated with mathematical analysis and computer simulations in order to
understand the dynamics of COVID-19 transmission. Initially, mathematical
analysis of the model has been carried out in broadly by illustrating some
well-known methods including exactness, equilibrium and stability analysis
in terms of basic reproduction number. We investigate the sensitivity of the
model with respect to the variation of the parameters’ values. Furthermore,
computer simulations are performed to illustrate the results. Our analysis
reveals that the death rate from coronavirus disease increases as the infection
rate increases, whereas infection rate extensively decreases with the increase
of quarantined individuals. The quarantined individuals also lead to increase
the concentration of recovered individuals. However, the infection rate of
COVID-19 increases more surprisingly as the rate of asymptomatic individuals increases than that of the symptomatic individuals.Moreover, the infection
rate decreases significantly due to increase of self-immunity rate.
Keywords
Cite This Article
Biswas, M. H. A., Islam, M. A., Akter, S., Mandal, S., Khatun, M. S. et al. (2020). Modelling the Effect of Self-Immunity and the Impacts of Asymptomatic and Symptomatic Individuals on COVID-19 Outbreak.
CMES-Computer Modeling in Engineering & Sciences, 125(3), 1033–1060.
Citations