A Simulation-Based Analysis of Model for Coronavirus Disease Using Nonstandard Finite Difference Scheme
DOI:
https://doi.org/10.62054/ijdm/0204.02Abstract
Infectious diseases such as MERS, SARS, AIDS, COVID-19, and polio have completely decimated the social and economic structure of the global population. The COVID-19 is an infectious disease that spreads rapidly all around the world. In the present article, the novel COVID-19 mathematical model containing the resistive class together with the class of quarantine is offered and examined. The analysis of disease-free and endemic equilibria stability focuses on the basic reproductive number, which is examined in detail. The non-standard finite difference (NSFD) scheme is established which conserves important characteristics of the continuous model and provides precise results for all finite step sizes. It is shown that NSFD is unconditionally convergent, solutions remain positive and produces better outcomes in all respect. To demonstrate the local and global stability of the equilibria for the NSFD scheme, multiple existing criteria from the literature are used. To sustenance the theoretical discoveries and illustrate the compensations of NSFD scheme, numerical simulations are also conducted. Numerical simulations indicate that NSFD scheme maintains the key aspects of the continuous model. The data which is provided in this paper can be utilized to monitor the spread of the transmissible COVID-19 disease.
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