Numerical solution of COVID-19 pandemic model via finite difference and meshless techniques.
Eng Anal Bound Elem
; 2022 Nov 28.
Article
in English
| MEDLINE | ID: covidwho-2246672
ABSTRACT
In the present paper, a reaction-diffusion epidemic mathematical model is proposed for the analysis of the transmission mechanism of the novel coronavirus disease 2019 (COVID-19). The mathematical model contains six-time and space-dependent classes, namely; Susceptible, Exposed, Asymptomatically infected, Symptomatic infected, Quarantine, and Recovered or Removed (SEQIaIsR). The threshold number R0 is calculated by utilizing the next-generation matrix approach. Values of the parameters are estimated with the help of the least square curve fitting tools. In addition to the simple explicit procedure, the mathematical epidemiological model with diffusion is simulated through the operator splitting approach based on finite difference and meshless methods. Stability analysis of the disease free and endemic equilibrium points of the model is investigated. Simulation results of the model with and without diffusion are presented in detail. A comparison of the obtained numerical results of both the models is performed in the absence of an exact solution. The correctness of the solution is verified through mutual comparison and partly, via theoretical analysis as well.
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Collection:
International databases
Database:
MEDLINE
Language:
English
Year:
2022
Document Type:
Article
Affiliation country:
J.enganabound.2022.11.026
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