NUMERICAL MODELING OF A NOVEL STOCHASTIC CORONAVIRUS

Yu-Ming Chu (), Zain Ul Abadin Zafar (), Mustafa Inc, Shumaila Javeed and Abu Safyan Ali ()
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Yu-Ming Chu: Department of Mathematics, College of Science, Huzhou University, Huzhou 313000, P. R. China
Zain Ul Abadin Zafar: Department of Mathematics, Faculty of Science and Technology, University of Central Punjab, Lahore, Pakistan
Mustafa Inc: Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkiye4Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Shumaila Javeed: ��Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Pakistan‡Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, 99138, Nicosia/Mersin 10 – Turkey
Abu Safyan Ali: ��Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-27

Abstract: The aim is to study the dynamics of Coronavirus model using stochastic methods. Threshold parameter R0 is obtained for the model. Afterwards, both the disease-free equilibrium (DFE) and endemic equilibrium (EE) points are acquired and the stability of the model is discussed. Both the equilibrium points are locally asymptotically stable. Euler–Maruyama, stochastic Euler scheme (SES), stochastic fourth-order Runge–Kutta scheme (SRKS) and stochastic non-standard finite difference technique (SNFDT) are applied to solve the model equations. Euler–Maruyama, SES, SRKS fail for large time step size, while, SNFDT preserves the dynamics of the proposed model for any step size. Numerical comparison of applied methods is provided using different step sizes.

Keywords: Coronavirus Epidemic Model; Threshold Parameter R0; Positivity; EMT; SET; SRK Scheme; SNFD Technique; Stability Analysis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0218348X22402113

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