Numerical analysis of diffusive susceptible-infected-recovered epidemic model in three space dimension

Nauman Ahmed, Mubasher Ali, Dumitru Baleanu, Muhammad Rafiq and Muhammad Aziz ur Rehman

Chaos, Solitons & Fractals, 2020, vol. 132, issue C

Abstract: In this article, numerical solution of three dimensional susceptible-infected-recovered (SIR) reaction-diffusion epidemic system is furnished with a time efficient operator splitting nonstandard finite difference (OS-NSFD) method. We perform the comparison of proposed OS-NSFD method with popular forward Euler explicit finite difference (FD) method and time efficient backward Euler operator splitting finite difference (OS-FD) implicit method. The proposed OS-NSFD method is implicit in nature but computationally efficient as compared to forward Euler explicit (FD) scheme. The numerical stability and bifurcation value of transmission coefficient for SIR reaction-diffusion epidemic system is also investigated with the aid of Routh–Hurwitz method. At the end, we give two numerical experiments and simulation. In first experiment, all the numerical schemes are compared with the help of simulations. In second experiment we show the simulations of proposed NSFD technique at different values of parameters. Also we discuss the importance of transmission rate to control the spread of disease with the help of simulations.

Keywords: Operator splitting methods; Nonstandard finite difference schemes; Positivity; SIR epidemic model; Numerical stability; Bifurcation value (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919304862

DOI: 10.1016/j.chaos.2019.109535

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