Stochastic suicide substrate reaction model

Zain Ul Abadin Zafar, Mustafa Inc, Fairouz Tchier and Lanre Akinyemi

Physica A: Statistical Mechanics and its Applications, 2023, vol. 610, issue C

Abstract: Nowadays, numeric paradigms have great significance in every field especially for solving the NDEs, PDEs, biochemical reactions etc. Here, we represent a realistic suicide substrate reaction specimen which can be represented by a system with four equations for the concentrations of the numerous molecules as functions of time. We present a technique to attain exact, approximate elucidations using the stochastic theory. This systematic technique provides more realistic numeric elucidations than other techniques which have been offered. Unfortunately, the numeric techniques like Euler–Maruyama, stochastic Euler, and stochastic RK4 fail for large step sizes. Stochastic nonstandard finite difference technique (SNSFD) has been fabricated for the suicide substrate reaction specimen and numeric tests are executed for diverse values of discretization parameter ‘h’. The consequences are matched with a well-known numeric scheme.

Keywords: Stochastic suicide substrate (SSS) reaction model; Stochastic differential equations (SDEs); Stochastic NSFD scheme; Stochastic RK4 (SRK-4) scheme; Euler–Maruyama scheme (EMS); Stochastic Euler scheme (SES) (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:610:y:2023:i:c:s0378437122009426

DOI: 10.1016/j.physa.2022.128384

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