Detectable sensation of a stochastic smoking model

Open Mathematics

Zeb Anwar¹  Alzahrani Abdullah² 

[1] Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Khyber Pakhtunkhwa, 22060, Pakistan;Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;

关键词: stochastic smoking model;    itô’s formula;    extinction;    persistence;    numerical analysis;    37h30;    26a18;    28dxx;    34cxx;   

DOI  :  10.1515/math-2020-0068

来源: DOAJ

【 摘 要 】

This paper is related to the stochastic smoking model for the purpose of creating the effects of smoking that are not observed in deterministic form. First, formulation of the stochastic model is presented. Then the sufficient conditions for extinction and persistence are determined. Furthermore, the threshold of the proposed stochastic model is discussed, when noises are small or large. Finally, the numerical simulations are shown graphically with the software MATLAB.

【 授权许可】

Unknown