Detectable sensation of a stochastic smoking model-Reference-Cited by-同舟云学术

Detectable sensation of a stochastic smoking model

Published:2020-01-01 Issue:1 Volume:18 Page:1045-1055
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Alzahrani Abdullah¹,Zeb Anwar²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University , P. O. Box 80203 , Jeddah 21589 , Saudi Arabia

2. Department of Mathematics, COMSATS University Islamabad , Abbottabad Campus , Abbottabad , Khyber Pakhtunkhwa, 22060 , Pakistan

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0068/pdf

Reference35 articles.

1. E. A. Smith and R. E. Malone, “Everywhere the soldier will be”: wartime tobacco promotion in the US military, Am. J. Public Health 99 (2009), no. 9, 1595–1602, 10.2105/AJPH.2008.152983.

2. W. O. Kermack and A. G. McKendrick, Contributions to the mathematical theory of epidemics, part 1, Proc. Roy. Soc. Edin. Sec. A. Math. 115 (1927), 700–721.

3. B. Shulgin, L. Stone, and Z. Agur, Pulse vaccination strategy in the SIR epidemic model, Bull. Math. Biol. 60 (1998), 1123–1148.

4. G. Zaman, Y. H. Kang, and I. H. Jung, Stability analysis and optimal vaccination of an SIR epidemic model, BioSyst. 93 (2008), 240–249.

5. A. A. Lashari and G. Zaman, Global dynamics of vector-borne diseases with horizontal transmission in host population, Comp. Math. Appl. 61c (2011), 745–754.

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Modeling and analysis of Hepatitis B dynamics with vaccination and treatment with novel fractional derivative;PLOS ONE;2024-07-18

2. Mathematical modeling, analysis, and optimal control of the n+7 compartment smoking epidemic model;Communications in Mathematical Biology and Neuroscience;2023

3. A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo–Fabrizio Derivative;Journal of Applied Mathematics;2022-12-06

4. Fractional Stochastic Differential Equation Approach for Spreading of Diseases;Entropy;2022-05-17

5. Mathematical analysis of a fractional-order epidemic model with nonlinear incidence function;AIMS Mathematics;2022