Global Aspects of Age-Structured Cigarette Smoking Model

被引：1
|
作者：
Anwar Zeb
Sultan Hussain
Obaid J. Algahtani
Gul Zaman
机构：
[1] COMSATS Institute of Information Technology,Department of Mathematics
[2] King Saud University,Department of Mathematics, Science College
[3] University of Malakand,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2018年 / 15卷
关键词：
Age-structured smoking model; equilibrium points; stability analysis; Lyapunov function; non-standard finite difference (NSFD) scheme; 92D25; 49J15; 93D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Smoking impacts health and as a result creates several problems related to age which means smoking has a strong correlation with age. Keeping this problem in view, we consider the global asymptotic properties of age-structured smoking model. First, we formulate the model and present the existence and uniqueness of solution. Then we discuss the equilibrium points and construct the Lyapunov function to examine global stability of the free smoking and positive smoking equilibrium points. Finally, we fixed the age factor and use the non-standard finite difference (NSFD) scheme for numerical solutions and compare our results obtained with RK4 and ODE45 graphically with the help of MATLAB.
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