A mathematical model approach for tobacco control in China

作者：Pang, Liuyong^*; Zhao, Zhong; Liu, Sanhong; Zhang, Xinan

来源：Applied Mathematics and Computation, 2015, 259: 497-509.

DOI：10.1016/j.amc.2015.02.078

• Controlling smoking
• Saturated incidence rate
• Global stability
• Sensitivity analysis
• Numerical simulations

As a tobacco victimized country in the world, China is being burdened by smoking-related illnesses. This paper concentrates on the problem of controlling smoking in China. We propose a mathematical model described by ordinary differential equations with a saturated incidence rate to explore the effect of controlling smoking by setting up designed smoking areas and raising the price of cigarettes. The sufficient criteria for the local and global stabilities of the equilibria are obtained. Furthermore, a sensitivity analysis is performed to gain insight into which factors are the most important in controlling smoking. Lastly, we carry out numerical simulations to illustrate and verify the analytic conclusions, and provide a control measure.

• 出版日期2015-5-15
• 单位华中师范大学; 黄淮学院