A mathematical model approach for tobacco control in China

Liuyong Pang, Zhong Zhao, Sanhong Liu and Xinan Zhang

Applied Mathematics and Computation, 2015, vol. 259, issue C, 497-509

Abstract: 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.

Keywords: Controlling smoking; Saturated incidence rate; Global stability; Sensitivity analysis; Numerical simulations (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315002787
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:497-509

DOI: 10.1016/j.amc.2015.02.078

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().