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Global stability of an age-structured model of smoking and its treatment

Global stability of an age-structured model of smoking and its treatment

Tan, Yuan-Shun, Li, Xiao-Xu, Yang, Jing and Cheke, Robert ORCID: 0000-0002-7437-1934 (2022) Global stability of an age-structured model of smoking and its treatment. International Journal of Biomathematics. ISSN 1793-5245 (Print), 1793-7159 (Online) (In Press) (doi:https://doi.org/10.1142/S1793524522500632)

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Abstract

Smoking is a serious global public health problem. Its serious consequences arose from smoking and the ability to quit it are closely related to age. Personal determination and education level usually play important roles in quitting smoking. In order to capture such characteristics, we developed a novel age-structured smoking dynamical model. By defining the smoking generation number R0, the local stability, global stability of the boundary equilibrium and endemic equilibrium are obtained using Lyapunov functions. The uniform persistence, as well as the well-posedness and asymptotic smoothness of the solutions are also studied. Sensitivity analyses show that the lower the age of onset of smoking and the higher the determination to stop, the greater the likelihood of quitting smoking and numerical studies support the theoretical results.

Item Type: Article
Uncontrolled Keywords: smoking; age-structured model; stability; Lyapunov function
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
R Medicine > RA Public aspects of medicine > RA0421 Public health. Hygiene. Preventive Medicine
Faculty / School / Research Centre / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Natural Resources Institute
Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Last Modified: 11 May 2022 10:18
URI: http://gala.gre.ac.uk/id/eprint/36133

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