Yang, Jin, Chen, Zhou, Tan, Yuanshan, Liu, Zijian and Cheke, Robert ORCID: 0000-0002-7437-1934 (2023) Threshold dynamics of an age-structured infectious disease model with limited medical resources. Mathematics and Computers in Simulation, 214. pp. 114-132. ISSN 0378-4754 (doi:https://doi.org/10.1016/j.matcom.2023.07.003)

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Abstract

In this paper, an age-structured infectious disease dynamical model that considers two diseases simultaneously but with limited medical resources is proposed and analysed. The asymptotic smoothness and persistence of the solution semi-flow are investigated. Then conditions for the existence of a global attractor are derived, which means that disease persists when <0 > 1. By using a Lyapunov function, it is shown that the infection-free equilibrium is globally asymptotically stable if <0 < 1 and the infection equilibrium is globally asymptotically stable if <0 > 1. In the presence of limited medical resources, the results suggest that equitable distribution for the limited medical resources is significant when treating low-risk and high-risk diseases and that keeping a resource sharing coefficient at a moderate level helps to eliminate the disease.

Item Type:	Article
Uncontrolled Keywords:	age-structured model; limited medical resources; global stability; Lyapunov function
Subjects:	Q Science > QA Mathematics R Medicine > RA Public aspects of medicine S Agriculture > S Agriculture (General)
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:	26 Jul 2023 08:46
URI:	http://gala.gre.ac.uk/id/eprint/43182

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