 Threshold dynamics of an age-structured infectious disease model with limited medical resourcesJin Yang, Zhuo Chen, Yuanshun Tan, Zijian Liu and Robert A. Cheke Mathematics and Computers in Simulation (MATCOM), 2023, vol. 214, issue C, 114-132 Abstract: In this paper, an age-structured infectious disease dynamical model that considers two diseases simultaneously but with limited medical resources is proposed and analyzed. 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 ℜ0>1. By using a Lyapunov function, it is shown that the infection-free equilibrium is globally asymptotically stable if ℜ0<1 and the infection equilibrium is globally asymptotically stable if ℜ0>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. Keywords: Age-structured model; Limited medical resources; Global stability; Lyapunov function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:214:y:2023:i:c:p:114-132 DOI: 10.1016/j.matcom.2023.07.003 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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