Effects of Media Coverage on Global Stability Analysis and Optimal Control of an Age-Structured Epidemic Model with Multi-Staged Progression

Chao Liu, Peng Chen, Qiyu Jia and Lora Cheung
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Chao Liu: Institute of Systems Science, Northeastern University, Shenyang 110169, China
Peng Chen: Institute of Systems Science, Northeastern University, Shenyang 110169, China
Qiyu Jia: Sydney Smart Technology College, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
Lora Cheung: Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, Canada

Mathematics, 2022, vol. 10, issue 15, 1-28

Abstract: In this paper, a hybrid SEIAM model for infectious disease with a continuous age structure is established, where combined dynamic effects of media coverage and multi-staged infected progression on threshold dynamics are discussed. Sufficient conditions for uniform persistence of the solution are studied by using the basic reproduction number. By constructing appropriate Lyapunov functions, the global stability analysis of endemic equilibrium is investigated based on Lyapunov–LaSalle’s stability theorem. In order to minimize costs incurred due to applied controls and infectious disease burden, an optimal cost-effective control strategy associated with disease treatment and media coverage is discussed. Numerical simulations are carried out to show consistency with theoretical analysis.

Keywords: media coverage; multi-staged infected progression; uniform persistence; global stability analysis; optimal control strategy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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