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Perceptive movement of susceptible individuals with memory.
Zhang, Hua; Wang, Hao; Wei, Junjie.
  • Zhang H; Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, Shandong, People's Republic of China.
  • Wang H; Interdisciplinary Lab for Mathematical Ecology and Epidemiology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada.
  • Wei J; Interdisciplinary Lab for Mathematical Ecology and Epidemiology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada. hao8@ualberta.ca.
J Math Biol ; 86(5): 65, 2023 03 30.
Article in English | MEDLINE | ID: covidwho-2311810
ABSTRACT
The perception of susceptible individuals naturally lowers the transmission probability of an infectious disease but has been often ignored. In this paper, we formulate and analyze a diffusive SIS epidemic model with memory-based perceptive movement, where the perceptive movement describes a strategy for susceptible individuals to escape from infections. We prove the global existence and boundedness of a classical solution in an n-dimensional bounded smooth domain. We show the threshold-type dynamics in terms of the basic reproduction number [Formula see text] when [Formula see text], the unique disease-free equilibrium is globally asymptotically stable; when [Formula see text], there is a unique constant endemic equilibrium, and the model is uniformly persistent. Numerical analysis exhibits that when [Formula see text], solutions converge to the endemic equilibrium for slow memory-based movement and they converge to a stable periodic solution when memory-based movement is fast. Our results imply that the memory-based movement cannot determine the extinction or persistence of infectious disease, but it can change the persistence manner.
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Full text: Available Collection: International databases Database: MEDLINE Main subject: Communicable Diseases / Epidemics Type of study: Observational study Limits: Humans Language: English Journal: J Math Biol Year: 2023 Document Type: Article

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Full text: Available Collection: International databases Database: MEDLINE Main subject: Communicable Diseases / Epidemics Type of study: Observational study Limits: Humans Language: English Journal: J Math Biol Year: 2023 Document Type: Article