Perceptive movement of susceptible individuals with memory.
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.
Keywords
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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