2023
DOI: 10.1007/s00033-023-02002-z
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Dynamics of a diffusion epidemic SIRI system in heterogeneous environment

Abstract: This paper studies the dynamical behaviors of a diffusion epidemic SIRI system with distinct dispersal rates. The overall solution of the system is derived by using theory and the Young’s inequality. The uniformly boundedness of the solution is obtained for the system. The asymptotic smoothness of the semi-flow and the existence of the global attractor are discussed. Moreover, the basic reproduction number is defined in a spatially uniform environment and the threshold dynamical behaviors are obtai… Show more

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Cited by 9 publications
(1 citation statement)
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“…The local government makes some improvements and modifications to extend emergency evacuation functions on public open spaces (e.g., parks and squares). In the event of a disaster, these improved facilities can supply temporary resettlement and fundamental medical services for injuries (Li et al, 2023).…”
Section: Datamentioning
confidence: 99%
“…The local government makes some improvements and modifications to extend emergency evacuation functions on public open spaces (e.g., parks and squares). In the event of a disaster, these improved facilities can supply temporary resettlement and fundamental medical services for injuries (Li et al, 2023).…”
Section: Datamentioning
confidence: 99%