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- Title
Dynamics of an almost periodic epidemic model with non-local infections and latency in a patchy environment.
- Authors
Wang, Bin-Guo; Zhang, Jiangqian
- Abstract
Based on the assumptions that an infectious disease in a population has a fixed latent period and the latent individuals of population may disperse, combined with seasonal factors, an almost periodic $ SIR $ model with non-local infections and latency in a patchy environment is investigated. Draw support from the idea of the next generation operator, the definition of the basic reproduction number $ R_0 $ is given. Furthermore, the global dynamical theory of the model is studied using the basic regeneration number $ R_0 $ as a threshold parameter. It is shown that the disease will die out in the sense that the disease-free almost periodic solution of the model is globally attractive if $ R_0 <1 $, while the disease is uniformly persistent when $ R_0>1 $. Finally, this paper numerically simulates the model in a two patch environment, and verifies the propagation mechanism of the almost periodic infectious disease model. Moreover, Some numerical simulations indicate that population distribution between patches has a significant impact on the spread of diseases and show that the periodic epidemic models may overestimate or underestimate the disease risk comparing with the almost periodic model.
- Subjects
BASIC reproduction number; EPIDEMICS; COMMUNICABLE diseases; INFECTIOUS disease transmission; FAMILIAL Mediterranean fever
- Publication
Discrete & Continuous Dynamical Systems - Series B, 2024, Vol 29, Issue 8, p1
- ISSN
1531-3492
- Publication type
Article
- DOI
10.3934/dcdsb.2024008