 Spatial dynamics of an epidemic model with nonlocal infectionZun-Guang Guo, Gui-Quan Sun, Zhen Wang, Zhen Jin, Li Li and Can Li Applied Mathematics and Computation, 2020, vol. 377, issue C Abstract: Nonlocal infection plays an important role in epidemic spread, which can reflect the real rules of infectious disease. To understand its mechanism on disease transmission, we construct an epidemic model with nonlocal delay and logistic growth. The Turing space for the emergence of stationary pattern is determined by series of inequations by mathematical analysis. Moreover, we use the multi-scale analysis to derive the amplitude equation, and obtain rich pattern structures by controlling the variation of the delay parameter. As the increase of delay parameter, the degree of pattern isolation increase as well as the density of the infected population decrease which prohibits the propagation of the disease in space. The results systematically reveal the impact of nonlocal delay on the spread of infectious diseases and provide some new theoretical supports for controlling the spread of infectious diseases. Keywords: Nonlocal delay; Disease transmission; Turing pattern; Multi-scale analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301272 DOI: 10.1016/j.amc.2020.125158 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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