Dynamics of a diffusion epidemic SIRI system in heterogeneous environment
Zeitschrift fur Angewandte Mathematik und Physik, ISSN: 1420-9039, Vol: 74, Issue: 3, Page: 104
2023
- 10Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations10
- Citation Indexes10
- CrossRef10
Article Description
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 L 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 obtained for extinction or continuous persistence of disease. When the spread rate of the susceptible individuals or the infected individuals is close to zero, the asymptotic profiles of the system are studied. This can help us to better understand the dynamic characteristics of the model in a bounded space domain with zero flux boundary conditions.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85156257852&origin=inward; http://dx.doi.org/10.1007/s00033-023-02002-z; http://www.ncbi.nlm.nih.gov/pubmed/37153518; https://link.springer.com/10.1007/s00033-023-02002-z; https://dx.doi.org/10.1007/s00033-023-02002-z; https://link.springer.com/article/10.1007/s00033-023-02002-z
Springer Science and Business Media LLC
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