Impact of Regional Difference in Recovery Rate on the Total Population of Infected for a Diffusive SIS Model
| Autor: | Kousuke Kuto, Jumpei Inoue |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Resource (biology)
General Mathematics media_common.quotation_subject the reproduction number endemic equilibrium Total population 01 natural sciences Recovery rate bessel functions SIS models Statistics QA1-939 Computer Science (miscellaneous) 0101 mathematics Logistic function diffusive logistic equation Infected population Engineering (miscellaneous) media_common Mathematics radial solutions 010102 general mathematics spatial heterogeneity Spatial heterogeneity 010101 applied mathematics reaction–diffusion systems the sub-super solution method Reproduction |
| Zdroj: | Mathematics Volume 9 Issue 8 Mathematics, Vol 9, Iss 888, p 888 (2021) |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math9080888 |
| Popis: | This paper is concerned with an SIS epidemic reaction-diffusion model. The purpose of this paper is to derive some effects of the spatial heterogeneity of the recovery rate on the total population of infected and the reproduction number. The proof is based on an application of our previous result on the unboundedness of the ratio of the species to the resource for a diffusive logistic equation. Our pure mathematical result can be epidemically interpreted as that a regional difference in the recovery rate can make the infected population grow in the case when the reproduction number is slightly larger than one. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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