{"title":"On an SIS epidemic model with power-like nonlinear incidence and with/without cross-diffusion","authors":"Huicong Li, Tian Xiang","doi":"10.1111/sapm.12683","DOIUrl":null,"url":null,"abstract":"<p>We study global existence, boundedness, and convergence of nonnegative classical solutions to a Neumann initial-boundary value problem for the following possibly cross-diffusive SIS (susceptible–infected–susceptible) epidemic model with power-like infection mechanism generalizing the standard mass action incidence:\n\n </p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/sapm.12683","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 0
Abstract
We study global existence, boundedness, and convergence of nonnegative classical solutions to a Neumann initial-boundary value problem for the following possibly cross-diffusive SIS (susceptible–infected–susceptible) epidemic model with power-like infection mechanism generalizing the standard mass action incidence:
我们研究了以下可能交叉扩散的 SIS（易感-感染-易感）流行病模型的非负经典解的全局存在性、有界性和收敛性：在一个有界光滑域中，该模型的感染机制是对标准质量作用发生率的概括。形式为 with 的感染力是经典质量作用类型的自然扩展，而交叉扩散项 with 则描述了易感个体趋向于远离高密度感染人群的效应。我们确定了经典解在特定参数范围内的全局存在性和有界性，还探测到了全局有界解的阈值/月阈值长时行为。我们的发现极大地改进并扩展了之前的相关研究。
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