{"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":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"153 1","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studies in Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/sapm.12683","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","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。
期刊介绍：
Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.
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