{"title":"媒介覆盖流行病模型中的模式形成","authors":"Ronobir Chandra Sarker, Saroj Kumar Sahani","doi":"10.1007/s12591-022-00595-x","DOIUrl":null,"url":null,"abstract":"<p><p>In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there are some typical dynamics of population density such as the formation of the hole, stripe, spot, coexistence of hole and stripe or spot and stripe. The obtained results exhibit that parameters describing media coverage have a significant influence on the spatial pattern of the disease. More specifically, the sequential change in behaviour of the spatial pattern is observed as the parameter that accounts for media coverage increases. These changes analogous to the effect due to the rise in the basic reproduction number. The results presented in this article thus can be applied to any particular disease with some modification to study the effects of media coverage on disease dynamics. The model is although simple but the idea can be well extended to other complex problems.</p>","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"1 1","pages":"1-14"},"PeriodicalIF":0.8000,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8857639/pdf/","citationCount":"0","resultStr":"{\"title\":\"Pattern Formation in Epidemic Model with Media Coverage.\",\"authors\":\"Ronobir Chandra Sarker, Saroj Kumar Sahani\",\"doi\":\"10.1007/s12591-022-00595-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there are some typical dynamics of population density such as the formation of the hole, stripe, spot, coexistence of hole and stripe or spot and stripe. The obtained results exhibit that parameters describing media coverage have a significant influence on the spatial pattern of the disease. More specifically, the sequential change in behaviour of the spatial pattern is observed as the parameter that accounts for media coverage increases. These changes analogous to the effect due to the rise in the basic reproduction number. The results presented in this article thus can be applied to any particular disease with some modification to study the effects of media coverage on disease dynamics. The model is although simple but the idea can be well extended to other complex problems.</p>\",\"PeriodicalId\":45352,\"journal\":{\"name\":\"Differential Equations and Dynamical Systems\",\"volume\":\"1 1\",\"pages\":\"1-14\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2022-02-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8857639/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Dynamical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s12591-022-00595-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s12591-022-00595-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Pattern Formation in Epidemic Model with Media Coverage.
In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there are some typical dynamics of population density such as the formation of the hole, stripe, spot, coexistence of hole and stripe or spot and stripe. The obtained results exhibit that parameters describing media coverage have a significant influence on the spatial pattern of the disease. More specifically, the sequential change in behaviour of the spatial pattern is observed as the parameter that accounts for media coverage increases. These changes analogous to the effect due to the rise in the basic reproduction number. The results presented in this article thus can be applied to any particular disease with some modification to study the effects of media coverage on disease dynamics. The model is although simple but the idea can be well extended to other complex problems.
期刊介绍：
Aims and Scope Differential Equations and Dynamical Systems is a multidisciplinary journal whose aim is to publish high quality original research papers in Ordinary and Partial Differential Equations, Integral and Integro-Differential Equations, Calculus of Variations, Bifurcation Theory and Dynamical Systems Theory. Articles devoted to the application of methods and techniques from the above fields of Analysis to Neural Networks, Control Theory; Physical, Biological, Medical, Social and Engineering Sciences are also welcome.In particular, for studies related to modelling aspects in all the above areas, it is essential that the mathematical results be interpreted and translated to the application domains by substantiating the usefulness of the research in solving problems in those realms. Papers dealing with computational and numerical aspects will not be considered for publication unless supported by strong theoretical results and analyses. MissionThe mission of the journal envisages to serve scientists through prompt publication of significant advances in the branches of science and technology beforehand outlined and to provide a forum for the discussion of new scientific developments.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
