{"title":"A hyperbolic reaction–diffusion model of chronic wasting disease","authors":"Elvira Barbera, Annamaria Pollino","doi":"10.1007/s11587-023-00831-8","DOIUrl":null,"url":null,"abstract":"<p>A hyperbolic reaction–diffusion model is developed in the framework of Extended Thermodynamics in order to describe the spatio-temporal dynamics of populations afflicted by chronic wasting diseases. The hyperbolic structure of the system guarantees that the wave processes occur at finite velocity, so that the paradox of instantaneous diffusion, typical of parabolic systems, is removed. The character of steady states, together with the Hopf bifurcation, are investigated through linear stability analysis. The model is integrated numerically to valuate the behavior of the populations. Finally, the propagation of acceleration waves is analyzed.\n</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11587-023-00831-8","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
A hyperbolic reaction–diffusion model is developed in the framework of Extended Thermodynamics in order to describe the spatio-temporal dynamics of populations afflicted by chronic wasting diseases. The hyperbolic structure of the system guarantees that the wave processes occur at finite velocity, so that the paradox of instantaneous diffusion, typical of parabolic systems, is removed. The character of steady states, together with the Hopf bifurcation, are investigated through linear stability analysis. The model is integrated numerically to valuate the behavior of the populations. Finally, the propagation of acceleration waves is analyzed.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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