{"title":"Effect of Delay in a Musca Domestica Houseflies Model: Stability and Global Hopf Bifurcation","authors":"Xin Zhang, Renxiang Shi","doi":"10.1142/s0218339024500281","DOIUrl":null,"url":null,"abstract":". The houseflies model with discrete delay is studied in both theoretical and numerical ways. The solution of the delayed system is positive and bounded. Choosing the delay as the bifurcation parameter, stability analysis for the positive equilibrium of the delayed model, local and global Hopf bifurcation are given in theoretical aspect. Dynamical behaviors such as supercritical Hopf bifurcation is detected by computer simulations. The theoretical analysis and numerical observations in this work are interesting in biomathematics research area.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":"29 4","pages":""},"PeriodicalIF":17.7000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1142/s0218339024500281","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
. The houseflies model with discrete delay is studied in both theoretical and numerical ways. The solution of the delayed system is positive and bounded. Choosing the delay as the bifurcation parameter, stability analysis for the positive equilibrium of the delayed model, local and global Hopf bifurcation are given in theoretical aspect. Dynamical behaviors such as supercritical Hopf bifurcation is detected by computer simulations. The theoretical analysis and numerical observations in this work are interesting in biomathematics research area.
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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