{"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":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Biological Systems","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1142/s0218339024500281","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"BIOLOGY","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：
The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to):
Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine.
Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology.
Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales.
Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis.
Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology.
Numerical simulations and computations; numerical study and analysis of biological data.
Epistemology; history of science.
The journal will also publish book reviews.
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