{"title":"具有加性Allee效应的捕食-食饵系统的稳定性、分岔及混沌控制","authors":"R. Ahmed, S. Akhtar, U. Farooq, S. Ali","doi":"10.28919/cmbn/7824","DOIUrl":null,"url":null,"abstract":". The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect\",\"authors\":\"R. Ahmed, S. Akhtar, U. Farooq, S. Ali\",\"doi\":\"10.28919/cmbn/7824\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically\",\"PeriodicalId\":44079,\"journal\":{\"name\":\"Communications in Mathematical Biology and Neuroscience\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Biology and Neuroscience\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/cmbn/7824\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/7824","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect
. The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically
期刊介绍:
Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.