{"title":"一类具有非线性发病率和治疗回归的SIR流行病模型的动力学研究","authors":"S. Majeed","doi":"10.30526/2017.IHSCICONF.1810","DOIUrl":null,"url":null,"abstract":"In this research, dynamical study of an SIR epidemical model with nonlinear direct incidence rate (Beddington-De Angelis ) type, and regress of treatment investigated .An analytical study to the model shows that there are two equilibrium points appear, the discussed successfully with sufficient condition, the existence of local bifurcation and Hopf bifurcation was analyzed, finally numerical simulations are done to explain the analytic studies.","PeriodicalId":13236,"journal":{"name":"Ibn Al-Haitham Journal For Pure And Applied Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment\",\"authors\":\"S. Majeed\",\"doi\":\"10.30526/2017.IHSCICONF.1810\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research, dynamical study of an SIR epidemical model with nonlinear direct incidence rate (Beddington-De Angelis ) type, and regress of treatment investigated .An analytical study to the model shows that there are two equilibrium points appear, the discussed successfully with sufficient condition, the existence of local bifurcation and Hopf bifurcation was analyzed, finally numerical simulations are done to explain the analytic studies.\",\"PeriodicalId\":13236,\"journal\":{\"name\":\"Ibn Al-Haitham Journal For Pure And Applied Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ibn Al-Haitham Journal For Pure And Applied Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30526/2017.IHSCICONF.1810\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ibn Al-Haitham Journal For Pure And Applied Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30526/2017.IHSCICONF.1810","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment
In this research, dynamical study of an SIR epidemical model with nonlinear direct incidence rate (Beddington-De Angelis ) type, and regress of treatment investigated .An analytical study to the model shows that there are two equilibrium points appear, the discussed successfully with sufficient condition, the existence of local bifurcation and Hopf bifurcation was analyzed, finally numerical simulations are done to explain the analytic studies.
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