{"title":"具有修正饱和发病率和Holling II型治疗函数的SEIR模型","authors":"Shilpa Umdekar, P. Sharma, Shivram Sharma","doi":"10.1515/cmb-2022-0146","DOIUrl":null,"url":null,"abstract":"Abstract In this article, the behavior of an susceptible exposed infected recovered (SEIR) epidemic model with nonlinear incidence rate and Holling type II treatment function is presented and analyzed. Reproduction number of the model is calculated. Equilibrium points are determined. Disease-free equilibrium exists when R0 is below 1. Behavior of disease-free equilibrium is examined at R0 = 1. Endemic equilibrium exists when R0 crosses 1. Stability of both equilibrium points is investigated locally and globally. Simulation is provided to support the result.","PeriodicalId":34018,"journal":{"name":"Computational and Mathematical Biophysics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An SEIR model with modified saturated incidence rate and Holling type II treatment function\",\"authors\":\"Shilpa Umdekar, P. Sharma, Shivram Sharma\",\"doi\":\"10.1515/cmb-2022-0146\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this article, the behavior of an susceptible exposed infected recovered (SEIR) epidemic model with nonlinear incidence rate and Holling type II treatment function is presented and analyzed. Reproduction number of the model is calculated. Equilibrium points are determined. Disease-free equilibrium exists when R0 is below 1. Behavior of disease-free equilibrium is examined at R0 = 1. Endemic equilibrium exists when R0 crosses 1. Stability of both equilibrium points is investigated locally and globally. Simulation is provided to support the result.\",\"PeriodicalId\":34018,\"journal\":{\"name\":\"Computational and Mathematical Biophysics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational and Mathematical Biophysics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/cmb-2022-0146\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational and Mathematical Biophysics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/cmb-2022-0146","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
An SEIR model with modified saturated incidence rate and Holling type II treatment function
Abstract In this article, the behavior of an susceptible exposed infected recovered (SEIR) epidemic model with nonlinear incidence rate and Holling type II treatment function is presented and analyzed. Reproduction number of the model is calculated. Equilibrium points are determined. Disease-free equilibrium exists when R0 is below 1. Behavior of disease-free equilibrium is examined at R0 = 1. Endemic equilibrium exists when R0 crosses 1. Stability of both equilibrium points is investigated locally and globally. Simulation is provided to support the result.
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