{"title":"The Periodic Solutions of Impulsive Competition System on Tumor-Normal Cell Interaction","authors":"Jiawei Dou, Weiming Zheng","doi":"10.1109/ICBBE.2010.5516323","DOIUrl":null,"url":null,"abstract":"In this work we investigate a problem of existence of positive periodic solutions for a class of impulsive differential equations in the plane. This describes generally the competition between normal and tumor cells in a periodically changing environment under chemotherapeutic treatment. The mathematical problem involves a coupled system of Lotka-Volterra together with periodically pulsed conditions. We use the monotone method to construct the upper and lower sequences converging to the periodic solution of the system.","PeriodicalId":6396,"journal":{"name":"2010 4th International Conference on Bioinformatics and Biomedical Engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 4th International Conference on Bioinformatics and Biomedical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICBBE.2010.5516323","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this work we investigate a problem of existence of positive periodic solutions for a class of impulsive differential equations in the plane. This describes generally the competition between normal and tumor cells in a periodically changing environment under chemotherapeutic treatment. The mathematical problem involves a coupled system of Lotka-Volterra together with periodically pulsed conditions. We use the monotone method to construct the upper and lower sequences converging to the periodic solution of the system.