{"title":"肿瘤被免疫系统攻击的数学模型","authors":"Li Lin, Z. Jian","doi":"10.1109/ICBBE.2008.245","DOIUrl":null,"url":null,"abstract":"A mathematical model with a time delay of tumors attacked by the immune system is studied. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibra, and global stability are analyzed. The conditions under which the equilibrium is globally stable are given and the criteria for existence of bifurcation will be shown.","PeriodicalId":6399,"journal":{"name":"2008 2nd International Conference on Bioinformatics and Biomedical Engineering","volume":"45 1","pages":"1000-1004"},"PeriodicalIF":0.0000,"publicationDate":"2008-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Mathematical Model of Tumors Attacked by the Immune System\",\"authors\":\"Li Lin, Z. Jian\",\"doi\":\"10.1109/ICBBE.2008.245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mathematical model with a time delay of tumors attacked by the immune system is studied. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibra, and global stability are analyzed. The conditions under which the equilibrium is globally stable are given and the criteria for existence of bifurcation will be shown.\",\"PeriodicalId\":6399,\"journal\":{\"name\":\"2008 2nd International Conference on Bioinformatics and Biomedical Engineering\",\"volume\":\"45 1\",\"pages\":\"1000-1004\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 2nd International Conference on Bioinformatics and Biomedical Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICBBE.2008.245\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 2nd International Conference on Bioinformatics and Biomedical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICBBE.2008.245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Mathematical Model of Tumors Attacked by the Immune System
A mathematical model with a time delay of tumors attacked by the immune system is studied. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibra, and global stability are analyzed. The conditions under which the equilibrium is globally stable are given and the criteria for existence of bifurcation will be shown.
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