{"title":"肿瘤1期延迟免疫肿瘤模型的稳定性研究","authors":"A. Devi, Aditya Ghosh","doi":"10.0000/IJAMC.2013.5.1.586","DOIUrl":null,"url":null,"abstract":"A mathematical model is presented that describes the growth of the tumor cells with delayand intrinsic behavior of it in the presence of immune cells.The immune-tumor model is modi¯ed withinclusion of one term delay factor. The introduction of delay term in the growth equation of the tumorcell has been analyzed and found that the stability of I-T-D model is depending on both the termnormal tumor cell and tumor cell in delay term. The stability of both immune and tumor cell withdelay has been analyzed under equilibrium condition and found the condition for stabilities of both immune and tumor cell under delay.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On the stability of immune-tumor model with one term delay in tumor (I-TD)\",\"authors\":\"A. Devi, Aditya Ghosh\",\"doi\":\"10.0000/IJAMC.2013.5.1.586\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mathematical model is presented that describes the growth of the tumor cells with delayand intrinsic behavior of it in the presence of immune cells.The immune-tumor model is modi¯ed withinclusion of one term delay factor. The introduction of delay term in the growth equation of the tumorcell has been analyzed and found that the stability of I-T-D model is depending on both the termnormal tumor cell and tumor cell in delay term. The stability of both immune and tumor cell withdelay has been analyzed under equilibrium condition and found the condition for stabilities of both immune and tumor cell under delay.\",\"PeriodicalId\":173223,\"journal\":{\"name\":\"International Journal of Applied Mathematics and Computation\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Applied Mathematics and Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.0000/IJAMC.2013.5.1.586\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.0000/IJAMC.2013.5.1.586","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the stability of immune-tumor model with one term delay in tumor (I-TD)
A mathematical model is presented that describes the growth of the tumor cells with delayand intrinsic behavior of it in the presence of immune cells.The immune-tumor model is modi¯ed withinclusion of one term delay factor. The introduction of delay term in the growth equation of the tumorcell has been analyzed and found that the stability of I-T-D model is depending on both the termnormal tumor cell and tumor cell in delay term. The stability of both immune and tumor cell withdelay has been analyzed under equilibrium condition and found the condition for stabilities of both immune and tumor cell under delay.