Dynamical analysis of fractional order model of immunogenic tumors
文献类型：期刊论文
| 作者 | Arshad, Sadia1,2; Baleanu, Dumitru3,4; Huang, Jianfei5; Tang, Yifa1 ; Al Qurashi, Maysaa Mohamed6
|
| 刊名 | ADVANCES IN MECHANICAL ENGINEERING
 |
| 出版日期 | 2016-07-01 |
| 卷号 | 8期号:7页码:13 |
| 关键词 | Fractional differential equation immune-tumor model stability and bifurcation analysis numerical solutions |
| ISSN号 | 1687-8140 |
| DOI | 10.1177/1687814016656704 |
| 英文摘要 | In this article, we examine the fractional order model of the cytotoxic T lymphocyte response to a growing tumor cell population. We investigate the long-term behavior of tumor growth and explore the conditions of tumor elimination analytically. We establish the conditions for the tumor-free equilibrium and tumor-infection equilibrium to be asymptotically stable and provide the expression of the basic reproduction number. Existence of physical significant tumor-infection equilibrium points is investigated analytically. We show that tumor growth rate, source rate of immune cells, and death rate of immune cells play vital role in tumor dynamics and system undergoes saddle-node and transcritical bifurcation based on these parameters. Furthermore, the effect of cancer treatment is discussed by varying the values of relevant parameters. Numerical simulations are presented to illustrate the analytical results. |
| 资助项目 | "Research Center of the Center for Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University ; King Saud University |
| WOS研究方向 | Thermodynamics ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000385215200031 |
| 出版者 | SAGE PUBLICATIONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23949]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Arshad, Sadia |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.COMSATS Inst Informat Technol, Lahore, Pakistan 3.Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey 4.Inst Space Sci, Magurele, Romania 5.Qingdao Univ, Coll Math, Qingdao, Peoples R China 6.King Saud Univ, Dept Math, Riyadh, Saudi Arabia |
| 推荐引用方式 GB/T 7714 | Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,et al. Dynamical analysis of fractional order model of immunogenic tumors[J]. ADVANCES IN MECHANICAL ENGINEERING,2016,8(7):13. |
| APA | Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,Tang, Yifa,&Al Qurashi, Maysaa Mohamed.(2016).Dynamical analysis of fractional order model of immunogenic tumors.ADVANCES IN MECHANICAL ENGINEERING,8(7),13. |
| MLA | Arshad, Sadia,et al."Dynamical analysis of fractional order model of immunogenic tumors".ADVANCES IN MECHANICAL ENGINEERING 8.7(2016):13. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。