Dynamical analysis of fractional order model of immunogenic tumors

doi:10.1177/1687814016656704

	Dynamical analysis of fractional order model of immunogenic tumors
	Arshad, Sadia 1,2; Baleanu, Dumitru 3,4; Huang, Jianfei 5; Tang, Yifa1 ; Al Qurashi, Maysaa Mohamed 6
	2016-07-01
发表期刊	ADVANCES IN MECHANICAL ENGINEERING
ISSN	1687-8140
卷号	8 期号:7 页码:13
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.
关键词	Fractional differential equation immune-tumor model stability and bifurcation analysis numerical solutions
DOI	10.1177/1687814016656704
语种	英语
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
WOS类目	Thermodynamics ; Engineering, Mechanical
WOS记录号	WOS:000385215200031
出版者	SAGE PUBLICATIONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23950
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.