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Bifurcation analysis for a fractional-order chemotherapy model with two different delays

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成果类型:
期刊论文
作者:
Xu, Changjin*;Li, Peiluan;Liao, Maoxin;Yuan, Shuai
通讯作者:
Xu, Changjin
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.
[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Yuan, Shuai] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
通讯机构:
[Xu, Changjin] G
Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.
语种:
英文
关键词:
Chemotherapy;Convergence of numerical methods;Differential equations;Diseases;MATLAB;Oncology;Stability criteria;Analytical predictions;Bifurcation analysis;delay;Dynamical properties;Fractional order;Fractional-order differential equations;Intrinsic characteristics;Stability theories;Hopf bifurcation
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2020
卷:
43
期:
3
页码:
1053-1083
基金类别:
The work is supported by National Natural Science Foundation of China (No. 61673008), Project of High‐level Innovative Talents of Guizhou Province ([2016]5651), Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Innovative Exploration Project of Guizhou University of Finance and Economics ([2017]5736‐015), Project of Key Laboratory of Guizhou Province with Financial and Physical Features ([2017]004), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047), and Guizhou University of Finance and Economics (2018XZD01). The work is supported by National Natural Science Foundation of China (No. 61673008), Project of High-level Innovative Talents of Guizhou Province ([2016]5651), Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Innovative Exploration Project of Guizhou University of Finance and Economics ([2017]5736-015), Project of Key Laboratory of Guizhou Province with Financial and Physical Features ([2017]004), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047), and Guizhou University of Finance and Economics (2018XZD01).
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
Cancer is one of the most serious diseases in the world. The investigation on cancer treatment has attracted great attention from medical workers, mathematical researchers, and scholars in various fields. To understand the intrinsic characteristics of cancer, numerous scholars have established cancer treatment models and discussed the dynamical properties. However, the main work of many scholars only focuses on the integer-order cancer treatment models, while the study on fractional-order ones is quite a few. In the present article, on the basi...

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