Bifurcation analysis of fractional-order VD model

被引：0
|
作者：
Ramesh, P. [1 ]
机构：
[1] Periyar Univ, Dept Math, Salem 636011, Tamil Nadu, India
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2021年 / 11卷 / 5-6期
关键词：
boundedness; existence and uniqueness; fractional dynamical system; stability; Hopf bifurcation; Caputo derivative; numerical solution; PREDATOR-PREY; STABILITY; DISEASE;
D O I：
10.1504/IJDSDE.2021.120049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have introduced the fractional-order VD model. Also, we studied the basic results such as existence, uniqueness, boundedness of the fractional-order dynamical system. The local stability and Hopf bifurcation analysis of the fractional-order VD model are studied. Finally, we present some numerical simulations that validates the theoretical results.
引用
收藏
页码：542 / 565
页数：24
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