Stability analysis of the fractional-order prey-predator model with infection

被引：24
作者：
Ramesh, Perumal [1 ]
Sambath, Muniyagounder [1 ]
Mohd, Mohd Hafiz [2 ]
Balachandran, Krishnan [3 ]
机构：
[1] Periyar Univ, Dept Math, Salem 636011, Tamil Nadu, India
[2] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
[3] Bharathiar Univ, Dept Math, Coimbatore, Tamil Nadu, India
来源：
INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION | 2021年 / 41卷 / 06期
关键词：
Boundedness; existence and uniqueness; solutions; fractional dynamical system; stability; prey-predator model; SYNCHRONIZATION; DYNAMICS; DISEASE;
D O I：
10.1080/02286203.2020.1783131
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we propose a fractional-order prey-predator model with infection on both populations. First, we prove some important results such as existence, uniqueness, non-negativity and boundedness of the solutions of the fractional-order dynamical system. Next, we discuss the local stability and global stability of the fractional-order prey-predator model. Numerical simulations are presented with several examples.
引用
收藏
页码：434 / 450
页数：17
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