Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest

被引：32

作者：

Xie, Yingkang ^{[1
]}

Wang, Zhen ^{[1
]}

Meng, Bo ^{[1
]}

Huang, Xia ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 106卷

基金：

中国国家自然科学基金;

关键词：

Fractional-order system; Prey-predator model; Discontinuous harvest; Holling III functional response; SYSTEM; BIFURCATION; STABILITY;

D O I：

10.1016/j.aml.2020.106342

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this letter, a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest is considered. The non-negative and boundedness of the model are proved. In addition, some conditions for the existence and stability of the positive equilibrium point are proposed. Finally, numerical simulations are given to confirm the correctness of theorem. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：8

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