A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity

被引：10
|
作者：
Song, Jie [1 ,2 ]
Xia, Yonghui [3 ]
Bai, Yuzhen [4 ]
Cai, Yaoxiong [2 ]
O'Regan, D. [5 ]
机构：
[1] Huaqiao Univ, Sch Econ & Finance, Quanzhou, Fujian, Peoples R China
[2] Huaqiao Univ, Sch Math Sci, Quanzhou, Fujian, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China
[4] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
[5] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Periodic solutions; Functional response; Permanence; Non-autonomous; Predator-prey model; PREDATOR-PREY MODEL; POSITIVE PERIODIC-SOLUTIONS; STEADY-STATE; BIFURCATION; DYNAMICS; SYSTEM; STABILITY; EXISTENCE;
D O I：
10.1186/s13662-019-2203-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers a non-autonomous modified Leslie-Gower model with Holling type IV functional response and nonlinear prey harvesting. The permanence of the model is obtained, and sufficient conditions for the existence of a periodic solution are presented. Two examples and their simulations show the validity of our results.
引用
收藏
页数：12
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