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

Jie Song; Yonghui Xia; Yuzhen Bai; Yaoxiong Cai; D. O’Regan

doi:10.1186/s13662-019-2203-4

Advances in Difference Equations (Jul 2019)

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

Jie Song,
Yonghui Xia,
Yuzhen Bai,
Yaoxiong Cai,
D. O’Regan

Affiliations

Jie Song: School of Economics and Finance, Huaqiao University
Yonghui Xia: Department of Mathematics, Zhejiang Normal University
Yuzhen Bai: School of Mathematical Sciences, Qufu Normal University
Yaoxiong Cai: School of Mathematical Sciences, Huaqiao University
D. O’Regan: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland

DOI: https://doi.org/10.1186/s13662-019-2203-4
Journal volume & issue: Vol. 2019, no. 1
pp. 1 – 12

Abstract

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Abstract 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.

Published in Advances in Difference Equations

ISSN: 1687-1839 (Print); 1687-1847 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.advancesindifferenceequations.com/

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