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

Donal O'Regan

doi:10.1186/s13662-019-2203-4

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

Donal O'Regan

Mathematics

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16 Citations (Scopus)

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.

Original language	English (Ireland)
Article number	299
Journal	Advances In Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2203-4
Publication status	Published - 1 Jul 2019

Keywords

Functional response
Non-autonomous
Periodic solutions
Permanence
Predator-prey model

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Song, J,Xia, YH,Bai, YZ,Cai, YX,O'Regan, D

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1186/s13662-019-2203-4

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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.",

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AB - 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.

KW - Functional response

KW - Non-autonomous

KW - Periodic solutions

KW - Permanence

KW - Predator-prey model

UR - https://www.scopus.com/pages/publications/85069714023

U2 - 10.1186/s13662-019-2203-4

DO - 10.1186/s13662-019-2203-4

M3 - Article

VL - 2019

JO - Advances In Difference Equations

JF - Advances In Difference Equations

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M1 - 299

ER -

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

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

UN SDGs

Access to Document

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