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

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...

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Bibliographic Details
Published in:Advances in difference equations 2019-07, Vol.2019 (1), p.1-12, Article 299
Main Authors: Song, Jie, Xia, Yonghui, Bai, Yuzhen, Cai, Yaoxiong, O’Regan, D.
Format: Article
Language:English
Subjects:
Analysis
Computer simulation
Difference and Functional Equations
Functional Analysis
Functional response
Mathematics
Mathematics and Statistics
Non-autonomous
Nonlinear response
Ordinary Differential Equations
Partial Differential Equations
Periodic solutions
Permanence
Predator-prey model
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2203-4