Stability analysis of a fractional-order diffused prey–predator model with prey refuges

Yingkang Xie, Junwei Lu and Zhen Wang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: In this paper, a fractional-order diffused prey–predator model with prey refuges is considered. The existence, uniqueness, non-negativity and boundedness of the solutions for the model are proved. Moreover, some sufficient conditions are given to ensure the existence and uniform asymptotic stability of the equilibrium point of the studied system. Finally, numerical simulations are presented in order to support the theoretical results.

Keywords: Diffusion; Prey–predator model; Prey refuge; Stability analysis; Fractional-order system (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119303735
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119303735

DOI: 10.1016/j.physa.2019.04.009

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().