Pattern dynamics in a diffusive predator-prey model with hunting cooperations

Shuixian Yan, Dongxue Jia, Tonghua Zhang and Sanling Yuan

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: By considering the hunting cooperations, we propose a diffusive predator-prey model, in which the function response is an increasing function in both predator and prey densities. We then study the pattern structure: (a) Turing space in d21−α plane is obtained by linear stability analysis, (b) the technique of multiple-time-scale is used to derive the amplitude equations, and finally (c) pattern selection is discussed based on numerical simulations. The results show that the model can present rich pattern structures, and cross-diffusion has a significant impact on species distribution.

Keywords: Turing bifurcation; Turing space; Amplitude equation; Pattern formation (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919303686
Full text for ScienceDirect subscribers only

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:chsofr:v:130:y:2020:i:c:s0960077919303686

DOI: 10.1016/j.chaos.2019.109428

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().