Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system

Xiangyu Tao and Linhe Zhu

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this paper, we establish a diffusion-reaction predator-prey model with Allee effect and time delay. For this model, we mainly study the effects of time delay and periodic diffusion on the stability of the equilibrium point and the formation of Turing pattern. First, we theoretically analyze the conditions of Turing instability caused by the time delay and periodic diffusion. At the same time, through a large number of numerical simulations, we verify the existence of spatiotemporal patterns and obtain that the pattern in the formation process not only appears the spots, strips, but also exists the coexistence of spots and strips. In addition, it also appears the labyrinth pattern under some suitable parameters. The final comparisons show that periodic diffusion, time delay and Allee effect all play an important role in the formation of Turing pattern.

Keywords: Predator-prey model; Time delay; Periodic diffusion; Allee effect; Spatiotemporal pattern (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921004550
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:150:y:2021:i:c:s0960077921004550

DOI: 10.1016/j.chaos.2021.111101

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. ().