Bifurcation and turing instability analysis for a space- and time-discrete predator–prey system with Smith growth function

Xiaoling Han and Ceyu Lei

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

Abstract: In this paper, the dynamic behavior of a space- and time-discrete predator–prey system with Smith growth function is studied. Through the stability analysis, the parametric conditions are gained to ensure the stability of the homogeneous steady state of the system. Through the bifurcation theory, the expressions of the critical values for the occurrence of Neimark–Sacker bifurcation and flip bifurcation of the system are obtained, and the conditions for the occurrence of Turing bifurcation of the system are given. Finally, through numerical simulation, we can observe some complex dynamic behaviors, such as period-doubling cascade, invariant circles, periodic windows, chaotic dynamics and pattern formation.

Keywords: Discrete model; Neimark–Sacker bifurcation; Flip bifurcation; Turing bifurcation; Chaos (search for similar items in EconPapers)
Date: 2023
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/S096007792201089X
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:166:y:2023:i:c:s096007792201089x

DOI: 10.1016/j.chaos.2022.112910

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. ().