Bifurcation, chaos, and pattern formation for the discrete predator-prey reaction-diffusion model

DOI10.1155/2019/9592878zbMath1453.92253OpenAlexW2927185249WikidataQ115521739 ScholiaQ115521739MaRDI QIDQ2296613

Yutao Han, Guang Zhang, ZhiYi Lu, LiLi Meng

Publication date: 18 February 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/9592878

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (3)

Global stability for a discrete space-time Lotka-Volterra system with feedback control ⋮ Dynamics of diffusive modified Previte-Hoffman food web model ⋮ Flip bifurcation of a discrete predator-prey model with modified Leslie-Gower and Holling-type III schemes

Cites Work

• Unnamed Item
• Unnamed Item
• Evolutionary tradeoff and equilibrium in an aquatic predator-prey system
• Bifurcation and chaotic behavior of a discrete-time predator-prey system
• Bifurcation and chaos in a discrete-time predator-prey system of Holling and Leslie type
• Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global qualitative analysis of a ratio-dependent predator-prey system
• A predator-prey model with predators using hawk and dove tactics
• Bifurcation analysis of a discrete-time ratio-dependent predator-prey model with Allee effect
• Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• Dynamic complexities in a discrete predator-prey system with lower critical point for the prey
• The chemical basis of morphogenesis
• Mathematical and Computational Challenges in Population Biology and Ecosystems Science

This page was built for publication: Bifurcation, chaos, and pattern formation for the discrete predator-prey reaction-diffusion model