Spatial complexity of a predator-prey model with Holling-type response

DOI10.1155/2014/675378zbMath1406.92540OpenAlexW2062734997WikidataQ59040504 ScholiaQ59040504MaRDI QIDQ1724713

Lei Zhang, Zhi-Bin Li

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/675378

zbMATH Keywords

predator-prey modelHolling-type responsecomplex spatiotemporal dynamicsHopf and Turing bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (1)

Numerical Simulation of Nonlinear Ecological Models with Nonlocal and Nonsingular Fractional Derivative

Uses Software

• PRED_PREY

Cites Work

• Unnamed Item
• Unnamed Item
• A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves
• Allee-effect-induced instability in a reaction-diffusion predator-prey model
• A model aided understanding of spot pattern formation in chemotactic E. Coli colonies
• Numerical study of pattern formation in an extended Gray-Scott model
• Chaos in periodically forced Holling type IV predator-prey system with impulsive perturba\-tions
• The dynamics of a food web consisting of two preys and a harvesting predator
• Fast methods for determining the evolution of uncertain parameters in reaction-diffusion equations
• Global qualitative analysis of a ratio-dependent predator-prey system
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Noise in ecosystems: a short review
• Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response
• Pattern formation in spatially heterogeneous Turing reaction-diffusion models
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Turing pattern formation with two kinds of cells and a diffusive chemical
• Spiral patterns near Turing instability in a discrete reaction diffusion system
• Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses
• Coexistence states of a predator-prey system with non-monotonic functional response
• Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• Periodic Time-Dependent Predator-Prey Systems
• Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
• The chemical basis of morphogenesis
• Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
• Pattern formation outside of equilibrium
• Cycles, chaos, and noise in predator-prey dynamics

This page was built for publication: Spatial complexity of a predator-prey model with Holling-type response