DIFFUSION-DRIVEN INSTABILITIES AND SPATIO-TEMPORAL PATTERNS IN AN AQUATIC PREDATOR–PREY SYSTEM WITH BEDDINGTON–DEANGELIS TYPE FUNCTIONAL RESPONSE

DOI10.1142/S0218127411028684zbMath1215.35161OpenAlexW2009669330WikidataQ107968182 ScholiaQ107968182MaRDI QIDQ3010308

Ranjit Kumar Upadhyay, Nilesh Kumar Thakur, Vikas Rai

Publication date: 30 June 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411028684

zbMATH Keywords

chaotic dynamicspattern formationfunctional responsefish predationspatial aquatic system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Pattern formations in context of PDEs (35B36)

Related Items (10)

Patterns formations in a diffusive ratio-dependent predator-prey model of interacting populations ⋮ Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion ⋮ Deciphering Dynamics of Epidemic Spread: The Case of Influenza Virus ⋮ Qualitative Analysis for a Phytoplankton-Zooplankton Model with Allee Effect and Holling Type II Response ⋮ Complex Dynamics of Wetland Ecosystem with Nonlinear Harvesting: Application to Chilika Lake in Odisha, India ⋮ Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay ⋮ Nonlinear dynamics of a nutrient-plankton model ⋮ The Role of Adaptation in Plankton System with Beddington-DeAngelis Type Functional Response ⋮ Turing Instability and Bifurcation in a Diffusion Predator–Prey Model with Beddington–DeAngelis Functional Response ⋮ Persistence, Turing Instability and Hopf Bifurcation in a Diffusive Plankton System with Delay and Quadratic Closure

Cites Work

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• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• Ecological chaos in the wake of invasion.
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type

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