Bifurcations and hydra effects in Bazykin's predator-prey model

DOI10.1016/j.tpb.2021.05.002zbMath1478.92146OpenAlexW3163979865WikidataQ115566579 ScholiaQ115566579MaRDI QIDQ2056395

Saikat Mukherjee, Prabir Das Adhikary, Bapan Ghosh

Publication date: 2 December 2021

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2021.05.002

zbMATH Keywords

saddle-node bifurcationpopulation dynamicsintraspecific competitionstable stockmulti-stability

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76)

Related Items (7)

A stage-structured fishery model for African catfish and Nile Tilapia feeding on two food resources with harvesting ⋮ Square root identities for harvested Beverton-Holt models ⋮ Properties in stage-structured population models with deterministic and stochastic resource growth ⋮ Multistability, chaos and mean population density in a discrete-time predator-prey system ⋮ Understanding the hydra effect in predator-dependent functional response models ⋮ Equilibria and Bogdanov-Takens bifurcation analysis in the Bazykin's predator-prey system ⋮ Bursting oscillations induced by multiple coexisting attractors in a modified 3D van der Pol-Duffing system

Cites Work

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• Prey dynamics under generalist predator culling in stage structured models
• The hydra effect in predator-prey models
• The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting
• Multiple coexistence equilibria in a two parasitoid-one host model
• Adaptive behaviour and multiple equilibrium states in a predator-prey model
• The impact of mortality on predator population size and stability in systems with stage-structured prey
• Bifurcations of equilibria in Bazykin's predator-prey model
• Stability and Hopf Bifurcation in a Predator–Prey System with Several Parameters
• Multiparameter Bifurcation of a Predator-Prey System
• The interplay between fishery yield and top predator culling in a multispecies fishery context

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