Hopf bifurcation of a predator-prey system with stage structure and harvesting

DOI10.1016/j.na.2010.09.019zbMath1207.34106OpenAlexW2030369871WikidataQ115568810 ScholiaQ115568810MaRDI QIDQ608418

Jingjing Yan, Zhihao Ge

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.019

zbMATH Keywords

delayHopf bifurcationstage structurepredator-prey system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items (9)

Stationary distribution of a stage-structure predator-prey model with prey's counter-attack and higher-order perturbations ⋮ On the nature of bifurcation in a ratio-dependent predator-prey model with delays ⋮ Dynamics of a Stage-Structured-Prey and Predator Model with Linear Harvesting of Mature Prey and Predator ⋮ Global dynamics and numerical bifurcation of a bioeconomic system ⋮ Effect of predator cannibalism and prey growth on the dynamic behavior for a predator-stage structured population model with diffusion ⋮ Hybrid approach for pest control with impulsive releasing of natural enemies and chemical pesticides: a plant-pest-natural enemy model ⋮ The Hopf bifurcation for a predator-prey system with \(\theta\)-logistic growth and prey refuge ⋮ Novel dynamics of a predator-prey system with harvesting of the predator guided by its population ⋮ Dynamics of a stage-structured SI model for food adulteration with media-induced response function

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