The diffusive Lotka-Volterra predator-prey system with delay

DOI10.1016/j.mbs.2015.09.010zbMath1364.92030OpenAlexW2187200853WikidataQ46653548 ScholiaQ46653548MaRDI QIDQ899330

N. E. Zubov

Publication date: 28 December 2015

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2015.09.010

zbMATH Keywords

Hopf bifurcationsreaction-diffusion equationssemi-analytical solutionsLotka-Volterra predator-prey model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (11)

Analysis of a delayed predator-prey system with harvesting ⋮ An operational matrix method to solve the Lotka-Volterra predator-prey models with discrete delays ⋮ Dynamics analysis of a delayed reaction-diffusion predator-prey system with non-continuous threshold harvesting ⋮ The modeling and control of a singular biological economic system with time delay in a polluted environment ⋮ Approximate Analytical Expression of Diffusive Lotka-Volterra Prey-Predator Equations via Variational Iteration Method ⋮ Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems ⋮ Stability strategies of demand-driven supply networks with transportation delay ⋮ Stability and Hopf bifurcation analysis for the diffusive delay logistic population model with spatially heterogeneous environment ⋮ Bifurcation of a delayed gause predator-prey model with Michaelis-Menten type harvesting ⋮ Stability analysis for Selkov-Schnakenberg reaction-diffusion system ⋮ Semi-analytical solutions for the diffusive logistic equation with mixed instantaneous and delayed density dependence

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