HOPF BIFURCATION INDUCED BY NEUTRAL DELAY IN A PREDATOR–PREY SYSTEM

DOI10.1142/S0218127413501745zbMath1284.34120WikidataQ115523825 ScholiaQ115523825MaRDI QIDQ5405837

Weihua Jiang, Ben Niu

Publication date: 3 April 2014

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

zbMATH Keywords

neutral typepredator-prey modelquasiperiodic solutiondouble Hopf bifurcationstability switches

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) 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)

Related Items (3)

A diffusive predator-prey system with prey refuge and gestation delay ⋮ STABILITY AND HOPF BIFURCATION OF A MODIFIED DELAY PREDATOR-PREY MODEL WITH STAGE STRUCTURE ⋮ Coexistence of Periodic Oscillations Induced by Predator Cannibalism in a Delayed Diffusive Predator–Prey Model

Cites Work

• Unnamed Item
• Normal forms for NFDEs with parameters and application to the lossless transmission line
• Hopf bifurcation for neutral functional differential equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Uniform persistence in functional differential equations
• Convergence results in a well-known delayed predator-prey system
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Stability and delays in a predator-prey system
• On a periodic neutral delay Lotka-Volterra system
• Two-parameter bifurcations in a network of two neurons with multiple delays
• Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system
• DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION
• DYNAMICS OF MODIFIED PREDATOR-PREY MODELS
• Positive Periodic Solutions of N-Species Neutral Delay Systems
• Hopf bifurcation calculations for scalar neutral delay differential equations
• C^k centre unstable manifolds
• Equivariant Hopf bifurcation for neutral functional differential equations
• Monotone Semiflows Generated by Neutral Functional Differential Equations With Application to Compartmental Systems
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
• STABILITY ANALYSIS OF PERIODIC SOLUTIONS TO THE NONSTANDARD DISCRETIZED MODEL OF THE LOTKA–VOLTERRA PREDATOR–PREY SYSTEM

This page was built for publication: HOPF BIFURCATION INDUCED BY NEUTRAL DELAY IN A PREDATOR–PREY SYSTEM