HOPF BIFURCATION ANALYSIS OF A DENSITY PREDATOR-PREY MODEL WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE AND TWO TIME DELAYS

DOI10.11948/2156-907X.20190029zbMath1472.34144MaRDI QIDQ5859416

Yan Yan, Shumin Li, Chunxia Liu

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

zbMATH Keywords

time-delayHopf bifurcationspredator-prey systemdensity dependence

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) 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) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

A higher-order noise perturbed predator-prey system with fear effect and mixed functional responses ⋮ Hopf bifurcation for an age-structured predator-prey model with Crowley-Martin functional response and two delays

Cites Work

• Dynamics of a three species food chain model with Crowley-Martin type functional response
• Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
• Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response
• The asymptotic behavior of a chemostat model with crowley-martin type functional response and time delays
• Global analyses in some delayed ratio-dependent predator-prey systems
• STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY
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