Stability and Hopf Bifurcation of a Delayed Density-Dependent Predator–Prey System with Beddington–DeAngelis Functional Response

DOI10.1142/S0218127416501650zbMath1352.34109WikidataQ115523764 ScholiaQ115523764MaRDI QIDQ2953733

Zhikun She, Gang Meng, Haiyin Li

Publication date: 6 January 2017

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

zbMATH Keywords

Hopf bifurcationBeddington-DeAngelis functional responsedensity dependencestability switches

Mathematics Subject Classification ID

Population dynamics (general) (92D25) 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)

Related Items

Existence of periodic solutions in a nonautonomous food web with Beddington-DeAngelis functional response, Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect, Bifurcation Analysis of a Predator–Prey System with Ratio-Dependent Functional Response, Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge, Explicit impacts of harvesting in delayed predator-prey models, Dynamics of prey–predator model with strong and weak Allee effect in the prey with gestation delay, Modeling the Effect of Fear in a Prey–Predator System with Prey Refuge and Gestation Delay, Hopf bifurcation analysis of predator–prey model with two delays and disease transmission

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of periodic solutions of a nonautonomous density-dependent predator-prey system
• Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
• Delay differential equations: with applications in population dynamics
• A stage-structured predator-prey model with Beddington-DeAngelis functional response
• Hopf bifurcation analysis of a predator-prey system with Holling type IV functional response and time delay
• Introduction to functional differential equations
• A stage structured predator-prey model and its dependence on maturation delay and death rate
• Dynamics of a density-dependent stage-structured predator-prey system with Beddington-DeAngelis functional response
• Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
• A time-delay model of single-species growth with stage structure
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Dynamics of a non-autonomous density-dependent predator–prey model with Beddington–DeAngelis type
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• COMPLEX NETWORKS: TOPOLOGY, DYNAMICS AND SYNCHRONIZATION
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type
• Optimal harvesting and stability for two-species competitive system with stage structure