Dynamical Behaviors of a Delayed Prey–Predator Model with Beddington–DeAngelis Functional Response: Stability and Periodicity
DOI10.1142/S0218127420502442zbMath1457.92152OpenAlexW3116966251WikidataQ115523544 ScholiaQ115523544MaRDI QIDQ5148906
Ruizhi Yang, Xin Zhang, Renxiang Shi, Zhangzhi Wei
Publication date: 5 February 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420502442
time delayBeddington-DeAngelis functional responsepredator-prey systemsupercritical Hopf bifurcation
Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)
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Cites Work
- Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
- Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response
- Theory of functional differential equations. 2nd ed
- Introduction to functional differential equations
- Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response.
- Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms
- A stage structured predator-prey model and its dependence on maturation delay and death rate
- Global asymptotical stability and persistent property for a diffusive predator-prey system with modified Leslie-Gower functional response
- An alternative formulation for a delayed logistic equation
- Explicit impacts of harvesting in delayed predator-prey models
- Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect
- Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4
- Global stability of the predator-prey model with a sigmoid functional response
- Dynamical analysis of a two species amensalism model with Beddington-DeAngelis functional response and Allee effect on the second species
- Global dynamics of Nicholson's blowflies equation revisited: onset and termination of nonlinear oscillations
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
- Global Existence and Uniqueness of Periodic Waves in a Population Model with Density-Dependent Migrations and Allee Effect
- Symmetric functional differential equations and neural networks with memory
- Bounded global Hopf branches for stage-structured differential equations with unimodal feedback
- Predator-prey Interactions with Delays Due to Juvenile Maturation
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
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