Dynamics of a discrete predator-prey model with Holling-II functional response
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Publication:5015332
DOI10.1142/S1793524521500686zbMath1479.39023OpenAlexW3167695016WikidataQ115522660 ScholiaQ115522660MaRDI QIDQ5015332
Publication date: 7 December 2021
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524521500686
transcritical bifurcationNeimark-Sacker bifurcationdiscrete predator-prey systemsemidiscretization method
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)
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Cites Work
- Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control
- A predator-prey model with a Holling type I functional response including a predator mutual interference
- Further investigations into the stability and bifurcation of a discrete predator-prey model
- Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
- Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
- Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
- Bifurcation analysis of a predator-prey system with generalised Holling type III functional response
- Bifurcations of a discrete prey-predator model with Holling type II functional response
- Bifurcations in fluctuating systems: The center-manifold approach
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Elements of applied bifurcation theory.
- Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
- A center-stable manifold theorem for differential equations in Banach spaces
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- Complexity and chaos control in a discrete-time prey-predator model
- Global stability for a nonautonomous reaction-diffusion predator-prey model with modified Leslie-Gower Holling-II schemes and a prey refuge
- Stability and Hopf bifurcation of a predator-prey model
- Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
- Bifurcations in a predator-prey model with general logistic growth and exponential fading memory
- Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response
- Dynamics and chaos control in a discrete-time ratio-dependent Holling-Tanner model
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Leslie’s prey–predator model in discrete time
- NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL
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