Complex dynamics of a discrete-time predator-prey system with Holling IV functional response
DOI10.1016/j.chaos.2016.04.002zbMath1369.92090OpenAlexW2339190293WikidataQ115579821 ScholiaQ115579821MaRDI QIDQ508244
Zhipeng Qiu, Zengyun Hu, Qianqian Cui, Qiang Zhang
Publication date: 10 February 2017
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2016.04.002
periodic solutionsperiod doubling bifurcationNeimark-Sacker bifurcationflip bifurcationdiscrete predator-prey systemHolling IV type response functioninvariant cycles
Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
Related Items (22)
Cites Work
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- Chaotic dynamics of a discrete predator-prey system with prey refuge
- Bifurcation and chaotic behavior of a discrete-time Ricardo-Malthus model
- 1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh-Rose model
- Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
- Chaotic dynamics of a discrete prey-predator model with Holling type II
- Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Predator-prey systems with group defence: The paradox of enrichment revisited
- Applications of centre manifold theory
- Stabilizing effects of spatial heterogeneity in predator-prey systems
- Graphical stability, enrichment, and pest control by a natural enemy
- The effect of seasonal harvesting on a single-species discrete population model with stage structure and birth pulses
- Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
- Hopf bifurcation and multiple periodic solutions in Lotka-Volterra systems with symmetries
- Complex dynamic behaviors of a discrete-time predator-prey system
- Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Bifurcation Analysis of a Predator-Prey System Involving Group Defence
- Chaos in Dynamical Systems
- Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Chaos
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