Impact of Prey Refuge on a Discrete Time Predator–Prey System with Allee Effect

DOI10.1142/S0218127414501065zbMath1301.39013OpenAlexW1991993422WikidataQ115523804 ScholiaQ115523804MaRDI QIDQ2932613

Sabyasachi Bhattacharya, Amiya Ranjan Bhowmick, Sourav Rana

Publication date: 3 December 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127414501065

zbMATH Keywords

chaosstability analysisHopf bifurcationflip bifurcation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28) Chaotic behavior of solutions of difference equations (39A33)

Related Items (12)

Effects of Predator-Driven Prey Dispersal on Sustainable Harvesting Yield ⋮ Hunting Cooperation in a Discrete-Time Predator–Prey System ⋮ Dynamic complexity and bifurcation analysis of a host-parasitoid model with Allee effect and Holling type III functional response ⋮ Spatiotemporal dynamics of Leslie-Gower predator-prey model with Allee effect on both populations ⋮ Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect ⋮ Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects ⋮ Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge ⋮ Modeling the effect of prey refuge on a ratio-dependent predator-prey system with the Allee effect ⋮ Chaos control in a discrete-time predator–prey model with weak Allee effect ⋮ Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge ⋮ Under the influence of crowding effects: Stability, bifurcation and chaos control for a discrete-time predator–prey model ⋮ A discrete-time model with non-monotonic functional response and strong Allee effect in prey

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