Complex behavior of prey-predator system exhibiting group defense: A mathematical modeling study

DOI10.1016/j.chaos.2017.05.010zbMath1373.92110OpenAlexW2610493516WikidataQ115579771 ScholiaQ115579771MaRDI QIDQ1674358

Peng Zhang

Publication date: 2 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.05.010

zbMATH Keywords

chaosbifurcation diagrampredator-prey modelgroup defenseMonod-Haldane functional response

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (19)

Dynamic behavior of a fractional order prey-predator model with group defense ⋮ An efficient computational approach for a fractional-order biological population model with carrying capacity ⋮ An efficient numerical technique for a biological population model of fractional order ⋮ Investigation on dynamics of an impulsive predator-prey system with generalized Holling type IV functional response and anti-predator behavior ⋮ Prey-predator-scavenger model with Monod-Haldane type functional response ⋮ A predator-prey model with cooperative hunting in the predator and group defense in the prey ⋮ Mathematical study about a predator-prey model with anti-predator behavior ⋮ EXTINCTION AND PERSISTENCE OF A HARVESTED PREY–PREDATOR MODEL INCORPORATING GROUP DEFENCE AND DISEASE IN PREY: SPECIAL EMPHASIS ON STOCHASTIC ENVIRONMENT ⋮ Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey ⋮ Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators ⋮ Hopf bifurcation, Hopf-hopf bifurcation, and period-doubling bifurcation in a four-species food web ⋮ Modeling and analysis of inhibitory effect in plankton-fish model: application to the hypertrophic Swarzedzkie Lake in Western Poland ⋮ On a cannibalistic predator-prey model with prey defense and diffusion ⋮ Dynamical complexities in a predator-prey system involving teams of two prey and one predator ⋮ Threshold control strategy for a non-smooth Filippov ecosystem with group defense ⋮ Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting ⋮ Dynamical behavior of a fractional-order prey-predator model with infection and harvesting ⋮ A prey–predator system with disease in prey and cooperative hunting strategy in predator ⋮ Study of stability and bifurcation of three species food chain model with non-monotone functional response

Cites Work

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