A three species dynamical system involving prey-predation, competition and commensalism

DOI10.1016/j.amc.2015.09.036zbMath1410.92097OpenAlexW2208052525WikidataQ114683058 ScholiaQ114683058MaRDI QIDQ668442

Sunita Gakkhar, Komal Gupta

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.036

zbMATH Keywords

refugepersistenceHopf bifurcationcommensalismHolling-type II response

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items (8)

Two delayed commensalism models with noise coupling and interval biological parameters ⋮ On approximate solutions for a fractional prey-predator model involving the Atangana-Baleanu derivative ⋮ Alternative Resource and Harvesting in Predator-prey Dynamics: Analyzing a Delay Model ⋮ Hopf bifurcation, Hopf-hopf bifurcation, and period-doubling bifurcation in a four-species food web ⋮ The gestation delay: a factor causing complex dynamics in Gause-type competition models ⋮ Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment ⋮ Impact of fear on delayed three species food-web model with Holling type-II functional response ⋮ DYNAMICS OF FRACTIONAL-ORDER PREDATOR–PREY MODEL INCORPORATING TWO DELAYS

Uses Software

• XPPAUT

Cites Work

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• A predator-prey model with a Holling type I functional response including a predator mutual interference
• Stability analysis of mutualistic interactions among three species with limited resources for first species and unlimited resources for second and third species
• Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response
• Complex dynamics in a three-level trophic system with intraspecies interaction
• Persistence in models of three interacting predator-prey populations
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
• Dynamics of Leslie-Gower type generalist predator in a tri-trophic food web system
• On a Leslie-Gower predator-prey model incorporating a prey refuge
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
• Study of a Leslie-Gower-type tritrophic population model
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Stability analysis of a prey-predator model incorporating a prey refuge
• Order and chaos in a food web consisting of a predator and two independent preys
• Global asymptotical stability of the positive equilibrium of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges
• The effect of prey refuges on a three species food chain model
• ROLE OF PROTECTION IN A TRI-TROPHIC FOOD CHAIN DYNAMICS
• Simulating, Analyzing, and Animating Dynamical Systems
• BIFURCATIONS OF A HOLLING-TYPE II PREDATOR–PREY SYSTEM WITH CONSTANT RATE HARVESTING
• A Lotka-Volterra Three-Species Food Chain
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

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