BIFURCATION ANALYSIS OF A TWO-DIMENSIONAL PREDATOR–PREY MODEL WITH HOLLING TYPE IV FUNCTIONAL RESPONSE AND NONLINEAR PREDATOR HARVESTING

DOI10.1142/S0218339020500199zbMath1460.92167OpenAlexW3085131269WikidataQ115523338 ScholiaQ115523338MaRDI QIDQ5856516

Uttam Ghosh, Prahlad Majumdar, Jayanta K. Ghosh

Publication date: 26 March 2021

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339020500199

zbMATH Keywords

saddle-node bifurcationHopf bifurcationtranscritical bifurcationBogdanov-Takens bifurcationprey-predatornonlinear harvestingHolling-type IV function

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (9)

DYNAMIC INTERACTIONS BETWEEN PREY AND PREDATOR WITH COOPERATION AND ALLEE EFFECT: DETERMINISTIC AND STOCHASTIC APPROACH ⋮ GLOBAL DYNAMICS OF A PREY–PREDATOR MODEL WITH HOLLING TYPE III FUNCTIONAL RESPONSE IN THE PRESENCE OF HARVESTING ⋮ Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting ⋮ EXTINCTION AND PERSISTENCE OF A HARVESTED PREY–PREDATOR MODEL INCORPORATING GROUP DEFENCE AND DISEASE IN PREY: SPECIAL EMPHASIS ON STOCHASTIC ENVIRONMENT ⋮ Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect ⋮ Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting ⋮ An autonomous and nonautonomous predator–prey model with fear, refuge, and nonlinear harvesting: Backward, Bogdanov–Takens, transcritical bifurcations, and optimal control ⋮ Study of co-dimension two bifurcation of a prey-predator model with prey refuge and non-linear harvesting on both species ⋮ BIFURCATION AND CHAOS IN A DISCRETE PREDATOR–PREY MODEL WITH HOLLING TYPE-III FUNCTIONAL RESPONSE AND HARVESTING EFFECT

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