Modeling the effect of prey refuge on a ratio-dependent predator-prey system with the Allee effect

DOI10.1007/s11538-018-0394-6zbMath1388.34051OpenAlexW2794001839WikidataQ47556712 ScholiaQ47556712MaRDI QIDQ1747652

Maitri Verma, A. K. Misra

Publication date: 26 April 2018

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-018-0394-6

zbMATH Keywords

bifurcationpredator-prey systemprey refugeratio dependentallee effect

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (12)

Time-delay effect on a diffusive predator-prey model with habitat complexity ⋮ Global dynamics and parameter identifiability in a predator-prey interaction model ⋮ Spatiotemporal dynamics of a diffusive predator-prey system with allee effect and threshold hunting ⋮ Multistable states in a predator-prey model with generalized Holling type III functional response and a strong Allee effect ⋮ STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE ⋮ Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects ⋮ An autonomous and nonautonomous predator–prey model with fear, refuge, and nonlinear harvesting: Backward, Bogdanov–Takens, transcritical bifurcations, and optimal control ⋮ Spatiotemporal dynamics of a predator-prey system with prey-taxis and intraguild predation ⋮ Dynamics of prey–predator model with strong and weak Allee effect in the prey with gestation delay ⋮ Dynamics in a Plankton Model with Toxic Substances and Phytoplankton Harvesting ⋮ A DELAY NONAUTONOMOUS PREDATOR–PREY MODEL FOR THE EFFECTS OF FEAR, REFUGE AND HUNTING COOPERATION ⋮ Bifurcations in Holling-Tanner model with generalist predator and prey refuge

Cites Work

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