Dynamics of a predator-prey system with a mate-finding Allee effect on prey

DOI10.3906/mat-1411-8zbMath1424.92037OpenAlexW2618798731WikidataQ115483992 ScholiaQ115483992MaRDI QIDQ4633298

Xiuxaing Liu, Ruiwen Wu

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1411-8

zbMATH Keywords

homoclinic looppredator-prey systemBogdanov-Takens bifurcationnonmonotonic functional responseheteroclinic curvemate-finding Allee effect

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and bifurcation analysis of a delayed Leslie-Gower predator-prey system with nonmonotonic functional response
• Existence and multiplicity of positive solutions to a quasilinear elliptic equation with strong Allee effect growth rate
• Periodic solutions of some models with strong Allee effects
• Allee effect in a discrete-time predator-prey system
• Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
• A spatially explicit model for an Allee effect: why wolves recolonize so slowly in Greater Yellowstone
• Global dynamics of a predator-prey model
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global qualitative analysis of a ratio-dependent predator-prey system
• Uniqueness of limit cycles and multiple attractors in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey
• Global qualitative analysis of a predator-prey system with Allee effect on the prey species
• Strong Allee effect in a diffusive predator-prey system with a protection zone
• A diffusive SI model with Allee effect and application to FIV
• Consequences of double Allee effect on the number of limit cycles in a predator-prey model
• Habitat selection reduces extinction of populations subject to Allee effecs
• How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Elements of applied bifurcation theory
• Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response

This page was built for publication: Dynamics of a predator-prey system with a mate-finding Allee effect on prey