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

DOI10.1155/2014/673424zbMath1474.92088OpenAlexW2118978874WikidataQ59040477 ScholiaQ59040477MaRDI QIDQ1724706

Ruiwen Wu, Xiuxiang Liu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/673424

Mathematics Subject Classification ID

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

Cites Work

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• Computing the heteroclinic bifurcation curves in predator-prey systems with ratio-dependent functional response
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• Parametric analysis of the ratio-dependent predator-prey model
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• 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
• Heteroclinic bifurcation in a ratio-dependent predator-prey system
• Population models with singular equilibrium
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System
• Elements of applied bifurcation theory
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

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