Influencia del efecto Allee débil en las presas en un modelo de depredación del tipo Leslie-Gower con respuesta funcional sigmoidea

DOI10.15517/RMTA.V29I1.48408OpenAlexW4206107995MaRDI QIDQ5042073

Sebastián Valenzuela-Figueroa, Eduardo González-Olivares, Alejandro Rojas-Palma

Publication date: 18 October 2022

Published in: Revista de Matemática: Teoría y Aplicaciones (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15517/rmta.v29i1.48408

zbMATH Keywords

stabilitybifurcationlimit cyclefunctional responsepredator-prey modelseparatrix curve

Mathematics Subject Classification ID

General and overarching topics; collections (00-XX)

Cites Work

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• Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey
• Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
• Global stability in a modified Leslie-Gower type predation model assuming mutual interference among generalist predators
• Dynamics of a modified Leslie-Gower predation model considering a generalist predator and the hyperbolic functional response
• Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response
• Qualitative theory of planar differential systems
• Almost global attraction in planar systems
• A Short History of Mathematical Population Dynamics
• The properties of a stochastic model for the predator-prey type of interaction between two species
• A Leslie–Gower-type predator–prey model with sigmoid functional response
• Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
• Uniqueness of a Limit Cycle for a Predator-Prey System
• Dynamics of a Predator-Prey Model
• Global Dynamics in the Leslie–Gower Model with the Allee Effect
• Consequences of Weak Allee Effect in a Leslie–Gower-Type Predator–Prey Model with a Generalized Holling Type III Functional Response
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Elements of applied bifurcation theory
• A dual to Lyapunov's stability theorem
• Absence of limit cycles of a predator-prey system with a sigmoid functional response

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