Global Stability of a Predator-Prey Model with Ivlev-Type Functional Response

DOI10.5206/MASE/10794zbMath1498.92180OpenAlexW3082203130WikidataQ113197985 ScholiaQ113197985MaRDI QIDQ5040144

Yinshu Wu, Wenzhang Huang

Publication date: 11 October 2022

Published in: Mathematics in Applied Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5206/mase/10794

zbMATH Keywords

positive equilibriumlocal and global stabilityIvlev-Type functional response

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

• Bifurcation analysis of a plant-herbivore model with toxin-determined functional response
• Two-parameter bifurcation in a predator-prey system of Ivlev type
• Stability analysis of prey-predator system with Holling type functional response and prey refuge
• Sensitivity of the dynamics of the general Rosenzweig-Macarthur model to the mathematical form of the functional response: a bifurcation theory approach
• A predator-prey model with Ivlev's functional response
• Global dynamics of a predator-prey model with general Holling type functional responses
• Global stability of the predator-prey model with a sigmoid functional response
• Existence of multiple limit cycles in a predator-prey model with \(\arctan(ax)\) as functional response
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Global Dynamics of a Plant-Herbivore Model with Toxin-Determined Functional Response
• Bifurcation Analysis of a Predator-Prey System Involving Group Defence
• Uniqueness of limit cycles of generalised Lienard systems and predator-prey systems
• On a Kind of Predator-Prey System
• Dynamics of a Predator-Prey Model

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