Global dynamics of Lotka-Volterra equations characterizing multiple predators competing for one prey

DOI10.1016/j.jmaa.2020.124293zbMath1451.34070OpenAlexW3034090798WikidataQ115570246 ScholiaQ115570246MaRDI QIDQ2195198

Yuanshi Wang, Hong Wu

Publication date: 8 September 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124293

zbMATH Keywords

competitionparasitismprinciple of competitive exclusionpigeonhole principleVolterra's principle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Global stability of a Lotka-Volterra piecewise-smooth system with harvesting actions and two predators competing for one prey ⋮ Historical behavior for a class of Lotka–Volterra systems ⋮ Three-prey one-predator continuous time nonlinear system model ⋮ Analysis of a class of Lotka-Volterra systems

Cites Work

• Global dynamics of a mutualism-competition model with one resource and multiple consumers
• Relaxation oscillations in a class of predator-prey systems.
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• Competing Predators
• Evolutionary Games and Population Dynamics
• Global Dynamics of a Lotka--Volterra Model with Two Predators Competing for One Prey

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