Lyapunov functions for the global stability of competing predators

DOI10.1006/jmaa.1998.6198zbMath0917.92025OpenAlexW2027943982WikidataQ115611186 ScholiaQ115611186MaRDI QIDQ1284035

Chuang-Hsiung Chiu

Publication date: 6 July 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6198

zbMATH Keywords

global stabilitylogistic growthexploitative competitionHolling's type II functional reponse

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

A mathematical analysis of Hopf-bifurcation in a prey-predator model with nonlinear functional response

Cites Work

• Some results on global stability of a predator-prey system
• Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• On global stability of a predator-prey system
• Coexistence of competing predators in a chemostat
• Lyapunov functions for a generalized Gause-type model
• Global stability of a model for competing predators: An extension of the Ardito \& Ricciardi Lyapunov function
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limiting Behavior for Competing Species
• Competing Predators
• The Theory of the Chemostat

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