On the stability of one-predator two-prey systems

DOI10.1216/RMJM/1181073051zbMath0728.92017OpenAlexW2065206549WikidataQ115517510 ScholiaQ115517510MaRDI QIDQ805525

Miklos Farkas

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073051

zbMATH Keywords

intraspecific competitionpermanent coexistenceasymptotic stability of an inner fixed pointexistence of carrying capacitiesMacArthur-Rosenzweig criterionneutral case of absent competitionone predatorstability of an inner equilibriumtwo competing preys

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) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Bifurcations in persistence theory ⋮ A generalized Holling type II model for the interaction between dextral-sinistral snails and \textit{Pareas} snakes

Cites Work

• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
• Persistence in models of three interacting predator-prey populations
• Permanent coexistence in general models of three interacting species
• The stable coexistence of competing species on a renewable resource
• Stability conditions for two predator one prey systems
• Graphical stability, enrichment, and pest control by a natural enemy

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