The stable coexistence of competing species on a renewable resource

DOI10.1016/0022-247X(89)90303-XzbMath0661.92021OpenAlexW1978480648MaRDI QIDQ1113843

Herb I. Freedman, Miklos Farkas

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90303-x

zbMATH Keywords

numerical exampleglobal stabilitylocal stabilityHopf bifurcationcompetition modelstwo competing speciesautonomous ordinary differential equationsasymptotically stable equilibriumprey resource

Mathematics Subject Classification ID

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

Related Items (9)

Stability conditions for two predator one prey systems ⋮ Modeling the role of constant and time varying recycling delay on an ecological food chain ⋮ Role of different system delays on ecological food chain dynamics: Mathematical modelling and analysis ⋮ Existence and global attractivity of positive periodic solutions for a generalized predator-prey system with time delay ⋮ The existence of eight positive periodic solutions for a generalized prey-predator system with delay and stocking ⋮ Persistence and bifurcation analysis on a predator–prey system of holling type ⋮ Qualitative analysis of a predator-prey system with limit cycles ⋮ On the stability of one-predator two-prey systems ⋮ Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation

Cites Work

• Unnamed Item
• Persistence in models of three interacting predator-prey populations
• Global stability and persistence of simple food chains
• Some mathematical problems concerning the ecological principle of competitive exclusion
• Graphical stability, enrichment, and pest control by a natural enemy
• On global stability of a predator-prey system
• Oscillatory Coexistence in the Chemostat: A Codimension Two Unfolding
• Uniformly Persistent Systems
• Zip bifurcation in a competition model

This page was built for publication: The stable coexistence of competing species on a renewable resource