Stability conditions for two predator one prey systems

DOI10.1007/BF00046669zbMath0669.92019OpenAlexW4245006435WikidataQ115610827 ScholiaQ115610827MaRDI QIDQ1119208

Herb I. Freedman, Miklos Farkas

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046669

zbMATH Keywords

global asymptotic stabilitypredator-prey systemsintraspecific competitionAndronov-Hopf bifurcationinterspecific competitionone-prey two-predator systemRosenzweig-MacArthur graphical criterion of stability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (12)

Effect of fear on two predator-one prey model in deterministic and fluctuating environment ⋮ Limit cycles in a prey-predator system ⋮ Analysis of a stochastic predator-prey system with mixed functional responses and Lévy jumps ⋮ Dynamics of a two-predator one-prey stochastic delay model with Lévy noise ⋮ Dynamical behavior of a one-prey two-predator model with random perturbations ⋮ Stationary distribution and global asymptotic stability of a three-species stochastic food-chain system ⋮ Population dynamical behavior of a two-predator one-prey stochastic model with time delay ⋮ Local and global stability analysis of a two prey one predator model with help ⋮ Qualitative analysis of a predator-prey system with limit cycles ⋮ Stationary distribution, extinction, density function and periodicity of an \(n\)-species competition system with infinite distributed delays and nonlinear perturbations ⋮ 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

• Persistence in models of three interacting predator-prey populations
• The stable coexistence of competing species on a renewable resource
• Graphical stability, enrichment, and pest control by a natural enemy

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