On the uniqueness and ordering of steady states of predator-prey systems

DOI10.1017/S0308210500022289zbMath0668.92012OpenAlexW2111809201WikidataQ115562897 ScholiaQ115562897MaRDI QIDQ3821993

Lige Li

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022289

zbMATH Keywords

uniquenessextreme solutionordering of strictly positive solutionspredator-prey interacting systems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Population dynamics (general) (92D25) Elliptic equations and elliptic systems (35J99)

Related Items (8)

Positive steady states for a prey-predator model with population flux by attractive transition ⋮ Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition ⋮ Coexistence regions in Lotka-Volterra models with diffusion ⋮ The dynamics of an eco-epidemiological prey-predator model with infectious diseases in prey ⋮ Some uniqueness and exact multiplicity results for a predator-prey model ⋮ Competition in a chemostat with Beddington-DeAngelis growth rates and periodic pulsed nutrient ⋮ \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model ⋮ Global attractivity in a periodic chemostat with general uptake functions

Cites Work

• Unnamed Item
• On nonlinear reaction-diffusion systems
• Stability and bifurcation of steady-state solutions for predator-prey equations
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• A general monotone scheme for elliptic systems with applications to ecological models
• Nontrivial solutions of predator–prey systems with small diffusion
• Monotone schemes for semilinear elliptic systems related to ecology
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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