Global asymptotic stability for a class of many-variable volterra prey-predator systems

DOI10.1016/0362-546X(81)90108-5zbMath0485.92015WikidataQ115599076 ScholiaQ115599076MaRDI QIDQ3945987

Zhou Zhiming, Raymond M. Redheffer

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

treegraphlimit cycleloopasymptotic independenceLiapunov-LaSalle function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

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• Propagating fronts for competing species equations with diffusion
• Strange attractors
• Some mathematical problems concerning the ecological principle of competitive exclusion
• Periodic solutions for a prey-predator differential delay equation
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• The stability of generalized Volterra equations
• The Volterra model for three species predator-prey systems: Boundedness and stability
• Periodic solutions in n dimensions and Volterra equations
• A Class of Matrices Connected with Volterra Prey-Predator Equations
• Qualitative Problems in Matrix Theory

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