Global stability of a two-species piecewise linear Volterra ecosystem

DOI10.1016/0893-9659(92)90007-VzbMath0761.92040WikidataQ127015826 ScholiaQ127015826MaRDI QIDQ1206205

Caroline N. Haddad, George J. Habetler

Publication date: 1 April 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

uniquenessglobal asymptotic stabilitynonnegative equilibriumsteady-state problemgeneralized linear complementarity problemtwo-species systemgeneralized linear Volterra modelpiecewise linear Volterra modelsystem of autonomous differential equations

Mathematics Subject Classification ID

Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05) Basic linear algebra (15A99) Stability theory for ordinary differential equations (34D99)

Related Items (4)

Existence theory and \(Q\)-matrix characterization for the generalized linear complementarity problem ⋮ An algorithm to solve the generalized linear complementarity problem with a vertical block z-matrix ⋮ Existence theory and \(Q\)-matrix characterization for the generalized linear complementarity problem: Revisited ⋮ Stability of piecewise linear generalized Volterra discrete diffusion systems with patches

Cites Work

• Existence of stable equilibrium point for dynamical systems of Volterra type
• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• Sector stability of a complex ecosystem model
• The stability of generalized Volterra equations
• Existence and uniqueness of solutions for the generalized linear complementarity problem
• A generalization of the linear complementarity problem

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