Asymptotic behaviour of solutions of Lotka-Volterra systems

DOI10.1016/j.nonrwa.2005.03.022zbMath1113.34036OpenAlexW1986842978MaRDI QIDQ859562

E. Wawiórko, J. S. Baris, P. J. Baris

Publication date: 16 January 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.03.022

zbMATH Keywords

matrix Riccati equationcompetitive exclusion principlefinite escape time

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Envelopes of holomorphy (32D10)

Related Items (4)

On blow-up solutions for systems of semilinear heat equations with quadratic nonlinearities ⋮ On blow-up solutions of polynomial Kolmogorov systems ⋮ Partial extinction, permanence and global attractivity in nonautonomous \(n\)-species Lotka-Volterra competitive systems with impulses ⋮ Blow-up solutions of cubic differential systems

Cites Work

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• Extension of linear-quadratic control, optimization and matrix theory
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• Nonautonomous Lotka-Volterra systems. I
• On a property of nonautonomous Lotka–Volterra competition model
• Necessary and sufficient average growth in a Lotka–Volterra system
• PERIODIC SOLUTIONS OF THE RICCATI EQUATION IN BANACH SPACES
• Existence and uniqueness of contractive solutions of some Riccati equations
• Lotka-Volterra systems with constant interaction coefficients

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