On the convexity of the carrying simplex of planar Lotka-Volterra competitive systems.

DOI10.1016/S0096-3003(00)00063-1zbMath1036.34057OpenAlexW2067199903WikidataQ126773232 ScholiaQ126773232MaRDI QIDQ1855043

Antonio R. Tineo

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00063-1

zbMATH Keywords

convexityseparatrixcompetitive Lotka-Volterra system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• Unnamed Item
• Competition systems with periodic coefficients: A geometric approach
• The \(C^ 1\) property of carrying simplices for a class of competitive systems of ODEs
• Asymptotic classification of the positive solutions of the nonautonomous two-competing species problem
• On the convexity of the carrying simplex of planar Lotka-Volterra competitive systems.
• The periodic predator-prey Lotka-Volterra model
• Systems of differential equations which are competitive or cooperative: III. Competing species

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