Heteroclinic cycles in the chemostat models and the winnerless competition principle

DOI10.1016/j.jmaa.2009.07.006zbMath1173.92034OpenAlexW2064328495MaRDI QIDQ1034579

Lih-Ing W. Roeger, Sze-Bi Hsu

Publication date: 6 November 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.07.006

zbMATH Keywords

heteroclinic cyclechemostatcompetitive systemcompetitive exclusionresource competitionwinnerless competition

Mathematics Subject Classification ID

Other game-theoretic models (91A40) Ecology (92D40) Ordinary differential equations (34-XX)

Cites Work

• Periodic coexistence of four species competing for three essential resources
• How Many Species Can Two Essential Resources Support?
• Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
• Nonlinear Aspects of Competition Between Three Species
• On the Asymmetric May--Leonard Model of Three Competing Species
• HETEROCLINIC CONTOURS IN NEURAL ENSEMBLES AND THE WINNERLESS COMPETITION PRINCIPLE
• The Theory of the Chemostat
• On the origin of reproducible sequential activity in neural circuits
• Winnerless competition between sensory neurons generates chaos: A possible mechanism for molluscan hunting behavior
• Periodic coexistence in the chemostat with three species competing for three essential resources