The coexistence of a community of species with limited competition

DOI10.1006/jmaa.1997.5711zbMath0895.34038OpenAlexW2008841427MaRDI QIDQ1378620

Caifeng Tu, Ji-Fa Jiang

Publication date: 21 September 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5711

zbMATH Keywords

Lotka-Volterra systemscoexistencesystems of community of species

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Dynamical systems and ergodic theory (37-XX)

Related Items (max. 100)

On global dynamics of type-K competitive Kolmogorov differential systems ⋮ Type-\(K\) exponential ordering with application to delayed Hopfield-type neural networks ⋮ On existence and uniqueness of a carrying simplex in Kolmogorov differential systems ⋮ Stable coexistence and bi-stability for competitive systems on ordered Banach spaces ⋮ Competitive systems with migration and the Poincaré-Bendixson theorem for a 4-dimensional case ⋮ Discrete infinite-dimensional type-\(K\) monotone dynamical systems and time-periodic reaction--diffusion systems.

Cites Work

• Asymptotic behavior of solutions to single loop positive feedback systems
• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• Competing Subcommunities of Mutualists and a Generalized Kamke Theorem
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets

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