Global Stability for the N-Species Lotka-Volterra Tree Systems of Interacting Population-Diffusion Equations

DOI10.1080/1726037X.2004.10698474zbMath1064.35077OpenAlexW2044219671MaRDI QIDQ4665598

Xin-Hua Ji, Wolfgang Sprössig

Publication date: 11 April 2005

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2004.10698474

zbMATH Keywords

predator-prey modelcompetition modelcooperation modelinvariant region method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• The stability of generalized Volterra equations
• Quaternionic analysis and elliptic boundary value problems
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