Stability analysis for Lotka-Volterra systems based on an algorithm of real root isolation

DOI10.1016/j.cam.2005.12.036zbMath1110.65064OpenAlexW2026822029MaRDI QIDQ869558

Yong Luo, Zhengyi Lu

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.036

zbMATH Keywords

algorithmstabilitydiscrete diffusionRouth-Hurwitz theorem

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
• Coexistence of any number of species in the Lotka-Volterra competitive system over two-patches
• Global stability in generalized Lotka-Volterra diffusion systems
• Global stability in Lotka-Volterra systems with diffusion
• Two limit cycles in three-dimensional Lotka-Volterra systems
• Associative differential operations
• On the Asymptotic Behavior of a Class of Deterministic Models of Cooperating Species
• Competing Subcommunities of Mutualists and a Generalized Kamke Theorem
• Numerically determining solutions of systems of polynomial equations
• Permanence and global stability for competitive Lotka-Volterra diffusion systems
• The chemical basis of morphogenesis
• Permanence and global stability for cooperative Lotka-Volterra diffusion systems
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS