New conditions on the existence and stability of positive periodic solutions for \(n\)-species Lotka-Volterra systems with deviating arguments

DOI10.1186/1687-1847-2014-93zbMath1417.34169OpenAlexW2169629406WikidataQ59322837 ScholiaQ59322837MaRDI QIDQ1720219

Xianqiang Yang

Publication date: 8 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-93

zbMATH Keywords

positive periodic solutionsLotka-Volterra systemsglobal asymptotic stabilitycoincidence degree

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems in biology (37N25) Ecology (92D40) Periodic solutions to functional-differential equations (34K13) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

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• Delay differential equations: with applications in population dynamics
• Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
• Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments
• Coincidence degree, and nonlinear differential equations
• New Conditions on the Existence and Stability of Periodic Solution in Lotka–Volterra's Population System
• On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments

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