Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments

DOI10.1016/j.mcm.2009.10.011zbMath1200.34102OpenAlexW2005587623WikidataQ111265010 ScholiaQ111265010MaRDI QIDQ984235

Xiang Lv, Ping Yan, Shiping Lu

Publication date: 16 July 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.10.011

zbMATH Keywords

Lyapunov functionpositive periodic solutionsKrasnoselskii's fixed point theoremcompetitor-competitor-mutualist Lotka-Volterra systems

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (5)

Periodic solutions for \(n\)-species Lotka-Volterra competitive systems with pure delays ⋮ Dynamics of a stochastic predator–prey model with mutual interference ⋮ Dynamics in a ratio-dependent Lotka-Volterra competitive-competitive-cooperative system with feedback controls and delays ⋮ Delay-induced oscillations in a competitor-competitor-mutualist Lotka-Volterra model ⋮ Dynamical behavior for a class of delayed competitive-mutualism systems

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