The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1980 · 28 citations · 18 references
Natural SciencesEcologyMathematicsDynamical SystemsPopulation EcologyBifurcation TheoryChaos TheoryLimit CyclesNonlinear DynamicsStability TheoryTime Delay EffectsBifurcation Of Limit CyclesHopf BifurcationHopf Bifurcation With DelayLimit Cycle DynamicsLimit Cycle OscillationsPeriodic Solutions Of Differential EquationsSpecies CompetitionStability Of Limit Cycles
Abstract The existence of stable periodic oscillatory solutions in a two species competition model with time delays is established using a combination of Hopf-bifurcation theory and the asymptotic method of Krylov, Bogoliuboff and Mitropoisky.
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STABILITY AND COMPLEXITY IN MODEL ECOSYSTEMS
Thomas W. Schoener · Evolution · 1974 · 2.2K citations · Full text
Lecture Notes in Biomathematics
V.S. Vaidyanathan · Bioelectrochemistry and Bioenergetics · 1978 · 678 citations