The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1982 · 77 citations · 10 references
Life SciencesEcologyDynamical SystemsPopulation EcologyBifurcation TheoryNonlinear DynamicsPopulation DynamicsPopulation Dynamics ModelingSpecies CoexistenceStability TheoryCompetition ModelsGrowth RatesIntrinsic Growth RateLotka-volterra Competition ModelLotka-volterra DynamicsPeriodic Solutions Of Differential EquationsSpecies CompetitionVolterra Equations
Abstract Sufficient conditions are obtained for the existence of a unique asymptotically stable periodic solution for the Lotka-Volterra two species competition system of equations when the intrinsic growth rates are periodic functions of time.
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Periodic Time-Dependent Predator-Prey Systems
J. M. Cushing · SIAM Journal on Applied Mathematics · 1977 · 257 citations
Two species competition in a periodic environment
J. M. Cushing · Journal of Mathematical Biology · 1980 · 177 citations
Life Sciences, Biology, Ecology +9