The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1984 · 16 citations · 9 references
Life SciencesBiologyEcologyDynamical SystemsEcosystem EcologyPopulation EcologyEcosystem FunctionEcosystem StabilityEcosystemsPredator-prey InteractionsSpecies CoexistenceSpecies InteractionsCompetition Between SpeciesCompetition DynamicsEcosystem DynamicsPeriodic Solutions Of Differential EquationsPopulation Dynamics With DelayPredator-prey DynamicsSpecies CompetitionStabilizing Mechanisms
Abstract Sufficient conditions are obtained for the existence of a unique linearly asymptotically stable positive periodic solution of an ecosystem model of two species competition in a periodic environment with time lags in interspecific interactions. It is shown that if the self-regulating intraspecific interaction effects are strong enough and act without time delays then time delays of any length in the interspecific interactions cannot destabilise an otherwise stable ecosystem in a periodic environment.
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Time lags and global stability in two-species competition
K. Gopalsamy · Bulletin of Mathematical Biology · 1980 · 56 citations
Life Sciences, Biology, Ecology +11