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Long-range interactions and evolutionary stability in a predator-prey system.

Erik M Rauch·Yaneer Bar-Yam
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Abstract

Evolving ecosystems often are dominated by spatially local dynamics, but many also include long-range transport that mixes spatially separated groups. The existence of such mixing may be of critical importance since research shows spatial separation may be responsible for long-term stability of predator-prey systems. Complete mixing results in rapid global extinction, while spatial systems achive long term stability due to an inhomogeneous spatial pattern of local extinctions. We consider the robustness of a generic evolving predator-prey or host-pathogen model to long-range mixing and find a transition to global extinction at nontrivial values implying that even if significant mixing already exists, a small amount of additional mixing may cause extinction. Our results are relevant to the global mixing of species due to human intervention and to global transport of infectious disease.

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AnimalsBiological EvolutionCompetitive BehaviorComputer SimulationEcosystemFood ChainGame TheoryGenetic VariationGenetics, PopulationHumansModels, BiologicalPopulation DynamicsPredatory BehaviorSurvival RateTime FactorsJournal Article

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Erik M Rauch, Yaneer Bar-Yam. 2006-02-27. Long-range interactions and evolutionary stability in a predator-prey system.. https://doi.org/10.1103/physreve.73.020903

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