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Join forces or cheat: evolutionary analysis of a consumer-resource system

Andrei R. Akhmetzhanov 1, 2 Ludovic Mailleret 2, 3 Frédéric Grognard 2 Pierre Bernhard 2
2 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : In this contribution we consider a seasonal consumer-resource system and focus on the evolution of consumer behavior. It is assumed that consumer and resource individuals live and interact during seasons of fixed lengths separated by winter periods. All individuals die at the end of the season and the size of the next generation is determined by the the consumer-resource interaction which took place during the season. Resource individuals are assumed to reproduce at a constant rate, while consumers have to trade-off between foraging for resources, which increases their reproductive abilities, or reproducing. Firstly, we assume that consumers cooperate in such a way that they maximize each consumer's individual fitness. Secondly, we consider the case where such a population is challenged by selfish mutants who do not cooperate. Finally we study the system dynamics over many seasons and show that mutants eventually replace the original cooperating population, but are finally as vulnerable as the initial cooperating consumers.
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Andrei R. Akhmetzhanov, Ludovic Mailleret, Frédéric Grognard, Pierre Bernhard. Join forces or cheat: evolutionary analysis of a consumer-resource system. Pierre Cardaliaguet and Ross Cressman. Advances in Dynamic Games, Springer, pp.73-95, 2013, Annals of the International Society of Dynamic Games; v. 12, ⟨10.1007/978-0-8176-8355-9_4⟩. ⟨hal-00848377⟩

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