Join forces or cheat: evolutionary analysis of a consumer-resource system
نویسندگان
چکیده
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 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. Andrei R. Akhmetzhanov McMaster University, Department of Biology (Theoretical Biology Lab), Life Sciences Building, 1280 Main St. West, Hamilton ON Canada L8S 4K1 & INRIA Sophia Antipolis – Méditerranée (Project BIOCORE), 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis, France, e-mail: [email protected] Frédéric Grognard INRIA Sophia Antipolis – Méditerranée (Project BIOCORE), 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis, France, e-mail: [email protected] Ludovic Mailleret INRA Sophia Antipolis (UR880), 400 route des Chappes, BP 167, 06903 Sophia Antipolis, France e-mail: [email protected] Pierre Bernhard INRIA Sophia Antipolis – Méditerranée (Project BIOCORE), 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis, France, e-mail: [email protected] 1 ha l-0 08 48 37 7, v er si on 1 26 J ul 2 01 3 Author manuscript, published in "Advances in Dynamic Games Springer (Ed.) (2013) 73-95" DOI : 10.1007/978-0-8176-8355-9_4
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