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SURVIVAL AND EXTINCTION IN THE REPLICATOR MODEL: DYNAMICS AND STATISTICS

Sebastián Bouzat and Damián H. Zanette
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Sebastián Bouzat: Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400 San Carlos de Bariloche, Río Negro, Argentina
Damián H. Zanette: Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400 San Carlos de Bariloche, Río Negro, Argentina

Advances in Complex Systems (ACS), 2003, vol. 06, issue 02, 223-240

Abstract: We study the multi-species replicator model with linear fitness and random fitness matrices of various classes. By means of numerical resolution of the replicator equations, we determine the survival probability of a species in terms of its average interaction with the rest of the system. The role of the interaction pattern of the ecosystem in defining survival and extinction probabilities is emphasized.

Keywords: Replicator dynamics; ecosystem models; survival strategy (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0219525903000815

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