Abstract.
A stochastic model concerning the evolution of a multi-species population is presented assuming species competition for a habitat. The model takes into account colonization, death and replacement for all individuals. Two cases are treated: (i) colonizations follow the hierarchic rule by which species of lower rank are always outcompeted by those of higher rank and (ii) there are no privileged species. In both cases, under suitable assumptions, a thorough description of the evolution of the population is obtained. The two models are finally compared and the corresponding evolutionary behaviors of the populations are discussed.
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Received: 7 February 1997 / Revised version: 24 February 2000 / Published online: 5 December 2000
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ID="*" This work has been performed within a joint cooperation agreement between Japan Science and Technology Corporation (JST) and Università di Napoli “Federico II”, under partial support by National Research Council (CNR) and by Ministry of University and of Scientific and Technological Research (MURST).
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Di Crescenzo, A., Giorno, V., Nobile, A. et al. Stochastic population models with interacting species . J Math Biol 42, 1–25 (2001). https://doi.org/10.1007/PL00000070
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DOI: https://doi.org/10.1007/PL00000070