1. Stochastic population models with interacting species
- Author
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Di Crescenzo, A., Virginia Giorno, Nobile, A. G., Ricciardi, L. M., A., DI CRESCENZO, V., Giorno, A. G., Nobile, and Ricciardi, LUIGI MARIA
- Subjects
Competitive Behavior ,Stochastic Processes ,Species competition ,Stochastic model ,Population model ,Population Dynamics ,Animals ,Numerical Analysis, Computer-Assisted ,Mathematical Computing ,Models, Biological ,Demography - 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.