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    Modelo matemático para dinâmica de range sob uma ótica não linear
    (Universidade Federal de Goiás, 2023-07-17) Ferreira, Heury Sousa; Marco Junior, Paulo De; http://lattes.cnpq.br/2767494720646648; Marco Junior, Paulo De; Vieira, Ludgero Cardoso Galli; Petrene Junior, Miguel; Agelini, Ronaldo; Silva, Daniel de Brito Candido da
    This paper presents a model for the study of dynamic range built on mechanisms of spatiotemporal dynamics and nonlinear interaction of species. The approach proposes a reformulation of the principle of competitive exclusion (expanding it by adding the factor of overlap between the ranges of competing species), explores the weaknesses of the traditional model of Lotka-Volterra to the understanding of issues related to the invasion of species, shows that under circumstances of migration and the diffusion the range dynamics can be chaotic, and presents the derivation of an equation for estimating population size based on the degree of overlap of their range with the range of a species with which it interacts.