An extension of some classic results on species competition in structured habitats

H. del Faro Odi, J. Leonel Torres

Abstract


We extend some results on population dynamics in a structured habitat, obtained in a classic paper by J.G. Skellam [1], regarding competition between two species differing in fitness, in a habitat with two unequal sectors. Using the discrete spatial and temporal method introduced by him, we generalize his results to an arbitrary number of species ranked according to fitness, competing in a habitat with any number of sectors. We show particular instances of complete species segregation, and of segregation in some sectors, and coexistence in others. We also consider the case of two species, when fitness superiority is not absolute in the sense originally defined by Skellam. Then we briefly ponder the relevance of his discrete method to subsequent research, based on a survey of the fundamental literature on this subject.

Keywords


Ecosystems; species propagation; structured habitat; metapopulation; niche

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REVISTA MEXICANA DE FÍSICA, year 67, issue 2, March-April 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, March 1st., 2021.

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