Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorFederal University of Juiz de Fora-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversity of the Republic-
Autor(es): dc.contributorCentro Universitario Regional Este- CURE-
Autor(es): dc.creatorCammarota, Denise-
Autor(es): dc.creatorMonteiro, Noemi Zeraick-
Autor(es): dc.creatorMenezes, Rafael-
Autor(es): dc.creatorFort, Hugo-
Autor(es): dc.creatorSegura, Angel M.-
Data de aceite: dc.date.accessioned2025-08-21T21:30:17Z-
Data de disponibilização: dc.date.available2025-08-21T21:30:17Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s00285-023-02012-5-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/301199-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/301199-
Descrição: dc.descriptionThe Lotka–Volterra competition model (LVCM) is a fundamental tool for ecology, widely used to represent complex communities. The Allee effect (AE) is a phenomenon in which there is a positive correlation between population density and fitness, at low population densities. However, the interplay between the LVCM and AE has been seldom analyzed in multispecies models. Here, we analyze the mathematical properties of the LVCM + AE, investigating the coexistence of species interacting through neutral diffuse competition, their equilibria and stable points. Minimum viable population density arises as the threshold below which species go extinct, characteristic of strong Allee effects. Then, by imposing relationships of main parameters to body size, i.e. allometric scaling, we derive a general solution to the size-scaling maximum and minimum expected density under plausible scenarios. The scaling of maximum population density is consistent with the literature, but we also provide novel predictions on the scaling of the lower limit to population density, a critical value for conservation science. The resulting framework is general and yields results that increase our current understanding of how complex demographic processes can be linked to ubiquitous ecological patterns.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionAgencia Nacional de Investigación e Innovación-
Descrição: dc.descriptionInstitute of Theoretical Physics São Paulo State University, R. Dr. Bento Teobaldo Ferraz, 271, SP-
Descrição: dc.descriptionPostgraduate Program in Computational Modeling Federal University of Juiz de Fora, R. José Lourenço Kelmer, MG-
Descrição: dc.descriptionEcology Department São Paulo University, Rua do Matão, 321, SP-
Descrição: dc.descriptionFaculty of Sciences University of the Republic, Iguá 4225-
Descrição: dc.descriptionModelización Estadística de Datos e Inteligencia Artificial- MEDIA Centro Universitario Regional Este- CURE, Ruta 9 km 210-
Descrição: dc.descriptionInstitute of Theoretical Physics São Paulo State University, R. Dr. Bento Teobaldo Ferraz, 271, SP-
Descrição: dc.descriptionFAPESP: 2016/01343-7-
Descrição: dc.descriptionAgencia Nacional de Investigación e Innovación: FCE 3 2020 1 162710-
Idioma: dc.languageen-
Relação: dc.relationJournal of Mathematical Biology-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectAllee effect-
Palavras-chave: dc.subjectAllometric scaling-
Palavras-chave: dc.subjectCoexistence-
Palavras-chave: dc.subjectLotka–Volterra competition model-
Palavras-chave: dc.subjectSize–density relationship-
Palavras-chave: dc.subjectStability-
Título: dc.titleLotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance-
Tipo de arquivo: dc.typelivro digital-
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