Modeling interference on interference competition models
Authors
Vera García, María del Carmen; Marvá Ruiz, Marcos; Escalante Fernández, René Gregorio; García Garrido, Víctor JoséPublisher
Universitat Politècnica de València
Date
2023-07-11Funders
Universidad de Alcalá
Bibliographic citation
Vera García, M.C. [et al.], 2023, "Modeling interference on interference competition models", in XXV Mathematical Modelling in Engineering & Human Behaviour 2023: Proceedings, pp. 413-421.
Keywords
Interference competition
Interfering time
Species competition
Description / Notes
XXV Mathematical Modelling in Engineering & Human Behaviour 2023 Conference, 11/07/2023-14/07/2023, Valencia, España.
Project
info:eu-repo/grantAgreement/UAH//PIUAH22%2FCC-041
Document type
info:eu-repo/semantics/conferenceObject
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://imm.webs.upv.es/jornadas/2023/home.htmlRights
Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
© 2023 Universitat Politècnica de València
Access rights
info:eu-repo/semantics/openAccess
Abstract
Paradoxically, prior interference competition models did not account for the effect of both intra- and inter-species interference. We do so by adapting the works of Beddington and DeAngelis on predator-prey models to the classical Gause interference competition model. The established theory estates that global species coexistence (i.e., regardless of the initial amount of individuals) is only possible, roughly, when the ratio of the inter-species effects over the intra-species effects is less than 1. This feature was intended to support the Gause's Competitive Exclusion Principle (two species competing for the same resource can not -hardly- coexist) and the Coexistence Paradox (this hypothesis is at odds with Nature). We have found that taking into account intra-species interference in competition allows competing species to global coexistence even if the above mentioned ratio is larger than 1. This feature was not allowed in previous works on interference competition that introduced herd-type behavior, the time spent in competition or group defense. We have also found multi-stability scenarios not allowed by the classical model [8] but found in the above mentioned references which, in turn, here are feasible in a wider range of the parameters space due exclusively to intra-species interference when competing heterospecifics. Therefore, accounting for interference contributes to unveil the Paradox of coexistence.
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Modeling_Vera_MMEHB_2023.pdf | 2.596Mb |
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