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A note on stability criteria in the periodic Lotka–Volterra predator-prey model
dc.contributor.author | Ortega Blázquez, Víctor | |
dc.contributor.author | Rebelo, Carlota | |
dc.date.accessioned | 2023-06-28T07:30:30Z | |
dc.date.available | 2023-06-28T07:30:30Z | |
dc.date.issued | 2023-11 | |
dc.identifier.citation | V. Ortega, C. Rebelo, A note on stability criteria in the periodic Lotka-Volterra predator-prey model, Applied Mathematics Letters, Volume 145, 2023, 108739 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/82893 | |
dc.description.abstract | We present a stability result for T-periodic solutions of the periodic predator–prey Lotka–Volterra model. In 2021, R. Ortega gave a stability criteria in terms of the L1 norm of the coefficients of a planar linear system associated to the model. Previously, in 1994, Z. Amine and R. Ortega proved another stability criteria formulated in terms of the L∞ norm. The present work gives a Lp criterion, building a bridge between the two previous results. | es_ES |
dc.description.sponsorship | Grant “Margarita Salas” funded by the Spanish Ministerio de Universidades with NextGenerationEU funds of the European Union | es_ES |
dc.description.sponsorship | FCT projects UIDB/04621/2020 and UIDP/04621/2020 of CEMAT at FC-Universidade de Lisboa | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Population dynamics | es_ES |
dc.subject | Lyapunov stability criterion | es_ES |
dc.subject | Periodic planar systems | es_ES |
dc.subject | Periodic predator–prey model | es_ES |
dc.title | A note on stability criteria in the periodic Lotka–Volterra predator-prey model | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | https://doi.org/10.1016/j.aml.2023.108739 | |
dc.type.hasVersion | VoR | es_ES |
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