A note on stability criteria in the periodic Lotka–Volterra predator-prey model

Ortega Blázquez, Víctor; Rebelo, Carlota

doi:https://doi.org/10.1016/j.aml.2023.108739

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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