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

2023. Or, Re.pdf (881.3Kb)

Identificadores

URI: https://hdl.handle.net/10481/82893

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

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Editorial

Elsevier

Materia

Population dynamics

Lyapunov stability criterion

Periodic planar systems

Periodic predator–prey model

Fecha

2023-11

Referencia bibliográfica

V. Ortega, C. Rebelo, A note on stability criteria in the periodic Lotka-Volterra predator-prey model, Applied Mathematics Letters, Volume 145, 2023, 108739

Patrocinador

Grant “Margarita Salas” funded by the Spanish Ministerio de Universidades with NextGenerationEU funds of the European Union; FCT projects UIDB/04621/2020 and UIDP/04621/2020 of CEMAT at FC-Universidade de Lisboa

Resumen

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.

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