A note on stability criteria in the periodic Lotka–Volterra predator-prey model
MetadataShow full item record
Population dynamicsLyapunov stability criterionPeriodic planar systemsPeriodic predator–prey model
V. Ortega, C. Rebelo, A note on stability criteria in the periodic Lotka-Volterra predator-prey model, Applied Mathematics Letters, Volume 145, 2023, 108739
SponsorshipGrant “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
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.