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

Rebelo, Carlota; Ortega, Victor

Applied Mathematics Letters, 145 (2023), Paper No. 108739

We present a stability result for
-periodic solutions of the periodic predator–prey Lotka–Volterra model. In 2021, R. Ortega gave a stability criteria in terms of the $L^1$
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 $L^\infty$
norm. The present work gives a $L^p$
criterion, building a bridge between the two previous results.