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
https://www.sciencedirect.com/science/article/pii/S0893965923001714
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.
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