Fernández Rincón, SergioLópez Gómez, Julián2024-01-092024-01-092021S. Fernández-Rincón, J. López-Gómez, The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics, Nonlinear Analysis: Real World Applications 60 (2021) 103285. https://doi.org/10.1016/j.nonrwa.2020.103285.1468-121810.1016/j.nonrwa.2020.103285https://hdl.handle.net/20.500.14352/91937This paper infers from a generalized Picone identity the uniqueness of the stable positive solution for a class of semilinear equations of superlinear indefinite type, as well as the uniqueness and global attractivity of the coexistence state in two generalized diffusive prototypes of the symbiotic and competing species models of Lotka–Volterra. The optimality of these uniqueness theorems reveals the tremendous strength of the Picone identity.engjournal articlehttps://doi.org/10.1016/j.nonrwa.2020.103285restricted accessUniqueness for coexistence statesPicone identitySuperlinear indefinite problemsDiffusive symbiotic modelsDiffusive competitive modelsGlobal dynamicsEcuaciones diferenciales1206.12 Ecuaciones Diferenciales Ordinarias