RT Journal Article T1 The Picone identity: a device to get optimal uniqueness results and global dynamics in Population Dynamics A1 Fernández Rincón, Sergio A1 López Gómez, Julián AB This 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. PB Elsevier SN 1468-1218 YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/91937 UL https://hdl.handle.net/20.500.14352/91937 LA eng NO S. 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. NO Ministerio de Ciencia, Innovación y Universidades (España) NO Ministerio de Educación, Formación Profesional y Deportes (España) DS Docta Complutense RD 4 abr 2025