We solve the problem of the existence and uniqueness of coexistence states for the classical predator-prey model of Lotka-Volterra with diffusion in the scalar case.
@article{urn:eudml:doc:39927, title = {Existence and uniqueness for the predator-prey model with diffusion in the scalar case.}, journal = {Extracta Mathematicae}, volume = {6}, year = {1991}, pages = {115-118}, mrnumber = {MR1185355}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39927} }
López-Gómez, Julián; Pardo, Rosa. Existence and uniqueness for the predator-prey model with diffusion in the scalar case.. Extracta Mathematicae, Tome 6 (1991) pp. 115-118. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39927/