title: Patterns and localized structures in population dynamics.
abstract: Patterns, fronts, and localized structures of a prototypical model for population dynamics interaction are studied. The physical content of the model is the coexistence of a simple random walk for the motion of the individuals with a nonlinearity in the competitive struggle for resources which simultaneously stresses the Allee effect and interaction at a distance. Mathematically, the model is variational and exhibits coexistence between different stable extended states. Solutions are obtained, the phase diagram is constructed, and the emergence of localized structures is investigated.
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
authors.forename: M G
authors.initials: MG
authors.lastname: Clerc
authors.forename: D
authors.initials: D
authors.lastname: Escaff
authors.forename: V M
authors.initials: VM
authors.lastname: Kenkre
mesh_terms: D001703:Biophysics / Q000379:methods*; D005583:Fourier Analysis; D015233:Models, Statistical; D008962:Models, Theoretical; D009991:Oscillometry; D011157:Population Dynamics; D012984:Software