Patterns and localized structures in population dynamics.
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.
Clerc
M G
MG
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
Escaff
D
D
Kenkre
V M
VM
D001703:Biophysics / Q000379:methods*; D005583:Fourier Analysis; D015233:Models, Statistical; D008962:Models, Theoretical; D009991:Oscillometry; D011157:Population Dynamics; D012984:Software