title: Age-density dependent population dispersal in RN.
abstract: We discuss an N-dimensional model for diffusion of age dependent populations. Let rho(x, t, a) be the population density at time t, age a and spatial position x, and let u(x, t) = [formula: see text] rho(x, t, a) da be the total population at t and x. The directed dispersal model to be discussed, with diffusion depending on the gradient of the total population, is [formula see text] With some assumptions on the form of the death and birth modulus, this system is reduced to a mixed parabolic-hyperbolic system containing the Porous Medium equation in RN. We discuss the existence, regularity and localization of the solution of this reduced system.
authors.affiliation: University of Connecticut, Storrs 06269-3009, USA. hernande@math.uconn.edu
authors.forename: G E
authors.initials: GE
authors.lastname: Hernández
mesh_terms: D017677:Age Distribution; D000818:Animals; D003643:Death; D005260:Female; D006801:Humans; D007743:Labor, Obstetric; D008297:Male; D008433:Mathematics; D008954:Models, Biological; D011157:Population Dynamics; D011247:Pregnancy