title: Rapidly converging numerical algorithms for models of population dynamics.
abstract: We propose algorithms for the approximation of the age distributions of populations modeled by the McKendrick-von Foerster and the Gurtin-MacCamy systems both in one- and two-sex versions. For the one-sex model methods of second and fourth order are proposed. For the two-sex model a second order method is described. In each case the convergence is demonstrated. Several numerical examples are given.
authors.affiliation: Dipartimento di Matematica, Ila Università di Roma, Italy.
authors.forename: F A
authors.initials: FA
authors.lastname: Milner
authors.forename: G
authors.initials: G
authors.lastname: Rabbiolo
mesh_terms: D000367:Age Factors; D000465:Algorithms; D000818:Animals; D005260:Female; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D011157:Population Dynamics; D014481:United States