Rapidly converging numerical algorithms for models of population dynamics.
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.
Milner
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Dipartimento di Matematica, Ila Università di Roma, Italy.
Rabbiolo
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D000367:Age Factors; D000465:Algorithms; D000818:Animals; D005260:Female; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D011157:Population Dynamics; D014481:United States