Rapidly converging numerical algorithms for models of population dynamics (Q1194240)

The authors propose finite difference methods to approximate the age distributions of populations for some models of population dynamics. First the linear model of McKendrick and von Foerster is discretized, and for the one-sex model methods of second and fourth order (depending on regularity of the birth functions and the solutions) are proposed. Then, the same investigations are accomplished for the nonlinear, two-sex, Gurtin-MacCamy model and second order convergence is obtained. Finally, numerical simulation on some examples justifies the good performance of the methods.