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Rapidly converging numerical algorithms for models of population dynamics |
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| Authors: | Fabio A Milner Guglielno Rabbiolo |
| Institution: | (1) Dipartimento di Matematica, IIa Università di Roma, Italy;(2) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, USA;(3) Dipartimento di Matematica, IIa Università di Roma, I-00133, Rome, Italy |
| 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. |
| Keywords: | Numerical methods Population dynamics Finite difference methods |
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