A numerical method for nonlinear age-structured population models with finite maximum age

作者：Angulo O^*; Lopez Marcos J C; Lopez Marcos M A; Milner F A

来源：Journal of Mathematical Analysis and Applications, 2010, 361(1): 150-160.

DOI：10.1016/j.jmaa.2009.09.001

• Nonlinear age-structured population model
• Finite maximum age
• Numerical methods

We propose a new numerical method for the approximation of solutions to a non-autonomous form of the classical Gurtin-MacCamy population model with a mortality rate that is the sum of an intrinsic age-dependent rate that becomes unbounded as the age approaches its maximum value, plus a non-local, non-autonomous, bounded rate that depends on some weighted population size. We prove that our new quadrature based method converges to second-order and we show the results of several numerical simulations.

• 出版日期2010-1-1