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

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Abstract

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. © 2009 Elsevier Inc. All rights reserved.

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Angulo, O., López-Marcos, J. C., López-Marcos, M. A., & Milner, F. A. (2010). A numerical method for nonlinear age-structured population models with finite maximum age. Journal of Mathematical Analysis and Applications, 361(1), 150–160. https://doi.org/10.1016/j.jmaa.2009.09.001

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