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Considering unbounded mortality rates causes difficulties in the numerical simulation of finite life‐span population models. In this work, a suitable numerical technique is introduced in order to approximate the density… Click to show full abstract
Considering unbounded mortality rates causes difficulties in the numerical simulation of finite life‐span population models. In this work, a suitable numerical technique is introduced in order to approximate the density solution of this kind of problems. This procedure isolates the principal complication for the problem: the approximation of the survival probability. Therefore, assuming second‐order approximations to the survival probability, we propose a numerical method for the age‐structured population model with the same order of convergence. The accuracy of the numerical approximations is proved and numerically illustrated.
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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