The choice of age as a physiological parameter to structure a population and to describe its dynamics involves the election of the life-span. The analysis of an unbounded life-span age-structured population model is motivated because, not only new models continue to appear in this framework, but also it is required by the study of the asymptotic behaviour of its dynamics. The numerical integration of the corresponding model is usually performed in bounded domains through the truncation of the age life-span. Here, we propose a new numerical method that avoids the truncation of the unbounded age domain. It is completely analyzed and second order of convergence is established. We report some experiments to exhibit numerically the theoretical results and the behaviour of the problem in the simulation of the evolution of the Nicholson’s blowflies model.

选择年龄作为构建种群和描述其动态的生理参数涉及到寿命的选择。对无界寿命年龄结构人口模型进行分析是因为，不仅新模型不断出现在该框架中，而且研究其动力学的渐近行为也需要它。相应模型的数值积分通常通过截断年龄寿命在有界域中进行。在这里，我们提出了一种新的数值方法，可以避免无界年龄域的截断。对其进行了完整的分析，并建立了二阶收敛。我们报告了一些实验，以数值方式展示了在模拟 Nicholson 的苍蝇模型演变过程中的理论结果和问题的行为。