Plant R E, Wilson L T
J Math Biol. 1986;23(2):247-62. doi: 10.1007/BF00276960.
In the use of age structured population models for agricultural applications such as the modeling of crop-pest interactions it is often essential that the model take into account the distribution in maturation rates present in some or all of the populations. The traditional method for incorporating distributed maturation rates into crop and pest models has been the so-called "distributed delay" method. In this paper we review the application of the distributed delay formalism to the McKendrick equation of an age structured population. We discuss the mathematical properties of the system of ordinary differential equations arising out of the distributed delay formalism. We then discuss an alternative method involving modification of the Leslie matrix.
在将年龄结构种群模型用于农业应用（如作物 - 害虫相互作用建模）时，通常至关重要的是模型要考虑部分或所有种群中成熟率的分布情况。将分布的成熟率纳入作物和害虫模型的传统方法是所谓的“分布延迟”方法。在本文中，我们回顾了分布延迟形式主义在年龄结构种群的麦肯德里克方程中的应用。我们讨论了由分布延迟形式主义产生的常微分方程组的数学性质。然后我们讨论了一种涉及修改莱斯利矩阵的替代方法。
