一类非线性年龄等级结构种群模型的数值解法

Numerical Method of a Nonlinear Hierarchical Age-Structured Population Model

假设年轻个体在种群内部竞争中占优,建立一类非线性等级结构种群模型,它是具有全局耦合边界条件的偏微分-积分方程的初边值问题.提出该模型解的数值计算方法,证明算法的收敛性,并给出数值实验结果.

Based upon the assumption that the young individuals are more competitive than the old ones within a species,a class of nonlinear hierarchical age-structured population model is established in a form of IBVP of integro-partial differential equations.We propose an algorithm for the solutions to the model,analyze its convergence,and make some numerical experiments.