| 一类非线性年龄等级结构种群模型的数值解法 |
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| 引用本文： | 何泽荣,张智强,裘哲勇.一类非线性年龄等级结构种群模型的数值解法[J].数学物理学报(A辑),2020(2):515-526. |
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| 作者姓名： | 何泽荣 张智强 裘哲勇 |
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| 作者单位： | 杭州电子科技大学数学系 |
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| 基金项目： | 国家自然科学基金(11871185);浙江省自然科学基金(LY18A010010)。 |
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| 摘 要： | 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.
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| 关 键 词： | 年龄等级 种群模型 数值方法 离散Gronwall不等式 收敛性 |
Numerical Method of a Nonlinear Hierarchical Age-Structured Population Model |
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| He Zerong,Zhang Zhiqiang,Qiu Zheyong.Numerical Method of a Nonlinear Hierarchical Age-Structured Population Model[J].Acta Mathematica Scientia,2020(2):515-526. |
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| Authors: | He Zerong Zhang Zhiqiang Qiu Zheyong |
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| Institution: | (Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018) |
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| Abstract: | 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. |
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| Keywords: | Hierarchy of age Population model Numerical method Discrete Gronwall’s inequality Convergence |
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