一类非线性毒素依赖大小结构种群模型解的存在唯一性

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2022-09-30 DOI:10.5206/mase/15074

Y. Li, Qihua Huang

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摘要

在本文中，我们研究了一个具有非线性繁殖、生长和死亡率的毒素介导的大小结构种群模型。利用特征方法和收缩映射论证，建立了模型解的存在唯一性。我们还证明了解对初始条件的连续依赖性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The existence and uniqueness of solutions of a nonlinear toxin-dependent size-structured population model

In this paper, we study a toxin-mediated size-structured population model with nonlinear reproduction, growth, and mortality rates. By using the characteristic method and the contraction mapping argument, we establish the existence-uniqueness of solutions to the model. We also prove the continuous dependence of solutions on initial conditions.

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