A general model of size-dependent population dynamics with nonlinear growth rate

A general model of size-dependent population dynamics with nonlinear growth rate
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DOI:
10.1016/j.jmaa.2004.05.004
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发表时间:
2004-09
影响因子:
1.3
通讯作者:
N. Kato
N. Kato
中科院分区:
数学3区
文献类型:
--
作者:
N. Kato

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研究了一类具有非线性增长率的大小依赖型种群动力学模型。利用Schauder不动点定理证明了局部解的存在性。在附加条件下,还建立了对初始数据的唯一性和连续依赖性。
We study a general model of size-dependent population dynamics with nonlinear growth rate. The existence of a local solution is shown by using Schauder's fixed point theorem. Uniqueness and continuous dependence on initial data are also established under additional conditions.