Existence and uniqueness for a stochastic age-structured population system with diffusion

Qimin Zhang; Chongzhao Han

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Existence and uniqueness for a stochastic age-structured population system with diffusion

机译：具有扩散的随机年龄结构人口系统的存在性和唯一性

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摘要

In this paper, a class of stochastic age-dependent population dynamic system with diffusion is introduced. Existence and uniqueness of strong solution for a stochastic age-dependent population dynamic system in Hilbert space are established. The analysis use Barkholder-Davis-Gundy's inequality, Ito's formula and some special inequalities for our purposes.

机译：本文介绍了一类具有扩散的随机年龄相关种群动态系统。建立了希尔伯特空间中基于年龄的随机种群动态系统强解的存在性和唯一性。该分析使用了Barkholder-Davis-Gundy不等式，Ito公式和一些特殊的不等式。

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来源
《Applied Mathematical Modelling》 |2008年第11期|2197-2206|共10页
作者
Qimin Zhang; Chongzhao Han;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
existence; uniqueness; stochastic age-structured population system; diffusion;

机译：存在;独特性年龄结构随机人口系统;扩散;

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1. Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump [J] . Chen H. Journal of Mathematical Physics . 2013,第8期

机译：存在和唯一性，具有扩散和泊松跳跃的随机年龄结构人口系统的吸引力
2. Exponential stability of numerical solutions to a stochastic age-structured population system with diffusion [J] . Zhang QM Journal of Computational and Applied Mathematics . 2008,第1a2期

机译：具有扩散的随机年龄结构种群系统数值解的指数稳定性
3. Convergence of numerical solutions to stochastic age-structured population system with diffusion [J] . Zhang QM, Han CZ Applied mathematics and computation . 2007,第2期

机译：具有扩散的随机年龄结构人口系统数值解的收敛性
4. Existence and Uniqueness for a Stochastic Age-dependent Population System with Diffusion Under non-Lipschitz Condition [C] . Yan Qin, Hui Li, Aihong Lin The proceedings of 2010 international conference on probability and statistics of the International Institute for General Systems Studies.;vol. 1.;Advances on probability and statistics . 2010

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5. Stochastic Beam Equation of Jump Type: Existence and Uniqueness [D] . Li, Ziteng 2018

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6. Selection Against Demographic Stochasticity in Age-Structured Populations [O] . Max Shpak 2007

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7. Exponential stability of numerical solutions to a stochastic age-structured population system with diffusion [O] . Zhang Qimin 2008

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8. Existence and Uniqueness of Solutions to the Boussinesq System with Nonlinear211 Thermal Diffusion. Modelling, Analysis and Simulation [R] . Diaz, J. I., Galiano, G. 1997

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Existence and uniqueness for a stochastic age-structured population system with diffusion

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