Numerical simulation of Verhulst-type kinetics with Poisson white noise

被引：0
|
作者：
Tan, Jianguo [1 ]
Wang, Hongli [1 ]
Yang, Minyue [2 ]
机构：
[1] Tianjin Univ, Dept Mech Engn, Tianjin 300072, Peoples R China
[2] Tianjin Petr Vocat & Tech Coll, Dept Elect Engn, Tianjin, Peoples R China
来源：
2009 IEEE 16TH INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS 1 AND 2, PROCEEDINGS | 2009年
基金：
中国国家自然科学基金;
关键词：
Numerical simulation; Verhulst-type system Poisson white noise; Gaussian white noise; NONLINEAR-SYSTEMS; DYNAMIC-SYSTEMS;
D O I：
10.1109/ICIEEM.2009.5344315
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new numerical method is developed for finding response samples for a Verhulst-type system subjected to Poisson white noise. The method based on the three following steps: first, zero-one jump law was used to generate the sample paths of Poisson white noise, which worked as the system inputs, then the classical Heun method was used to calculate the system outputs corresponding to the generated input samples, and last we estimated the response statistics from repeating sample outputs by previous steps. The accuracy and efficiency of the proposed method are examined by Verhulst-type systems driven by Poisson white noise.
引用
收藏
页码：1774 / +
页数：2
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