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| 摘要: |
| 本文研究了一类具有年龄结构的随机种群系统的数值解问题.在线性增长条件下，利用Euler-Maruyama（EM）方法讨论了具有年龄结构的随机种群系统的数值解的p阶矩渐近有界性，并获得了渐近有界性准则.最后，通过数值算例对所得的结论进行了验证. |
| 关键词: 随机种群系统 线性增长条件 Euler-Maruyama方法 p阶矩渐近有界性 |
| DOI： |
| 分类号:O193 |
| 基金项目:国家自然科学基金资助（11461053；11261043）；宁夏高等学校基金资助（NGY20140152）. |
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| ASYMPTOTIC BOUNDEDNESS OF THE NUMERICAL SOLUTIONS OF STOCHASTIC AGE-DEPENDENT POPULATION SYSTEM |
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XIN Zhi-xian,ZHANG Qi-min,LI Qiang,HA Jin-cai
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| Abstract: |
| A class of stochastic age-dependent population system is studied in this paper. Under linear growth condition, we discuss the p-th asymptotic boundedness of the numerical solutions for stochastic age-dependent population system and establish a criterion for the asymptotical boundedness by using Euler-Maruyama (EM) method. Finally, numerical example is presented to demonstrate the accuracy of the conclusion. |
| Key words: stochastic population system linear growth condition Euler-Maruyama method p-th asymptotic boundedness |
