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-  2018 

具有年龄结构随机种群系统数值解的渐近有界性
ASYMPTOTIC BOUNDEDNESS OF THE NUMERICAL SOLUTIONS OF STOCHASTIC AGE-DEPENDENT POPULATION SYSTEM

Keywords: 随机种群系统 线性增长条件 Euler-Maruyama方法 p阶矩渐近有界性
stochastic population system linear growth condition Euler-Maruyama method p-th asymptotic boundedness

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Abstract:

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.
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

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