| 与年龄相关的随机种群系统分裂倒向Euler法的几乎必然指数稳定性 |
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| 作者单位： | ;1.贵州财经大学商务学院;2.北方民族大学数学与信息科学学院 |
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| 摘 要： | 将分裂倒向Euler法应用于随机种群系统.在一定的假设条件下,首先给出解的存在唯一性,再利用离散半鞅收敛定理,建立了分裂倒向Euler法对应数值解的几乎必然指数稳定性的判定准则.最后,通过数值例子对所给的结论进行了验证.
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| 关 键 词： | 随机种群系统 指数稳定 分裂倒向Euler法 半鞅收敛定理 |
Almost Sure Exponential Stability of The Split-step Backward Euler Method for Stochastic Age-Structured Population System |
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| Affiliation: | ,Business Department,Guizhou University of Finance and Economics,School of Mathematics and Information Science,North University for Nationalities |
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| Abstract: | In this paper,the split-step backward Euler method with high precision is applied to stochastic age-structured population system.Under the certain assumed condition,the existence and uniqueness of the solution are given.Using discrete semi-martingale convergence theorem,some criterion are established for almost sure exponential stability of numerical solution corresponding to split-step backward Euler method.Finally,we give a stochastic age-structured population equation example to conclude this research.Under certain assumptions,the existence and uniqueness of the solution are given,and the convergence theorem of the discrete semi martingale is obtained, |
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| Keywords: | stochastic population system exponential stability split-step backward Euler method semi-martingale convergence theorem |
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