两种群随机模型的两种解法  

Two kinds of solution of the stochastic model with two populations

作　　者：张静[1] 李宝毅[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2010年第3期7-11,共5页Journal of Tianjin Normal University：Natural Science Edition

基　　金：天津市教委科技发展基金资助项目(20070405)

摘　　要：考虑一个具体的关于两个竞争种群的模型,理论推导出两种群的种群期望的微分方程组.利用微分方程法和随机模拟法得到10,20,40 a后两种群的数量概率,分析并比较了微分方程法和随机模拟法得到的稳定性结果与确定性模型中的稳定性结果.By analyzing the model about two competing populations,the differential equations set about the expectations of two populations is derived.Pictures of the probabilities of two populations＇ number are drawn by differential equation method and stochastic simulation about 10,20,40 a.And the stabilities of the two methods are compared with that of the deterministic model.

关 键 词：种群 生长率 死亡率 随机数 

分 类 号：O175.12[理学—数学]