一类具有随机扰动竞争系统生存分析的研究  

Survival Analysis of a Traditional Competition System with Stochastic Perturbation Research

作　　者：李晓红[1] 卢春[2] 张立杰[2] 范兴奎[2] 刘慧[2] LI Xiao-hong LU Chun ZHANG Li-jie FAN Xing-kui LIU Hui(School of Science, Qiqihar University, Qiqihar 161006, China School of Science, Qingdao Technological University, Qingdao 266520, China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]青岛理工大学理学院,山东青岛266520

出　　处：《数学的实践与认识》2016年第21期171-179,共9页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金(A201422);黑龙江省教育厅科学技术研究项目(12541893);山东省高等学校科技计划项目(J16LI09)

摘　　要：通过引入白噪声,提出了一类具有随机扰动的经典竞争系统,并对其生存分析进行了研究.不仅给出了保证灭绝性和弱持久性的充分条件,还得到了弱持久性和灭绝性之间的阀值.最后,给出数值模拟验证了理论分析结果.Taking white noise into account, a traditional competition system with stochastic perturbation is proposed and investigated. Sufficient conditions for extinction and weak persistence. Moreover, the critical number between weak persistence in the mean and extinction is obtained. Finally, simulations are carried out to conform to our results.

关 键 词：随机扰动 伊藤公式 持久性 灭绝性 

分 类 号：O175[理学—数学]