一类随机Amensalism种群模型的动力学行为  

Dynamic Behavior of a Stochastic Amensalism Population Model

作　　者：艾晓辉[1] 邓文波 李鹏喆 AI Xiao-hui;DENG Wen-bo;LI Peng-zhe(School of Science, Northeast Forestry University, Harbin 150040, China)

机构地区：[1]东北林业大学理学院,哈尔滨150040

出　　处：《哈尔滨理工大学学报》2022年第3期140-146,共7页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11401085);黑龙江省博士后资助项目(LBH-Q21059);中央高校基础科研项目(2572021DJ04).

摘　　要：针对受环境因素影响的偏害共生动力学问题,依据随机微分方程理论,采用引入白噪声的方法,建立了随机偏害共生动力学模型,并研究了随机偏害共生种群模型的动力学行为。首先证明了随机偏害共生动力学模型全局正解的存在性,其次利用伊藤公式和切比雪夫不等式证明了随机偏害共生动力学模型解的随机最终有界性,再次分析了随机偏害共生动力学模型解的矩的渐近性质,最后通过数值模拟验证了理论结果。Aiming at the problem of biased symbiosis dynamics affected by environmental factors,according to the theory of stochastic differential equation,the stochastic biased symbiosis dynamics model is established by introducing white noise,and the dynamic behavior of the stochastic biased symbiosis population model is studied.Firstly,the existence of global positive solution of the stochastic partial hazard symbiosis dynamics model is proved.Secondly,the stochastic ultimate boundedness of the solution of the stochastic partial hazard symbiosis dynamics model is proved by using the Ito formula and Chebyshev inequality.Thirdly,the asymptotic properties of the moment of the solution of the stochastic partial hazard symbiosis dynamics model are analyzed.Finally,the theoretical results are verified by numerical simulation.

关 键 词：随机模型 全局正解的存在性 随机最终有界性 矩的渐近性 

分 类 号：O211.63[理学—概率论与数理统计]