带一般Lévy跳和白噪声干扰的随机三种群食物链模型的生存性分析  

Survival analysis of stochastic three-species food chain model with white noise and general Lévy jumps

作　　者：曾婷 滕志东[1] ZENG Ting;TENG Zhidong(College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《中国科学技术大学学报》2018年第8期622-630,共9页JUSTC

基　　金：新疆维吾尔自治区重点实验室开放课题(2016D03022)资助

摘　　要：对一类一般Lévy跳和白噪声干扰的随机三种群食物链模型进行生存性分析,得到了全局正解的存在唯一性、最高级种群在均值意义下的持久性以及部分种群灭绝,并且其余种群均值意义下稳定持久性的判别准则.结果显示,Lévy跳可以明显地改变种群的生存状态,可使得持久的种群灭绝,也可使灭绝的种群持久.The survival of a stochastic three species food chain model with white noise and general Lévy jumps was analyzed,which includes existence and uniqueness of global positive solution as well as permanence in the mean of the highest species.Situations where some species are extinct while others are persistent in the mean were also clarified.The results show that Lévy jumps can obviously change the survival of population,which can make the persistent population become extinct,or vice versa.

关 键 词：随机食物链模型 Lévy跳 白噪声 平均持久性 灭绝性 

分 类 号：O175.7[理学—数学]