具有Hassell-Varley型的随机捕食系统正全局解的存在性  

Existence of Global Solutions Stochastic Prey-Predator System with Hassell-Varley Type Functional Response

作　　者：叶丽霞[1] 兰德新[1] YE Lixia LAN Dexin(School of Mathematics and Computer, Wuyi University,Wuyishan, Fujian 33430)

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《武夷学院学报》2016年第9期38-41,共4页Journal of Wuyi University

基　　金：国家自然科学基金(11202249);福建省青年教师科研基金(JA15524)

摘　　要：基于Hassell-Varely型功能性反应和随机干扰,研究了一类具有Hassell-Varely型的随机捕食系统正全局解的存在性与唯一性。利用随机微分方程中的比较原理及It积分方法,给出了该系统正全局解的存在性与唯一性的充分条件,为研究该系统全局渐进稳定奠定基础。With Hassell-Vadey type functional response and random disturbance, this paper further studies existence and uniqueness of global solutions stochastic prey-predator system with Hassell-Varley type functional response. A sufficient condition of existence and uniqueness of global solutions have been presented for such systems by using the comparison principle of stochastic differential equation and integral, contributing to study global asymptotic stability of the systems.

关 键 词：随机扰动 Hassell-Varley型功能性反应 正全局解 

分 类 号：O175[理学—数学]