摘要
考虑生态系统经常受到随机噪声的影响,提出一类具有随机扰动捕食者食饵系统,该系统含有Hassell-Varley型功能性反应函数.通过构造合理的函数Lya-punov函数,利用比较原理及伊藤公式,说明该系统的有界及解依期望全局渐进稳定的一个充分条件,并利用数值仿真阐明本文所建立结果的有效性及较强的抗干扰性。
Considering that the ecosystem is often affected by random noise,a class of Xstochastic predator-prey system,which contains the Hassell-Varley functional response func- tion is proposed.By using the comparison principle of the stochastic differential equation and the Ito formula,a sufficient condition for the boundedness of the system is given,and a reasonable criterion for the asymptotic stability of the system is obtained by constructing a reasonable Lyapunov functional.Finally,the validity of the theoretical results and the strong anti-jamming is showed by the state diagram.
作者
叶丽霞
兰德新
张忠
YE Li-xia;LAN De-xin;ZHANG Zhong(Department of Mathematics and Computer,Wuyi University,Wuyishan 354300,China;Department of Mathematics and Statistics,Chongqing University,Chongqing 400000,China)
出处
《数学的实践与认识》
北大核心
2018年第23期160-166,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11202249)
福建省青年教师科研基金(JA15524)
福建省教育科学“十三五”规划项目(FJJKCGZ16-178)
