具有HollingⅡ类功能性反应的偏利模型动力学行为研究  

On Dynamic Behavior of Biased Mode with Holling Ⅱ Functional Response

作　　者：周晓燕[1] 林椿涛 林巧霞 陈锦煌 

机构地区：[1]福州职业技术学院公共教育部,福州福建350108 [2]福州大学数学与计算机科学学院,福州福建350116

出　　处：《菏泽学院学报》2017年第5期16-19,共4页Journal of Heze University

基　　金：福建省自然科学基金(2015J01012;2015J01019)

摘　　要：本文主要研究具有饱和效应的偏利种群模型,假设两种群间的合作关系用HollingII类功能性反应来刻画,提出一类非自治非线性的两种群偏利关系模型,该系统是无条件持久的.其后通过构造适当的Lyapunov函数,并给出了一组保证系统全局吸引的充分性条件,条件表明当种内竞争足够大,而种间合作比较小时,系统是稳定的.This paper studies the biased population model with saturation effect.It assumes that the cooperative relation between two populations is characterized by Holling Ⅱ with functional response and puts forwards a class of non-autonomous and nonlinear model with two biased populations.This system is unconditional and lasting and a set of sufficient conditions to guarantee the overall attractivity is given,which shows the system will be stable when intraspecific competition is large enough while inter species cooperation is relatively small.

关 键 词：持久性 LYAPUNOV函数 全局吸引性 

分 类 号：O193[理学—数学]