福建农林大学学报(自然科学版)2013,Vol.42Issue(4):442-448,7.
捕食者—被捕食者系统稳定性指标的改进及应用
Improvement and application of a stability index for predator-prey system
摘要
Abstract
Based on Lotka-Volterra model,a novel stability index,u(t) =N2(t)-N2*/N1(t)-N1* was proposed,where N1 (t) and N2 (t) were repectively the qualltities of predator and prey at the time of t; N1*,N2* represented the qualltities of preys and predator at the steady state of equilibrium,respectively.Qualitative analysis of the model showed that the system was more stable when u > 0,and the greater u was,the better the stability was.When u < 0 and the number of predators was less than that at the steady state of equilibrium,the system was unstable.The stability index was applied to an arthropod predator-prey assemblage in the Jiulong tea plantation of Wuyi Moutains,the result revealed its rationality and feasibility.关键词
Lotka-Volterra模型/捕食者/被捕食者/稳定性指标/动力学/茶园Key words
Lotka-Volterra model/ predator/ prey/ stability index/ dynamics/ tea plantation分类
生物科学引用本文复制引用
陈超英,尤民生,王联德,陈少波,沈春虾..捕食者—被捕食者系统稳定性指标的改进及应用[J].福建农林大学学报(自然科学版),2013,42(4):442-448,7.基金项目
福建省自然科学基金资助项目(2010J01061). (2010J01061)