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

作　　者：陈超英[1] 尤民生[2,3] 王联德[3,4] 陈少波 沈春虾 

机构地区：[1]福建农林大学计算机与信息学院,福建福州350002 [2]福建农林大学应用生态研究所,福建福州350002 [3]农业部闽台作物有害生物综合治理重点实验室,福建福州350002 [4]福建农林大学植保学院,福建福州350002 [5]福州市防治白蚁公司,福建福州350005 [6]福建捷联电子有限公司,福建福清350301

出　　处：《福建农林大学学报（自然科学版）》2013年第4期442-448,共7页Journal of Fujian Agriculture and Forestry University:Natural Science Edition

基　　金：福建省自然科学基金资助项目(2010J01061)

摘　　要：基于Lotka-Volterra动力模型,提出以u(t)=(N2(t)-N2*)/(N1(t)-N1*)作为测度捕食者—被捕食者系统稳定性的指标,其中N1(t)、N2(t)分别为被捕食者和捕食者在t时刻的数量,N*1、N*2分别是它们平衡态的数量.对模型的定性分析结果表明,u>0时系统稳定性较好,u值愈大愈好.u<0时,当被捕食者数量低于平衡态的数量,系统稳定性好,u绝对值愈小愈好;反之,系统稳定性差,u绝对值愈大愈差.并将该指标应用于测度武夷山市九龙山茶园捕食者—被捕食者系统的稳定性,结果表明其合理且可行.Based on Lotka-Volterra model, a novel stability index, u （t）= N2（t）-N＊2/N1（t）-N＊1 was proposed, where N1 （t） and N2 （t）were repectively the quallfities of predator and prey at the time of t; N＊1 , N＊2 represented the qualhities 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 equi- librium, the system was unstable. The stability index was applied to an arthropod predator-prey.assemblage in the Jiulong tea planta- tion 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 

分 类 号：Q141[生物学—生态学] Q968.1[生物学—普通生物学]