捕食-食饵动力系统的定性分析  

QUALITATIVE ANALYSIS FOR DYNAMIC SYSTEM OF PREDATOR-PREY

作　　者：井竹君[1] 

机构地区：[1]中国科学院数学研究所

出　　处：《应用数学学报》1989年第3期333-342,共10页Acta Mathematicae Applicatae Sinica

摘　　要：§1.引言G.W.Harrison 研究了一种比 Volterra 模型和 Freedman 模型更为真实的捕食-食饵相互作用的生物系统的数学模型:A predator-Prey system,depending on several parameters,is investigated for the bifurca-tion of equilibria,Hopf bifurcation,the global bifurcation with saddle connection,and theglobal existence and nonexistence of limit cycles.We also study the changes of the topologicalstructure of trajectories as the parameters are varied.Finally the biological implications ofthe mathematical results are discussed.

关 键 词：捕食-食铒 动力系统 捕食种群 

分 类 号：Q-332[生物学]