有性生殖与食者-被食者体系中的极限环  

Sexual Reproduction and Limit Cycles in Predator-Prey Systems.

作　　者：郑久仁[1] 

机构地区：[1]中国科学技术大学基础物理中心,合肥230026

出　　处：《生态学杂志》1996年第5期70-75,共6页Chinese Journal of Ecology

摘　　要：Based on sexual reproduction and birth matrix-mating rule model (BMMR model), the following representatives of birth and death rates of sexual population were obtained: (dN/dt) b=N 2g b(N)=bN 2(1-uN+w 1N 2),(dN/dt) d=Ng d(N)=dN(1+vN+w 2N 2). Tus predator-prey system can present limit cycles with cusp geometry. The sexual population has humped curves of natural increase rate of individuals as function of population size and two equilibrium points: stable S and unstable X, S>X, an asexual population can only have one equilibrium point, i.e. stable S.Based on sexual reproduction and birth matrix-mating rule model (BMMR model), the following representatives of birth and death rates of sexual population were obtained: (dN/dt) b=N 2g b(N)=bN 2(1-uN+w 1N 2),(dN/dt) d=Ng d(N)=dN(1+vN+w 2N 2). Tus predator-prey system can present limit cycles with cusp geometry. The sexual population has humped curves of natural increase rate of individuals as function of population size and two equilibrium points: stable S and unstable X, S>X, an asexual population can only have one equilibrium point, i.e. stable S.

关 键 词：种群生态学 有性生殖 食者被食者体系 极限环 

分 类 号：Q145[生物学—生态学]