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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.
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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.
作者 郑久仁
出处 《生态学杂志》 CAS CSCD 北大核心 1996年第5期70-75,共6页 Chinese Journal of Ecology
关键词 种群生态学 有性生殖 食者被食者体系 极限环 sexual reproduction, BMMR model, predator-preysystem, limit cycle, equilibrium point.
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  • 1Akio Takafuji,Yoshio Tsuda,Toshihiro Miki. System behaviour in predator-prey interaction, with special reference to acarine predator-prey system[J] 1983,Researches on Population Ecology(3):75~92 被引量:1
  • 2Akio Takafuji. The effect of the rate of successful dispersal of a Phytoseiid mite,Phytoseiulus persimilis Athias-Henriot (Acarina: Phytoseiidae) on the persistence in the interactive system between the predator and its prey[J] 1976,Researches on Population Ecology(1):210~222 被引量:1

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