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cje ›› 1996, Vol. ›› Issue (5): 70-75.

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Sexual Reproduction and Limit Cycles in Predator-Prey Systems

Zheng Jiuren   

  1. Center for Fundamental Physics, University of Science and Technology of China, Hefei 230026
  • Received:1995-08-30 Online:1996-10-10

Abstract: 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=N2gb(N)=bN2(1-uN+w1N2),(dN/dt)d=Ngd(N)=dN(1+vN+w2N2). 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 Sand unstable X, S>X, an asexual population can only have one equilibrium point, i.e. stable S.

Key words: Pinus densiflora var. zhangwuensis, Pinus sylvestris var. mongolica, salt-alkali stress, physiological indices.