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A PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND HARVESTING FOR PREDATOR 被引量:8

A PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND HARVESTING FOR PREDATOR
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摘要 In this paper, we consider a predator-prey system with stage structure and harvesting (where the predator population has two stages, an immature stage and a mature stage with harvesting, and the growth of the prey population is of Lotka-Volterra nature). We obtain the conditions of the globally asymptotic stability for three nonne-gative equilibria of this system. In this paper, we consider a predator-prey system with stage structure and harvesting (where the predator population has two stages, an immature stage and a mature stage with harvesting, and the growth of the prey population is of Lotka-Volterra nature). We obtain the conditions of the globally asymptotic stability for three nonne-gative equilibria of this system.
出处 《Annals of Differential Equations》 2002年第3期264-277,共14页 微分方程年刊(英文版)
基金 This work is supported by the NSF of China and the NSF of Henan Province.
关键词 stage structure predator-prey system global asymptotic stability stage structure predator-prey system global asymptotic stability
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参考文献3

  • 1A. W. Leung.Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems[J].Applied Mathematics & Optimization.1995(2)
  • 2Alan Hastings.Cycles in cannibalistic egg-larval interactions[J].Journal of Mathematical Biology.1987(6)
  • 3H. D. Landahl,B. D. Hansen.A three stage population model with cannibalism[J].Bulletin of Mathematical Biology.1975(1)

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