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THE OPTIMAL HARVESTING OF A PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE

THE OPTIMAL HARVESTING OF A PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE
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摘要 In this paper, we establish the exploitation of continuous harvest of predator and prey with stage-structures. We investigate the properties of harvesting multispecies systems. With some special methods, we obtain boundedness and global attractiveness of all the nonnegative equilibria for proportional harvest. Finally, we solve the problem of optimal harvest policy using Pontragin's maximal principle. In this paper, we establish the exploitation of continuous harvest of predator and prey with stage-structures. We investigate the properties of harvesting multispecies systems. With some special methods, we obtain boundedness and global attractiveness of all the nonnegative equilibria for proportional harvest. Finally, we solve the problem of optimal harvest policy using Pontragin's maximal principle.
出处 《Annals of Differential Equations》 2007年第4期440-445,共6页 微分方程年刊(英文版)
基金 the National Natural Science Foundation of China (10471040) the Sciences Foundation of Shanxi (2005Z010)
关键词 stage structure predator-prey harvesting time-delay stage structure predator-prey harvesting time-delay
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参考文献8

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