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具有Allee效应的食饵-捕食模型的最优捕获问题 被引量:2

Optimal Capture Strategy of a Predator-prey Model with Allee Effect
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摘要 建立了食饵含Allee效应的最优捕获模型,证明了系统平衡点的渐进稳定性和全局稳定性,并讨论了生态平衡点的存在性,最后利用Pontryain最大值原理确定了最优捕获策略. This paper proves asymptotic stability of the equilibrium point of the system and the overallstability on the basis of the optimal prey capture model with Allee effect. Meanwhile, the existence ofecological equilibrium is discussed then. Finally the optimal capture strategy is determined by means of thePontryain maximum principle.
出处 《温州大学学报(自然科学版)》 2015年第1期17-22,共6页 Journal of Wenzhou University(Natural Science Edition)
关键词 ALLEE效应 Pontryain最大值原理 最优捕获 Allee Effect Pontryain Maximal Principle Optimal Capture Strategy
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  • 1谭易兰,王秀红.应用Green定理解决渔业资源最优捕获问题[J].烟台师范学院学报(自然科学版),2005,21(3):180-182. 被引量:3
  • 2Dennis B, Alice effects. Population growth, critical density, and the chance of extinction[J]. Nat Resour Modeling, 1989,3 : 481-538. 被引量:1
  • 3Hopper K R, Roush R T. Mate finding, dispersal, number released, and the success of biological control introductions[J]. Ecol Entomol, 1993,18(4) : 321-331. 被引量:1
  • 4Hackney E E, McGraw J B. Experimental demonstration of an Allee effect in American ginseng[J]. Conserv Biol, 2001,15(1): 129-136. 被引量:1
  • 5Kent A, Doncaster, Sluckin C P T. Conquences for predators of rescue and Allee effects on prey[J]. Ecol Modeling, 2003,162 (3) : 233- 245. 被引量:1
  • 6Hutching J A, Reynolds J D. Marine fish population collapses: consequences for recover and extinction risk[J]. BioScience, 2004,54 (4) : 297-309. 被引量:1
  • 7Sinclair A R E, Pech R P, Dickman C R, Hik D, Mahon P, Neusone A E. Predicting effects of predation on conservation of endangered prey[J]. Conserv Biol, 1998. 564-575. 被引量:1
  • 8Srephens P A, Sutherland W J, Freckleton R P. What is the Allee effect? [J]. Oikos,1999,87(1):185-190. 被引量:1
  • 9Zhou S R, Liu Y F, Wang G. The stability of predator-prey systems subject to the Allee effects[J]. Theor Popul Biol, 2005,67 (1), 23-31. 被引量:1
  • 10Gascoigne J C, Liocius R N. Allee effect driven by predation[J]. J Appl Ecol,2006,41(5):801-810. 被引量:1

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