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食饵种群具有Smith增长的一类捕食系统的经济捕获模型

A economic harvesting model of predator-prey system for prey species with Smith growth
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摘要 建立了一类食饵具有Smith增长的捕食系统的经济捕获模型.运用微分方程稳定性理论研究了模型平衡点的稳定性,并得到平衡点渐近稳定的充分条件.对结论进行了生态解释,并且运用Matlab对平衡点的稳定性进行了仿真. Constructed an economic harvesting model of predator-prey system for prey species with Smith growth.The stability of the equilibriums was studied andthe sufficient conditions of the stability for the equilibriums were obtained by the stability theory of ordinary differential equation.The ecological significances for the above conclusions were explained and the stability of the equilibriums was illustrated by Matlab.
作者 俞美华
出处 《高师理科学刊》 2015年第10期28-32,共5页 Journal of Science of Teachers'College and University
关键词 Smith增长 捕食系统 经济捕获 稳定性 Smith growth predator-prey system economic harvesting stability
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  • 1谭德君.具有生育脉冲的Lotka-Volterra合作系统的正周期解的存在性[J].生物数学学报,2004,19(4):414-420. 被引量:7
  • 2Meng Xinzhu Zhang Tongqian Liu Hongxia.ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION[J].Annals of Differential Equations,2005,21(3):378-384. 被引量:4
  • 3邱树林,吴承强,陈江彬.具有非线性密度制约的HollingⅡ类功能性反应的食饵与捕食者模型的定性分析[J].福州大学学报(自然科学版),2006,34(1):14-18. 被引量:11
  • 4陈兰荪 刘平舟 等.种群生态系统的持续生存[J].生物数学学报,1988,3(1):18-32.
  • 5Ding X Q, Wang Y Y. Positive periodic solution for a gause-type ratio-dependent predator-prey system with diffusion and time delay[J]. International Journal of B~omathematies, 2008, 1(3):339-354.
  • 6Zhang H, Georgescu P, Chen L S. An Impulsive predator-Prey system with Beddington-Deangelis functional response and time delay[J]. International Journal of Biomathematics, 2008, 1(1):1-17.
  • 7Pei Y, Li C, Chen L. Continuous and impulsive harvesting strategies in a stage-structured predator-prey model with time delayIJ]. Mathematics and Computers in Simulation, 2009, 79:2994-3008.
  • 8Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations[M]. Berlin: Springer- Verlag, 1977.
  • 9H. L. Freedman,V. Sree Hari Rao.The trade-off between mutual interference and time lags in predator-prey systems[J]. Bulletin of Mathematical Biology . 1983 (6)
  • 10Edoardo Beretta,Yang Kuang.Global analyses in some delayed ratio-dependent predator-prey systems[J]. Nonlinear Analysis . 1998 (3)

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