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一类比率依赖具有Holling-III的捕食者-食饵系统的参数分析 被引量：1

Parametric Analysis of a Ratio- Dependent Capture Predator-Prey Systems with Holling Type III Functional Response
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摘要 研究了一类比率依赖的具有Holling第III类功能性反应的具有捕捞的两种群竞争模型,研究了系统的平衡点个数、局部稳定性和全局稳定性、极限环的存在性,并且用数值模拟描述得到一些结果。 In this paper, a ratio-dependent predator-prey system with Holling type Ⅲ functional response is studied, focusing on its equilibrium number and stability. A global qualitative analysis of the model considering all parameters is carried out. Conditions for the existence of limit cycle for the model are obtained. In addition, some numerical simulations show the effectiveness of the obtained results.
作者 严彬
机构地区 仰恩大学数学系．福建泉州
出处 《科技导报》 CAS CSCD 2008年第22期30-33,共4页 Science & Technology Review
关键词 捕食者-食饵系统 比率依赖 Holling第Ⅲ类功能性反应 捕捞 极限环 predator-prey system ratio-dependent response Holling type Ⅲ functional response capture limit cycle
分类号 O175 [理学—基础数学]
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参考文献6

  • 1Holling C S. The functional response of predator to prey density and its role in mimicry and population regulation [J]. Mem Ent Sec Can, 1965, 45: 1-60.
  • 2路霞 林怡平.一类比率依赖捕食者-食饵系统的局部稳定性及Hopf分支.昆明理工大学学报：理工版,2004,29:313-318.
  • 3Jost C, Arino O, Arditi R. About deterministic extinction in ratiodependent predator-prey models[J]. Bull Math Biol, 1999, 61: 19-32.
  • 4Huang J, Xiao D. Analyses of bifurcations and stability in a predator- prey system with Holling type-IV functional response[J]. Acta Math Appl Sinica: English Ser, 2004, 20: 167-175.
  • 5Andrews J F. A mathematical model for the continuous culture of microorganisms utilizing inhibitory substractes [J]. Biotechnol Bioeng, 1968, 10: 707-723.
  • 6张芷芬,丁同仁,黄文灶,等.微分方程定性理论[M].北京:科学技术出版社,1991.

同被引文献7

  • 1Holling C S.The functional response of predator to prey density and its role in mimicry and population regulation[J].Memoirs of the Entomological Society of Canada.1965,45:1-60.
  • 2路霞 林怡平.一类比率依赖捕食者-食饵系统的局部稳定性及floor分支.昆明理工大学学报理工版,2004,29:313-318.
  • 3Jost C,Arino O,Arditi R.About deterministic extinction in ratio-dependent predator-prey models[J].Bulletin of Mathematical Biology,1999,61:19-32.
  • 4Lamb H.Hydrodynamics[M].6th ed.London:Cambridge University Press,1932.
  • 5Ozisik M N.Heat eonduetion[M].Serantan,Pa:International Textbook Co,1980.
  • 6Cai R,Jiang H,Sun C.Some analytical solutions applicable to verify 3-D numerical methods in turbomachines JR].MeehE Conference Publieations,c80/84,1984:255-263.
  • 7Ji-caiHuang,Dong-meiXiao.Analyses of Bifurcations and Stability in a Predator-prey System with Holling Type-Ⅳ Functional Response[J].Acta Mathematicae Applicatae Sinica,2004,20(1):167-178. 被引量：15

引证文献1

科技导报
2008年 第22期

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