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具有避难所和捕获的非线性模型稳定性分析 被引量：1

Stability of a Nonlinear Competition Model Incorporating a Constant Proportion of Refuge for One Species and Harvesting
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摘要 提出一类具有避难所和捕获的非线性竞争模型,探讨了模型的局部渐近稳定性和全局稳定性。讨论了避难所对于种群稳定性的影响,以及非线性项系数对两种群平衡密度的作用。 A nonlinear competition harvest model incorporating a constant proportion of refuge for one species is proposed and studied in this paper. Sufficient conditions which ensure the local asymptotical stability and global stability of the model are obtained. Then the influence of refuge for population stability and the impact of nonlinear coefficient on the final density are discussed.
作者 龚晓杰 陈凤德 杨坤 赵亮
机构地区 福州大学
出处 《龙岩学院学报》 2014年第2期10-14,共5页 Journal of Longyan University
基金 福建省自然科学基金(2011J01007)
关键词 竞争 避难所 捕获 局部渐进稳定 全局稳定 competition refuge capture local asymptotical stability global stability
分类号 O175.14 [理学—基础数学]
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参考文献4

  • 1张娜,谢斌锋,苏倩倩,陈凤德.具有毒素和捕获作用的两种群竞争系统的稳定性分析[J].数学的实践与认识,2012,42(18):117-125. 被引量：4
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二级参考文献10

  • 1Kar T K, Chaudhuri K S. On non-selective harvesting of two competing fish species in the presence of toxicity[J]. Ecol Model, 2003, 161(1-2): 125-137.
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共引文献8

同被引文献14

  • 1Collings J B. Bifurcation and stability analysis of a temperature dependent mite predator-prey interaction model incorporating a prey refuge [J]. Bulletin of Mathematical Biology, 1995, 57(1): 63-76.
  • 2Kar T K. Stability analysis of a prey-predator model incorporating a prey refuge[J]. Communications in Nonlinear Science and Numerical Simulation, 2005, 10 (6): 681-691.
  • 3Kar T K. Modelling and analysis of a harvested prey- predator system incorporating a prey refuge[J]. Journal of Computational and Applied Mathematics, 2006,185(1): 19-33.
  • 4Ko W, Ryu K. Qualitative analysis of a predator-prey model with Holling type II functional response incorpo- rating a prey refuge[J]. Journal of Differential Equations, 2006, 231(2): 534-550.
  • 5Huang Yunjin, Chen Fengde, Li Zhong. Stability a- nalysis of a prey-predator model with Holling type III response function incorporating a prey refuge[J]. Applied Math. and Computation, 2006, 182 (1): 672- 683.
  • 6Chen Fengde, Chen Liujuan, Xie Xiangdong. On a Leslie-Gower predator-prey model incorporating a prey refuge[J]. Nonlinear Analysis; Real World Applica- tions, 2009, 10(2): 2905-2908.
  • 7Eressman R, Garay J. A. Predator-prey refuge system: evolutionary stability in ecological systems[J]. Theoretical Population Biology, 2009, 76 (4) : 248- 157.
  • 8Chen Liujuan, Chen Fengde, Chen Lijuan. Qualitative malysis of a predator-prey model with Holling type II :unctional response incorporating a constant prey ref- uge[J]. Nonlinear Analysis: Real World Applications. 2010, 11(1): 246-252.
  • 9Liu Xia, Han Maoan. Chaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusion[J]. Nonlinear Analysis: Real World Applications, 2011, 12(2): 1047-1061.
  • 10Mukhopadhyay B, Bhattacharyya R. Effects of deter- ministic and random refuge in a prey-predator model with parasite infection[J]. Mathematical Biosciences, 2012, 239(1) : 124-130.

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龙岩学院学报
2014年 第2期

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