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一类具有Holling Ⅲ型功能性反应的捕食者-食饵系统的周期解的存在性 被引量：3

Existence of periodic solutions of predator-prey system with Holling Ⅲ functional response
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摘要 利用重合度理论中的延拓定理研究带有开发利用项的具有Holling Ⅲ型功能性反应的捕食者-食饵系统,得到了两个正周期解存在的充分条件,得到了一些新的结果. By using the coincidence degree theory, we investigate the existence of positive periodic solutions of predator-prey system with Holling III hmctional response and exploited terms. Some new criteria are established for the existence of periodic solutions.
作者 徐炳祥 曾志军
机构地区 东北师范大学数学与统计学院 中南大学数学与统计学院
出处 《纯粹数学与应用数学》 CSCD 2012年第4期523-530,共8页 Pure and Applied Mathematics
基金 国家自然科学基金(11101075) 教育部博士点新教师基金(20090043120009) 国家大学生创新性实验计划项目(091020024)
关键词 重合度 周期解 捕获项 HOLLING Ⅲ功能性反应 coincidence degree periodic solution exploited term Holling III functional response
分类号 O175.14 [理学—基础数学]
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二级参考文献24

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共引文献63

同被引文献31

  • 1刘振杰,范鹰,于景伟.具有稀疏效应和HollingⅢ型捕食者——食饵系统的周期解[J].哈尔滨理工大学学报,2007,12(2):63-65. 被引量：3
  • 2Cantrell R S, Cosner C, Lou Yuan. Evolutionary stability of ideal free dispersal strategies in patchy environments[J]. Journal of Mathe- matical Biology,2012,65(5) :943-965.
  • 3Jansen V A A, Lloyd A L. Local stability analysis of spatially homogeneous solutions of multi-patch systems[J]. Journal Of Mathemati- cal Biology,2000,41(3) :232-252.
  • 4Chen Lijuan. Permanence for a delayed predator-prey model of prey dispersal in two-patch environments[J]. Journal of Applied Mathe- matics and Computing,2010,34(1/2):207-232.
  • 5Qiu Lin, Mitsui T. Predator-prey dynamics with delay when prey dispersing in n-patch environment[J]. Japan Journal of Industrial and Applied Mathematics, 2003,20 ( 1 ): 37-49.
  • 6Zhang Feng, Hui Cang, Han Xiaozhuo,et al. Evolution of cooperation in patchy habitat under patch decay and isolation[J]. Ecological Research, 2005,20 (4) : 461-469.
  • 7Chun Y S, Ryoo M I, Choi W I. Influences of resource patch distribution on a host-parasitoid system stability in patch environment: a la- boratory study[J]. Asia-Pacific Entomology, 1998,1 (2) : 223-234.
  • 8Zhang Xu, Wang Wendi. Importance of dispersal adaptations of two competitive populations between patehes[J]. Ecological Modelling, 2011,222(1) :11-20.
  • 9Wang Ruiping. Competition in a patch environment with cross-diffusion in a three-dimensional Lotka-Volterra system[J]. Nonlinear A- nalysis : Real World Applications, 2010,11 (4) : 2726-2730.
  • 10Zhang Long,Teng Zhidong, Liu Zijian. Survival analysis for a periodic predator-prey model with prey impulsively unilateral diffusion in two patches[J]. Applied Mathematical Modelling,2011,35(9) :4243-4256.

引证文献3

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纯粹数学与应用数学
2012年 第4期

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