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一个强耦合的捕食模型(英文) 被引量:1

A Strongly Coupled Predator-Prey Model
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摘要 讨论了具有Neumann边界条件的一个强耦合捕食模型的非常数正解的不存在性. A strongly coupled predator-prey model subject to the homogeneous Neumann boundary condition is discussed. The non-existence of positive non-constant solutions is obtained.
出处 《徐州师范大学学报(自然科学版)》 CAS 2005年第3期29-34,共6页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 ResearchsupportedbytheMinistryofEducationofChinaScienceandTechnologyMajorProjectsGrant(104090)
关键词 捕食模型 强耦合椭圆方程组 正平衡解 不存在 predator-prey model strongly coupled elliptic system positive steady-state non-existence
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参考文献4

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同被引文献8

  • 1何丽红,郑晓静.风-沙-电多场耦合模型及其对风沙流结构的影响[J].兰州大学学报(自然科学版),2005,41(3):87-92. 被引量:8
  • 2陈滨,孙福芹.强耦合捕食模型正解的存在性[J].天津工程师范学院学报,2005,15(3):5-8. 被引量:1
  • 3KEFI S, MAX R, ALADOS C L, et al. Spatial vegetation patterns and imminent desertification in mediterranean arid ecosystems [J]. Nature,2007,449:213-217.
  • 4LEFEVER R, LEJEUNE O, COUTERON P. In mathematical models for biological pattern [J]. IMA, 2000,121 (2) : 83-112.
  • 5HARDENBERG J V, MERON E,SHACHAK M,et al. Diversity of vegetation patterns and desertification[J]. Physical Review letters, 2001,87(19) : 1981011-1981014.
  • 6CHOI Y S, HUAN Zhongdan, LUI Roger. Global existence of solutions of a strongly coupled quasilinear parabolic system with application to electrochemistry [J]. J of Differential Equations, 2003,194(2) : 406-432.
  • 7LADYZHENSKAYA O A. The mathematical theory of viscous incompressible flows [M]. 2nd ed. New York:Gordon Breach, 1969.
  • 8伍卓群,尹景学,王春明.椭圆与抛物型方程引论[M].北京:科学出版社,2002.13-18.

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