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具有空间扩散和年龄结构竞争模型的正平衡态 被引量：2

POSITIVE STEADY-STATE OF THE COMPETITIVE MODEL WITH SPATIAL DIFFUSION AND STAGE-STRUCTURE
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摘要 讨论了具有空间扩散和年龄结构的竞争模型在Neumann边界条件下正常数解的稳定性,并用两种不同的方法给出了非常数正解不存在的条件,即在此条件下不会发生斑图现象. The stability of the positive constant solution of the competitive model with stage-structure and diffusion under Neumann boundary condition is discussed. Moreover, non-existence conditions for non-constant positive solution are given by using two different ways.
作者 黑力军 王翠芳
机构地区 天津大学数学系 天津师范大学津沽学院理学系
出处 《系统科学与数学》 CSCD 北大核心 2008年第10期1236-1244,共9页 Journal of Systems Science and Mathematical Sciences
基金 南开大学-天津大学刘徽应用数学中心(H10126) 天津大学青年教师基金(5110109)资助项目
关键词 空间扩散 年龄结构 正平衡态 稳定性. Spatial diffusion, stage-structure, positive steady-states, stability.
分类号 O175 [理学—基础数学]
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参考文献11

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同被引文献9

  • 1Iron D, Wei J C, Matthias W. Stability analysis of Toring patterns generated by the Schnakenberg model[J]. J Math Biol, 2004, 49: 358-390.
  • 2Madzvamuse A. Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains[J]. Journal of Computational Physics, 2006, 214: 239-263.
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  • 4Ni W M, Suzuki K, Takagi I. The dynamics of a kinetic acti- vator-inhibitor system[J]. Journal of Differential Equations, 2006, 229:426-465.
  • 5Madzvamuse A, Maini P K. Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains[J]. Journal of Computational Physics, 2007, 225: 100 - 119.
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  • 8Wang M X. Stationary patterns for a prey-predator model with prey-dependent and ration-dependent functional responses and diffusion[J]. J Physd, 2004, 196: 172-192.
  • 9Lou Y, Ni W M. Diffusion, self-diffusion and cross-diffusion [J]. Journal of Differential Equations, 1996, 131: 79- 131.

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系统科学与数学
2008年 第10期

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