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一类时滞种群模型的行波解

Traveling wave solution for a class of population model with time delay
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摘要 考虑一类具有时间滞后的种群模型的动力学行为.特别的,此模型的非线性项不能借助于在不稳定平衡点的偏导数来控制.借助于构造上下解,证明该模型存在连接平凡平衡态和正平衡点的波前解. The dynamical behavior of a class of population model with time delay was considered,where the nonlinear term could not be controlled by its partial derivative near the unstable equilibrium point.By constructing proper upper and lower solutions,the existence of traveling wavefront solution was proved,which would connect the trivial equilibrium with the positive one.
作者 潘书霞
机构地区 兰州理工大学理学院
出处 《兰州理工大学学报》 CAS 北大核心 2010年第2期150-152,共3页 Journal of Lanzhou University of Technology
基金 甘肃省自然科学基金(096RJZA051)
关键词 时滞 波前解 上下解 time delay traveling wavefront solution upper and lower solution
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献12

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  • 7潘书霞,向红.具有时滞的Lotka-Volterra竞争系统的行波解[J].兰州理工大学学报,2007,33(6):143-146. 被引量：2
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二级参考文献8

  • 1SCHAAF K W. Asymptotic behavior and traveling wave solutions for parabolic functional differential equations [J]. Trans Arner Math Soe, 1987,302 : 587-615.
  • 2HUANG J H, ZOU X F. Existence of traveling wavefronts of delayed reaction-diffusion systems without monotonieity [J]. Discrete and Cont Dyn Sys, 2003,9 : 925-936.
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  • 4WU J H,ZOU X F. Traveling wave fronts of reaction-diffusion systems with delay [J]. J Dynam Diff Eqns,2001,13:651-687.
  • 5ZOU X F. Delay induced travelling wave fronts in reaction diffusion equations of KPP-Fisher type [J]. J Comput Appl Math, 2002,146: 309-321.
  • 6HUANG J H, ZOU X F. Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays [J]. J Math Anal Appl, 2002,271 : 455-466.
  • 7HUANG J H,ZOU X F. Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity [J]. Acta Mathernatica Applicatae Sinica (English Series), 2006,22 : 243- 256.
  • 8LI W T, LING, RUAN S G. Existence of traveling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems [J]. Nonlinearity, 2006,19:1 253-1 273.

共引文献1

兰州理工大学学报
2010年 第2期

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