具时滞的扩散Musca domestica苍蝇模型波前解的存在性

【作者】 邓习军；

【导师】 房辉；

【作者基本信息】 昆明理工大学 ， 应用数学， 2005， 硕士

【摘要】 本文研究了具时滞的扩散Musca domestica苍蝇模型波前解的存在性。 全文共分三章,第一章介绍了有关预备知识;第二章利用几何奇异摄动理论,尤其是Fenichel不变流形理论研究了含时空时滞的扩散Musca domestica苍蝇模型波前解的存在性,证明了只要时滞充分小,那么该模型的波前解仍然得以保持;第三章利用邹幸福和吴建宏[27]所建立的单调迭代及上下解技术研究了含单个离散时滞的扩散Musca domestica苍蝇模型波前解的存在性,建立了该模型波前解存在的充分条件。更多还原

【Abstract】 This paper deals with the existence of travelling wave fronts for the diffusive Musca domestica houseflies model with delay.The whole paper consists of three chapters. In Chapter 1, we introduce some elementary concepts and results. In Chapter 2, we consider the existence of travelling wave fronts for the diffusive Musca domestica houseflies model with spatio-temporal delay. By applying the geometric singular perturbation theory, specifically Fenichel invariant manifold theory, we prove that steady travelling wavefronts persist when the delay is sufficently small. In Chapter 3, we consider the existence of travelling wave fronts for the diffusive Musca domestica houseflies model with a discrete delay. By using the upper-lower solution technique and the monotone iteration method developed by Wu and Zou [27], the existence theorem of travelling wavefronts of this model is established.更多还原