- 會議論文
An Approach for Solving the Existence of Waves in a Class of Reaction-Diffusion Systems of KPP Type
並列摘要
In this paper, we describe a method for solving the existence of traveling waves in a class of reaction-diffusion system whose propagating behavior of waves is similar to that in the KPP system. We will outline the method step by step. For each step, we use the quadratic autocatalytic reaction with a decay step to illustrate the method. This method might be applied to a class of prey-predator systems which do not enjoy the comparison principle. Further, the propagating phenomenon can be characterized in the sense of Aronson-Weinberger formulation.
被引用紀錄
林靜儀（2004）。Pb(Sb1/2Nb1/2)O3-PbZrO3-PbTiO3
壓電性質之研究〔碩士論文，大同大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0081-0607200917232650
延伸閱讀
- Yeh, J. Y., Chen, J. Y., Liu, C. Y., & Chang, C. C. (2007). Control of Wave Propagation in Periodic Structures Having Defects. 科學與工程技術期刊, 3(3), 45-50. https://doi.org/10.7117/JSET.200709.0045
- Chiou, Y. S. (2010). Travelling Wave Solutions for Reaction-Diffusion-Advection Equations [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2010.02040
- Lee, C. C. (2000). Traveling Wave Solutions for A Fast Diffusion Equation with Source [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-2603200719110584
- Lin, J. J. (2011). Traveling Waves for Reaction-Diffusion Partial Difference Systems [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0107201116083060
- Wang, Y., & Wei, L. (2013). Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation. Abstract and Applied Analysis, 2013(), 669-674-471. https://doi.org/10.1155/2013/407908