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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全(Chiun-Chuan Chen) | |
| dc.contributor.author | Kang-Ling Liao | en |
| dc.contributor.author | 廖康伶 | zh_TW |
| dc.date.accessioned | 2021-06-13T08:01:07Z | - |
| dc.date.available | 2006-07-28 | |
| dc.date.copyright | 2005-07-28 | |
| dc.date.issued | 2005 | |
| dc.date.submitted | 2005-07-22 | |
| dc.identifier.citation | [1] A. N. Kolmogorov, I. G. Petrovskii, N. S. Piskunov, Study of a diffusion equation that is related to the growth of a quality of matter, and its application to a biological problem, Byul. Moskov. Gos. Univ. Ser. A Mat. Mekh. 1(1937) 1-26
[2] C. V. Pao, Nonlinear parabolic and elliptic equations,New York, 1992 [3] J. D. Murray, Mathematical Biology, Springer-Verlag, New York, 1989 [4] J. H. van Vuuren, The existence of traveling plane waves in a general class of competition-diffusion systems, IMA J. Appl. Math. 55(1995) 135-148 [5] Jianhua Huang, Xingfu Zou, Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays, J. Math. Anal. Appl. 271(2002) 455-466 [6] J. Wu, X. Zou, Traveling wave fronts of reaction diffusion systems with delay, J. Dynam. Differential Equations 13(2001) 651-687 [7] M. M. Tang, P.C. Fife,Propagation fronts in competing species equations with diffusion, Arch. Rational Mech. Anal. 73(1978 69-77) [8] P. C. Fife, Mathematical Aspects of Reaction and Diffusion Systems, Lecture Notes in Biomathematics, Vol. 28, Springer-Verlag, Berlin, 1979 [9] R. A. Fisher, The wave of advance of advantageous gene, Ann. Eugen. 7(1937) 355-369 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/36445 | - |
| dc.description.abstract | 我們從參考書目[5]及參考書目[6]之定理2.1中得知：
當時間延遲夠小且定理2.1中所有的條件皆符合時， 利用上下解的技巧及單調疊代的方法可求出， 具時間延遲合作型Lotka-Volterra系統具有行進波解。 而現在我們希望可以找出較小的上解及降低對時間延遲的限制。 關鍵字：行進波解；上解；下解；時間延遲。 | zh_TW |
| dc.description.abstract | The existence of traveling wave front solution is established for diffusive and cooperative Lotka-Volterra system with time delays.
The approaches used in this paper are the upper-lower solution technique, the monotone iteration by Wu and Zou in reference [6] for delayed reaction-diffusion systems. From the theorem 2.1 in reference [5] and theorem 4.5* in references [6], we know that if time delay is sufficiently small and all conditions in the above theorems hold. And then we have a traveling wave front solution. Now, we hope that we can change the upper and lower solutions in reference [5] and reduce the constraints on time delays. Keywords: Traveling wave solution; Upper solution; Lower solution;Time delay. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T08:01:07Z (GMT). No. of bitstreams: 1 ntu-94-R92221004-1.pdf: 459550 bytes, checksum: 9adfac8f8d7f8c9db71d0756c53723ec (MD5) Previous issue date: 2005 | en |
| dc.description.tableofcontents | Title .................................. i
Contents ................................ ii Acknowledgements ........................ v Abstract in Chinese ..................... vi Abstract ................................ vii 1. Introduction ......................... 1 2. Preliminaries ........................ 5 3. Existence of traveling wave front solution ............................... 9 3.1 Existence of traveling wave solution for another upper solution ...........................9 3.2 Reduction in the constraints on time delays .................................. 22 References .............................. 25 | |
| dc.language.iso | en | |
| dc.subject | 時間延遲 | zh_TW |
| dc.subject | 行進波解 | zh_TW |
| dc.subject | 上解 | zh_TW |
| dc.subject | 下解 | zh_TW |
| dc.subject | Lower solution | en |
| dc.subject | Traveling wave solution | en |
| dc.subject | Time delay | en |
| dc.subject | Upper solution | en |
| dc.title | 具時間延遲合作型Lotka-Volterra系統之行進波解 | zh_TW |
| dc.title | Traveling wavefronts in cooperative Lotka-Volterra system with time delays | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 93-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林太家(Tai-Chia Lin),陳建隆 | |
| dc.subject.keyword | 行進波解,上解,下解,時間延遲, | zh_TW |
| dc.subject.keyword | Traveling wave solution,Upper solution,Lower solution,Time delay, | en |
| dc.relation.page | 25 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2005-07-22 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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