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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/91021完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全 | zh_TW |
| dc.contributor.advisor | Chiun-Chuan Chen | en |
| dc.contributor.author | 閻天立 | zh_TW |
| dc.contributor.author | Tian-Li Yan | en |
| dc.date.accessioned | 2023-10-24T16:46:15Z | - |
| dc.date.available | 2025-10-03 | - |
| dc.date.copyright | 2023-10-24 | - |
| dc.date.issued | 2023 | - |
| dc.date.submitted | 2023-07-23 | - |
| dc.identifier.citation | [1] Kenichi Aoki, Mitsuo Shida, and Nanako Shigesada. Travelling wave solutions for the spread of farmers into a region occupied by hunter–gatherers. Theoretical Population Biology, 50(1):1–17, 1996.
[2] Sheng-Chen Fu. The existence of traveling wave fronts for a reaction-diffusion system modelling the acidic nitrate-ferroin reaction. Quarterly of Applied Mathematics, 72(4):649–664, 2014. [3] Sheng-Chen Fu, Masayasu Mimura, and Je-Chiang Tsai. Traveling waves for a three-component reaction–diffusion model of farmers and hunter-gatherers in the neolithic transition. Journal of Mathematical Biology, 82:1–35, 2021. [4] P. Hartman. Ordinary Differential Equations: Second Edition. Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1982. [5] Paul Mellars. The Neanderthal Legacy: An Archaeological Perspective from Western Europe. Princeton University Press, 1996. | - |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/91021 | - |
| dc.description.abstract | 在這篇論文中，我們研究了農夫和獵人-採集者三種族群模型。首先，我們對農夫和獵人-採集者三種族群模型的參數進行縮放。接下來，確定行波解的精確解的主要方法是假設系統中所有族群都展現出邏輯生長動態。最後，我們將證明我們提出的農夫、獵人和採集者三種族群模型的半行波解的存在性。 | zh_TW |
| dc.description.abstract | In this thesis, we study a Farmers and Hunter-gatherer three species model. Firstly, we rescale the system of a Farmers and Hunter-gatherer three species model. Next, the main idea to find the exact solution of a traveling wave solution is based on the assumption that all populations involved in the system exhibit logistic growth dynamics. Lastly, we will prove the existence of a semi-wave in the Farmers and Hunter-gatherer 3 species model, which we have proposed. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2023-10-24T16:46:15Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2023-10-24T16:46:15Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | 1 Introduction 1
1.1 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 Main Results 6 2.1 Exact Soution . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.1 Ansatz . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Existence of the Traveling wave solution . . . . . . . . . . . 11 2.2.1 Necessary conditions for traveling waves solutions . . 11 2.2.2 Sub- and super- solutions . . . . . . . . . . . . . . . 15 2.2.3 The case c > c∗ . . . . . . . . . . . . . . . . . . . . . 16 2.3 A truncated problem . . . . . . . . . . . . . . . . . . . . . . 19 2.4 Existence of semi-waves . . . . . . . . . . . . . . . . . . . . 22 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 | - |
| dc.language.iso | en | - |
| dc.subject | 精確解 | zh_TW |
| dc.subject | 行波解 | zh_TW |
| dc.subject | 三物種 | zh_TW |
| dc.subject | 農夫和獵人-採集者競爭模型 | zh_TW |
| dc.subject | Exact solution | en |
| dc.subject | The Farmers and Hunter-gatherer model | en |
| dc.subject | three species | en |
| dc.subject | Traveling wave solution | en |
| dc.title | 論新石器時代過渡期中農民和狩獵採集者的三物種反應-擴散方程組解的存在性 | zh_TW |
| dc.title | The Existence for a three-component reaction-diffusion system of Farmers and Hunter-gatherers in the Neolithic Transition | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 111-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 符聖珍;陳建隆 | zh_TW |
| dc.contributor.oralexamcommittee | Sheng-Chen Fu;Jann-Long Chern | en |
| dc.subject.keyword | 農夫和獵人-採集者競爭模型,三物種,行波解,精確解, | zh_TW |
| dc.subject.keyword | The Farmers and Hunter-gatherer model,three species,Traveling wave solution,Exact solution, | en |
| dc.relation.page | 25 | - |
| dc.identifier.doi | 10.6342/NTU202301383 | - |
| dc.rights.note | 同意授權(限校園內公開) | - |
| dc.date.accepted | 2023-07-24 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 數學系 | - |
| dc.date.embargo-lift | 2025-10-03 | - |
| 顯示於系所單位： | 數學系 | |
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