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

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。

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.