修正能量平衡模型並且考慮自然跟人類因素而且使用布迪科模型 來 描述輸出的能量。地球的氣候系統可以分成還海洋跟陸地兩部分， 海洋陸地可以被冰所覆蓋，但是陸地上的植被沒有被冰所覆蓋。此 外，在考慮植被的面積比例的情況下，反照率的變化會影響溫度的平 衡。我們使用冰的覆蓋率跟植被消失的比例來做為模型的參數，並且 跟先前的結過比較，同時我們也計算不同的平衡溫度的穩定性。 ;In this thesis, we construct a new version of Energy Balance Model (EBM for short) in global climate system which describes the interaction of temperature and vegetation in Earth climate system. The modified climate system is a 2×2 nonlinear system of ordinary differential equations. To construct the Energy Balance Model, we consider the effect from natural and human factors and use the linearization of Stefan-Boltzmann laws from Budyko’s works for outgoing energy. We maps the earth system into the combination of ocean and land. This complex system describes the cases that either ocean can be covered by ice, the land can be covered by ice (with fraction β) and the land covered by the vegetation, or no cover of ice and vegetation on the land. Furthermore, the change of albedo will affect the temperature as well as the equilibria of the system in each region of Earth. We study the stability of the equilibria for this system by using the technique from Dynamical Systems and cases study in term of the variety of parameters β and η (death rate of vegetation). Finally, we compare our results with the previous results of some simple system.
