近年來，網路的發達與創新的科技產品常常帶給人們耳目一新的驚奇，帶給人們生活上很大的轉變，變得更便利且豐富，尤其是智慧型手機更是明顯。作業系統是人們選擇購買智慧型手機時考量的原因之一，目前以Android、iOS(iPhone Operation System)為市占率前兩大主要手機作業系統。iOS以封閉式與Android以開放式的作業系統在同一個市場中立足，兩大作業系統將呈現不同的競爭關係，然而，什麼因素會影響各階段的競爭關係，將是本研究的研究議題。
Lotka-Volterra Model係依據成長曲線發展用來探索兩種競爭物種之間交互作用的情況，故本研究以Lotka-Volterra Model作為研究架構，探討Android與iOS作業系統隨著時間變化所產生不同競爭的競爭關係。由於不同競爭關係有影響其關係之因素，因此，本研究利用擅長處理動態複雜系統且以回饋控制理論為基礎的「系統動態學」做為研究工具來建立Lotka-Volterra 競爭模型，以分析影響雙方競爭者銷售量的因果關係，並且模擬雙方之銷售量。模擬結果顯示，Lotka-Volterra 競爭模型具有合理的模擬能力，Lotka-Volterra 模型中的參數調整可提供雙方競爭者分析影響彼此銷售量之因素。此外，本研究在Lotka-Volterra 競爭模型加入雙方的應用軟體數(Application)之成長率，作為影響雙方競爭者銷售量的因子，並模擬雙方銷售量，模擬結果顯示，加入App成長率的Lotka-Volterra Model有更優良的模擬能力。因此，本研究提出之Lotka-Volterra競爭模型能利於分析雙方競爭者競爭關係與互動。

In recent years, the network and technology products often brought people a refreshing surprise and made a great change in lifestyle, which became more convenient and abundant. The case of smart phone can explain the situation clearly. The Android and the iOS systems are the major operating systems of mobile phone, and the consideration of operation system is one of the reasons of purchasing smart phones. The market status of iOS and Android are closed-end and open-end respectively, which are shown in different competitive relationships. This study would like to discuss the key factors which may affect the competitive relationship in different stages.
The Lotka-Volterra Model is based on the growth curve which is to discover the interaction between the two competitive species. And this article would like to utilize the Lotka-Volterra Model as a research framework and to discover the different competitive relationships. The ‘system dynamics’ is used as the research tool to build the competitive model of Lotka-Volterra. It is to analyze the impact of the two competitor’s sales and to simulate the sales. According to the simulation result which shows that the Lotka-Volterra competitive model holds a reasonable capability of simulation. Moreover, the parameter adjustment of Lotka-Volterra model provides the factors which affect the sales for both competitors. In addition, the growth rates of application of both sides are added in the Lotka-Volterra competitive model in order to simulate the sales for both sides. This article presents the results of simulation which may reveal the Volterra Model has a better simulation capability for smart phones market. Therefore, the Lotka-Volterra competitive model proposed in this study can be beneficial to the analysis of the competitive interaction relationship between two competitors.

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