臺灣博碩士論文加值系統

本篇論文主要探討具時滯參數之漁業資源系統的動態行為。首先，我們給定一組此系統正均衡點唯一存在的充分條件；進而我們推導出系統唯一正均衡點在具時滯參數時其局部及整體穩定性的充分條件。最後；我們舉例來說明上述結果。

In this thesis, we analyse a time-delay model to study the dynamics of fishery resource system. Firstly, we propose a criteria for the unique positive equilibrium point of the system. Secondly, we derive different sufficient conditions for local and global stability of the positive equilibrium point. Finally, we illustrate our results by some examples.

Abstact i
1 Introduction 1
2 Preliminaries 3
3 The Model 5
3.1 Formulation of the Model. . . . . . . . . . . . . . . . . . 5
3.2 Existence and Uniqueness of Positive Equilibrium Point . . . 6
4 Local Stability 7
5 Uniform Persistence 12
6 Global Asymptotical Stability 19
7 Example 29
References 32

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