臺灣博碩士論文加值系統

在本論文，我們討論SEIV模型的全局動態，定義基本生成數。在基礎再生數小於1時，無疾病點是局部穩定和全局穩定。在基礎再生數大於1時，無疾病點變為不穩定，有唯一的內部平衡點是全局穩定。

In this thesis, we study the global dynamics of an SEIV epidemic model in which the acute and chronic stage are infective. The basic reproduction number, R0 is derived. The model always has a disease-free equilibrium. When R0 < 1, the disease-free equilibrium is globally stable. When R0 > 1, the disease-free equilibrium is unstable, and there exists an unique endemic equilibrium which is globally stable.

1 Introduction ………………………………3
2 Equilibria of the model …………………4
3 Dynamics of the case R0 < 1 …………6
4 Dynamics of the case R0 > 1 … ………9
5 Numerical examples …………………….17
6 Conclusions …………………………….…23

參 考 文 獻 (References) ……………………24

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