具有超级感染和Ｌｏｇｉｓｔｉｃ 增长的两菌株传染病模型. (Chinese)

Ａ Ｔｗｏ⁃ｓｔｒａｉｎ Ｅｐｉｄｅｍｉｃ Ｍｏｄｅｌ ｗｉｔｈ Ｓｕｐｅｒ⁃ｉｎｆｅｃｔｉｏｎ ａｎｄ Ｌｏｇｉｓｔｉｃ Ｇｒｏｗｔｈ (English)

Ｔｈｅ ｄｙｎａｍｉｃｓ ｏｆ ａ ｔｗｏ-ｓｔｒａｉｎ ｍｏｄｅｌ ｗｉｔｈ ｓｕｐｅｒｉｎｆｅｃｔｉｏｎ ａｎｄ Ｌｏｇｉｓｔｉｃ ｇｒｏｗｔｈ ｉｓ ｆｏｒｍｕｌａｔｅｄ． Ｆｉｒｓｔｌｙ， ｔｈｅ ｎｏｎｎｅｇａｔｉｖｉｔｙ ａｎｄ ｂｏｕｎｄｅｄｎｅｓｓ ｏｆ ｔｈｅ ｓｏｌｕｔｉｏｎ ｏｆ ｔｈｅ ｍｏｄｅｌ ｉｓ ｐｒｅｓｅｎｔｅｄ； Ｓｅｃｏｎｄｌｙ， ｔｈｅ ｅｘｉｓｔｅｎｃｅ ａｎｄ ｌｏｃａｌ ｓｔａｂｉｌｉｔｙ ｏｆ ｔｈｅ ｅｑｕｉｌｉｂｒｉａ ａｒｅ ｄｉｓｃｕｓｓｅｄ； Ｆｉｎａｌｌｙ， ｂｙ ｃｏｎｓｔｒｕｃｔｉｎｇ Ｌｙａｐｕｎｏｖ ｆｕｎｃｔｉｏｎ ａｎｄ ＬａＳａｌｌｅ ｉｎｖａｒｉａｎｔ ｐｒｉｎｃｉｐｌｅ， ｔｈｅ ｇｌｏｂａｌ ｓｔａｂｉｌｉｔｙ ｏｆ ｓｕｃｈ ｅｑｕｉｌｉｂｒｉａ ｉｓ ｏｂｔａｉｎｅｄ． Ｎｕｍｅｒｉｃａｌ ｓｉｍｕｌａｔｉｏｎｓ ａｒｅ ｃａｒｒｉｅｄ ｏｕｔ ｔｏ ｖａｌｉｄａｔｅ ｔｈｅ ｔｈｅｏｒｅｔｉｃａｌ ｒｅｓｕｌｔｓ． [ABSTRACT FROM AUTHOR]

研究一类具有Ｌｏｇｉｓｔｉｃ 增长和超级感染的两菌株传染病模型．首先，证明模型解的非负性和有界 性；其次，讨论平衡点的存在性和局部稳定性；最后，运用Ｌｙａｐｕｎｏｖ 函数方法与ＬａＳａｌｌｅ 不变集原理得出其全局 稳定性，并通过数值模拟验证了理论结果． [ABSTRACT FROM AUTHOR]

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