| 一类具有免疫和治疗的弓形虫病模型的一致持续生存 |
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| 引用本文： | 李君,霍海峰,林媚.一类具有免疫和治疗的弓形虫病模型的一致持续生存[J].兰州铁道学院学报,2011(3). |
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| 作者姓名： | 李君 霍海峰 林媚 |
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| 作者单位： | 兰州理工大学理学院; |
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| 基金项目： | 国家自然科学基金(10961018); 教育部科学技术研究重点项目(209131) |
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| 摘 要： | 研究一类猫种群同时具有免疫和治疗的弓形虫病数学模型,得到了弓形虫病流行的阈值条件R0.若R0<1,通过构造Lyapunov函数得到无病平衡点是全局渐进稳定的.当R0>1时,利用一致持续生存定理得到了弓形虫病是一致持续生存的.同时利用数值模拟说明结论的正确性,并对该传染病提出了一些可供参考的防治策略.
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| 关 键 词： | 免疫 传染病模型 一致持续生存 全局渐进稳定性 |
The Uniform Persistence of a Toxoplasmosis Disease Model with Vaccination and Treatment |
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| LI Jun,HUO Hai-feng,LIN Mei.The Uniform Persistence of a Toxoplasmosis Disease Model with Vaccination and Treatment[J].Journal of Lanzhou Railway University,2011(3). |
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| Authors: | LI Jun HUO Hai-feng LIN Mei |
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| Institution: | LI Jun,HUO Hai-feng,LIN Mei(School of Science,Lanzhou University of Technology,Lanzhou 730050,China) |
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| Abstract: | A mathematical model for the transmission of a toxoplasmosis disease in human and cat populations with vaccination and treatment is proposed and analyzed.Qualitative dynamic of the model is determined by the basic reproduction number,R0.If the threshold parameter R0<1,the solution converges to the disease free equilibrium point.On the other hand,if R0>1,toxoplasmosis disease is uniform persistence.At last,an example is given to explain our conclusions.At the same time,some control strategies to reduce toxop... |
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| Keywords: | vaccination epidemic model uniform persistence global asymptotic stability |
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