| 一类与传染病模型有关的积分方程的定性性质 |
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| 引用本文： | 屈英.一类与传染病模型有关的积分方程的定性性质[J].生物数学学报,2010(4):647-652. |
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| 作者姓名： | 屈英 |
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| 作者单位： | 中央财经大学应用数学学院,北京100081 |
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| 摘 要： | 证明了一类与传染病模型有关的积分方程解的唯一性,整体存在性和当t→∞时收敛到零的若干充分条件.利用Banach不动点定理证明了存在性结果,利用一个新的积分不等式证明了收敛性结果.
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| 关 键 词： | 积分方程 积分不等式 传染病模型 |
Qualitative Behaviour for a Class of Integral Equations Related to Some Epidemic Model |
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| QU Ying.Qualitative Behaviour for a Class of Integral Equations Related to Some Epidemic Model[J].Journal of Biomathematics,2010(4):647-652. |
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| Authors: | QU Ying |
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| Institution: | QU Ying (School of Applied Mathematics,Central University of Finance and Economics,Beijing 100081 China) |
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| Abstract: | Sufficient conditions for the uniqueness,global existence and the convergence to zero when t→∞of solutions for a class of integral equations related to an epidemic model are proved.The existence result is proved by applying the Banach fixed point theorem and for the proof of the convergence result a new type of integral inequality is used. |
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| Keywords: | Integral equation Integral inequality Epidemic model |
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