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dc.contributor.author林煜程zh_TW
dc.contributor.author庄重zh_TW
dc.contributor.authorLin, Yu-Chenen_US
dc.contributor.authorJuang, Jonqen_US
dc.date.accessioned2018-01-24T07:41:18Z-
dc.date.available2018-01-24T07:41:18Z-
dc.date.issued2017en_US
dc.identifier.urihttp://etd.lib.nctu.edu.tw/cdrfb3/record/nctu/#GT070452308en_US
dc.identifier.urihttp://hdl.handle.net/11536/141702-
dc.description.abstract在这篇论文中,我们考虑一个有分布时滞的传染病模型在均匀
网路里,这个模型由两个均匀的网路所组成,且假设时滞只在疾病
传染时才发生,在资讯传播时不发生时滞。 在这个模型里有三个正
的固定点E1、E2、E3,分别代表疾病与资讯不爆发、疾病不爆发资
讯爆发和疾病与资讯爆发。 以下是我们主要的结果。 第一、证明
了这个模型里E3 是一致持续生存的。 第二、证明了E1 的全局稳定
性。 第三、证明了E2 的全局稳定性。 第四、证明了对于够小的时
滞,E3 的全局稳定性。
zh_TW
dc.description.abstractIn this paper, we consider an epidemic model in well-mixed multiplex networks with distributed time delay. Specifically, the model consists of two layers of well-mixed networks, where two diffusive processes on the
same individual interacting and affecting each other. We assume that there is a distributed time delay for an individual getting infected and no delay for an individual changing one’s status from unawareness to
awareness. There are three possible equilibria E1, E2 and E3, called disease and information free equilibrium, disease free and information saturated equilibrium and endemic and information saturated equilibrium, in this model. Our main result contain the following. First, we prove the uniform persistence of the model for parameter region yielding E3. Second, it is shown that E1 is globally stable for any time delay. Third, we prove that E2 is globally stable for any time delay. Finally, With help of the uniform persistence, we shoe that there exists a H*>0 such that E3 is globally stable for time delay less than H*.
en_US
dc.language.isozh_TWen_US
dc.subject分布时滞zh_TW
dc.subject一致持续生存zh_TW
dc.subject全局稳定性zh_TW
dc.subjectDistributed time delayen_US
dc.subjectUniform persistenceen_US
dc.subjectGlobal stabilityen_US
dc.title在均匀多层次网路且有分布时滞的传染病模型zh_TW
dc.titleEpidemic Model in Well-Mixed Multiplex Network with Distributed Time Delayen_US
dc.typeThesisen_US
dc.contributor.department应用数学系数学建模与科学计算硕士班zh_TW
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