登革热流行的数学建模与模拟

2018 International Conference on Applied and Engineering Mathematics (ICAEM) Pub Date : 2018-09-01 DOI:10.1109/ICAEM.2018.8536289

Didar Murad, N. Badshah, S. Ali

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引用次数: 4

摘要

提出并分析了登革热的确定性模型。在研究疾病传播动力学的建模中，发现了诸如再繁殖比$R_{0}$之类的阈值量和诸如无病平衡$E_{0}$和疾病存在平衡$E^{*}$之类的平衡状态。最后，对疾病流行的易感人群、感染人群和恢复人群的状态变量进行了数值模拟。

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Mathematical Modeling and Simulation for the Dengue Fever Epidemic

A deterministic model for the dengue disease is proposed and analyzed. In modeling to examine transmission dynamics of the disease, threshold quantity like re-breeding ratio $R_{0}$ and equilibrium states such as disease free equilibrium $E_{0}$ and disease present equilibrium $E^{*}$ are found. Lastly, numerical simulations for the state variables susceptible, infected and recovered human populations are presented for the disease epidemic.

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2018 International Conference on Applied and Engineering Mathematics (ICAEM)

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