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Mathematics of a model for Zika transmission dynamics.
Theory in Biosciences ( IF 1.1 ) Pub Date : 2018-10-22 , DOI: 10.1007/s12064-018-0272-7
Y A Terefe 1 , H Gaff 2 , M Kamga 3 , L van der Mescht 4
Affiliation  

Zika is a flavivirus transmitted to humans through either the bite of infected Aedes mosquitoes or sexual intercourse with infected individuals. In this paper, we present a mathematical model based on these two modes of transmission. Using the next-generation matrix method, a threshold parameter called basic reproduction number is determined. Sensitivity analysis of the basic reproduction number in terms of parameters involved in its formulation is discussed. A dynamically consistent nonstandard finite difference scheme is designed to replicate the properties of the continuous model. Numerical simulations of the nonstandard finite difference scheme that we have constructed show the number of infected humans due to sexual intercourse with Zika virus infectious individuals. The numerical simulations also support the theoretical analysis of the model.

中文翻译:

寨卡病毒传播动力学模型的数学。

寨卡病毒是一种黄病毒,通过受感染的伊蚊叮咬或与受感染者的性交传播给人类。在本文中,我们提出了一个基于这两种传输模式的数学模型。使用下一代矩阵方法,确定称为基本再生数的阈值参数。讨论了根据公式中涉及的参数对基本再生数的敏感性分析。动态一致的非标准有限差分方案旨在复制连续模型的属性。我们构建的非标准有限差分方案的数值模拟显示了由于与寨卡病毒感染者性交而感染的人类数量。数值模拟也支持模型的理论分析。
更新日期:2018-10-22
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