Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes

Ifeanyi Sunday Onah, O. C. Collins
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引用次数: 10

Abstract

Lassa fever is an animal-borne acute viral illness caused by Lassa virus. It poses a serious health challenge around the world today, especially in West African countries like Ghana, Benin, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. In this work, we formulate a multiple-patch Lassa fever model, where each patch denotes a socioeconomic class (SEC). Some of the important epidemiological features such as basic reproduction number of the model were determined and analysed accordingly. We further investigated how varying SECs affect the transmission dynamics of Lassa fever. We analysed the required state at which each SEC is responsible in driving the Lassa fever disease outbreak. Sensitivity analyses were carried out to determine the importance of model parameters to the disease transmission and prevalence. We carried out numerical simulation to support our analytical results. Finally, we extend some of the results of the 2-patch model to the general - patch model.
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不同社会经济阶层拉沙热模型的动力系统分析
拉沙热是由拉沙病毒引起的动物传播的急性病毒性疾病。它今天在世界各地构成了严重的卫生挑战,特别是在加纳、贝宁、几内亚、利比里亚、马里、塞拉利昂和尼日利亚等西非国家。在这项工作中,我们制定了一个多斑块拉沙热模型,其中每个斑块表示一个社会经济阶层(SEC)。对模型的基本繁殖数等重要流行病学特征进行了确定和分析。我们进一步研究了不同SECs对拉沙热传播动力学的影响。我们分析了每个SEC在推动拉沙热病暴发中负责的必要状态。进行敏感性分析以确定模型参数对疾病传播和流行的重要性。我们进行了数值模拟来支持我们的分析结果。最后,我们将2-patch模型的一些结果推广到一般的-patch模型。
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