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Mathematical Model for Lassa Fever Transmission and Control

机译:榻榻米发热传输与控制的数学模型

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Lassa fever is an acute hemorrhagic zoonotic illness (possible transmission from infected animals to humans), caused by Lassa virus whose reservoir host is the Mastomys natalensis (Rodent). It is a disease with a duration of 2-21 days that strives more in African nations and countries with poor water and environmental sanitation. In this paper, a deterministic model for Lassa fever is formulated buttressing the various stages of infection of the disease. We studied the existence and uniqueness of the solutions. The steady states of the model are determined and the basic reproduction number is analyzed with a threshold parameter R_0 which shows persistence of the disease if and only if R_01 using the next generation matrix. The treatment strategies considered amidst others are the use of antiviral drug and to quarantine infected individuals on early diagnosis of the infection on the asymptomatic and symptomatic individuals respectively. Numerically, it was evidential that the quarantine system has a great positive effect on the rate of recovery of the infected individuals and also in curbing the risk of infection in the environment which can help safeguard the population. A relapse on this method will lead to reinfection of the disease thereby bringing the population to a point of danger.
机译:兰萨发烧是一种急性出血性的动物疾病(来自受感染的动物到人类可能的传播),由兰萨病毒引起的储层宿主是乳腺腺体(啮齿动物)。持续时间为2-21天的疾病,致力于非洲国家和水域差,环境保护差的国家。本文中,制定了叶片发热的确定性模型,其特征在于疾病的各种感染阶段。我们研究了解决方案的存在和唯一性。确定模型的稳定状态,并通过阈值参数R_0分析基本再现次数,该阈值参数R_0显示疾病持久性,如果使用下一代矩阵,则才能且仅当r_0> 1。在其他人中考虑的治疗策略是使用抗病毒药物和检疫感染的个体分别对无症状症状的感染早期诊断。在数值上,证实是检疫系统对受感染的个体的恢复速度具有很大的积极作用,以及抑制了可以帮助保护人口的环境中感染的风险。这种方法的复发将导致对疾病的再感染,从而将人口带到危险程度。

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