文章基本信息

标题：Modeling co-dynamics of pneumonia and meningitis diseases
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作者：Getachew Teshome Tilahun
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-18
DOI：10.1186/s13662-019-2087-3
出版社：Hindawi Publishing Corporation
摘要：In this paper an SIR deterministic mathematical model for co-infection of pneumonia and meningitis is proposed. We use a seven compartment model by using ordinary differential equations. The positivity of future solution of the model, the invariant region, and disease-free as well as endemic equilibrium are studied. To study the stability of the equilibria, a basic reproduction number is obtained by using the next generation matrix. The robustness of the model is also investigated. To identify the effect of each parameter on the expansion or control of the diseases, sensitivity analysis is performed. The effects of treating pneumonia infected only, meningitis infected only, and co-infected individuals have been identified by using the numerical simulation.
关键词：Co-infection ; Pneumonia ; Meningitis ; Stability ; Numerical simulation