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Deterministic epidemic model for (SVC_(Sy)C_(Asy)IR) pneumonia dynamics, with vaccination and temporal immunity

作     者:Dominic Otoo Patrick Opoku Sebil Charles Asekiya Prince Kingsley 

作者机构:Department of Mathematics&StatisticsSchool of ScienceUniversity of Energy&Natural ResourcesSunyaniGhana Department of MathematicsFaculty of Physical and Computational ScienceCollege of ScienceKwame Nkrumah University of Science&TechnologyKumasiGhana 

出 版 物:《Infectious Disease Modelling》 (传染病建模(英文))

年 卷 期:2020年第5卷第1期

页      面:42-60页

学科分类:1204[管理学-公共管理] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 1002[医学-临床医学] 1001[医学-基础医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 0701[理学-数学] 10[医学] 

主  题:Asymptomatic carriers Morbidity Mortality Pneumonia Symptomatic carriers Vaccination 

摘      要:Streptococcus pneumonia is one of the leading causes of mobility and mortality in children under 6 years and the elderly especially in developing countries in which Ghana,the study area is not an exception.In this paper,a model of the spread and control of bacterial pneumonia that include symptomatic carriers,asymptomatic carriers and vaccination is formulated and analyzed to determine the effect of the vaccination intervention.Analysis of the system show that the disease free equilibrium is stable if and only if the basic reproductive number R01.For R01,the endemic equilibrium is globally stable and the disease persist.Numerical simulation on the system show that with effective vaccine intervention pneumonia infection can be eradicated in the long term.

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