Otoo Dominic, Opoku Patrick, Charles Sebil, Kingsley Asekiya Prince
Department of Mathematics & Statistics, School of Science, University of Energy & Natural Resources, Sunyani, Ghana.
Department of Mathematics, Faculty of Physical and Computational Science, College of Science,Kwame Nkrumah University of Science & Technology, Kumasi, Ghana.
Infect Dis Model. 2019 Dec 6;5:42-60. doi: 10.1016/j.idm.2019.11.001. eCollection 2020.
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 . For , 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.
肺炎链球菌是6岁以下儿童和老年人致残和死亡的主要原因之一，尤其是在发展中国家，本研究地区加纳也不例外。本文建立并分析了一个包含有症状携带者、无症状携带者和疫苗接种的细菌性肺炎传播与控制模型，以确定疫苗接种干预的效果。系统分析表明，当且仅当基本再生数 时，无病平衡点是稳定的。对于 ，地方病平衡点是全局稳定的，疾病持续存在。对该系统的数值模拟表明，通过有效的疫苗干预，从长远来看肺炎感染可以根除。
