当前位置: X-MOL 学术J. Egypt. Math. Soc. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Mathematical modeling of the impact of treatment on the dynamics of typhoid
Journal of the Egyptian Mathematical Society Pub Date : 2021-07-02 , DOI: 10.1186/s42787-021-00125-8
Halson O. Nyaberi 1 , Jane S. Musaili 2
Affiliation  

In this paper, we propose a mathematical model for the transmission of typhoid which analyzes the impact of treatment of the infected individuals on the dynamics of the disease. The model consists of human population and pathogen population. The human population is subdivided into three compartments, namely susceptible individuals, infected individuals, and recovered individuals and pathogen population comprises one compartment. We derived the basic reproduction number $${\mathcal {R}}_0$$ , and analyzed the dynamical behaviors of both disease free equilibrium and endemic equilibrium by the theory of ordinary differential equations. Using MATLAB, we carried out numerical simulation and the findings indicate that effective treatment is adequate in eradicating typhoid fever.

中文翻译:

治疗对伤寒动力学影响的数学建模

在本文中,我们提出了一种伤寒传播的数学模型,该模型分析了对感染者的治疗对疾病动态的影响。该模型由人类种群和病原体种群组成。人群被细分为三个区室,即易感个体、感染个体和康复个体,病原体种群包括一个区室。我们导出了基本再生数$${\mathcal {R}}_0$$ ,并通过常微分方程理论分析了无病平衡和地方病平衡的动力学行为。我们使用MATLAB进行数值模拟,结果表明有效治疗足以根除伤寒。
更新日期:2021-07-02
down
wechat
bug