Mathematical modeling of the impact of treatment on the dynamics of typhoid | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 29, Issue 1, 2021, Pages 1-11 PDF (1.78 M) | ||
| Document Type: Original Article | ||
| DOI: 10.1186/s42787-021-00125-8 | ||
| Authors | ||
| Halson O. Nyaberi* 1; Jane S. Musaili2 | ||
| 1Department of Mathematics, The Technical University of Kenya, Nairobi, Kenya. | ||
| 2Department of Mathematics, Laikipia University, Laikipia, Kenya. | ||
| Abstract | ||
| 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 R0, and analyzed the dynamical behaviors of both disease free equilibrium and endemic equilibrium by the theory of ordinary diferential equations. Using MATLAB, we carried out numerical simulation and the fndings indicate that efective treatment is adequate in eradicating typhoid fever. | ||
| Keywords | ||
| Typhoid; Basic reproduction number; Stability | ||
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