Sensitivity and mathematical model analysis on secondhand smoking tobacco | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 28, Issue 1, June 2020, Pages 1-16 PDF (2.4 M) | ||
| DOI: 10.1186/s42787-020-00108-1 | ||
| Authors | ||
| Birliew Fekede; Benyam Mebrate | ||
| Department of Mathematics, Wollo University, 1145 Dessie, Ethiopia | ||
| Abstract | ||
| In this paper, we are concerned with a mathematical model of secondhand smoker. The model is biologically meaningful and mathematically well posed. The reproductive number R0 is determined from the model, and it measures the average number of secondary cases generated by a single primary case in a fully susceptible population. If R0 < 1, the smoking-free equilibrium point is stable, and if R0 > 1, endemic equilibrium point is unstable. We also provide numerical simulation to show stability of equilibrium points. In addition, sensitivity analysis of parameters involving in the dynamic system of the proposed model has been included. The parameters involving in reproductive number measure the relative change in R0 when the value of the parameter changes. | ||
| Keywords | ||
| Secondhand smoker; Reproduction number; Endemic equilibrium point; Sensitivity analysis | ||
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