Modeling the effect of contaminated object, vaccination and treatment on the diseases epidemiology

Document Type : Original Article

Authors
Arkan Nawzad Mustafa 1
Hanaa Jamal Ahmad 2
1 University of Sulauimani
2 University of Sulaimani
10.24271/psr.2022.330125.1119
Abstract
In this paper, the effect of contaminated object on an SIRS Model with vaccination and hospitalization compartments is modeled. Positivity and boundedness properties of the solutions of model are proved, basic reproduction number of the model is founded through criteria which make the eigen values of the Jacobean matrix at the disease free equilibrium point, negative. Globally stability analysis of the disease free equilibrium point is proved when the basic reproduction number is less than unity and the vaccination efficacy approaches unity. The existence, uniqueness of the endemic equilibrium point are investigated when the basic reproduction number greater than unity. Parameter values regarding to spreading covid-19 in Kurdistan region are estimated. Finally, sensitivity analysis of the reproduction number is carried out.
Keywords
epidemic model
basic reproduction number
stability analysis
sensitivity analysis
Crossmark
Subjects
Passer Journal of Basic and Applied Sciences
Volume 4, Issue 2
December 2022
Pages 105-112