Study on SIR Epidemic Model with Constant Vaccination: A Differential Transformation Approach | Chapter 10 | Current Approaches in Science and Technology Research Vol. 12

Vaccination initiatives have resulted in significant levels of permanent protection against the childhood disease in the general population over the years. Infectious disorders affecting children are the most common. In this paper, a SIR model is created to track the temporal dynamics of a childhood disease in the presence of a preventative vaccine. For disease control and eradication, the qualitative analysis provides the vaccine reproductive number R V. The goal of this study is to use the differential transformation method (DTM) to compute an approximation to the solution of the problem's nonlinear system of differential equations. To demonstrate the answers, graphical results are provided and quantitatively discussed.

Author (S) Details

S. F. M. Ibrahim
Department of Mathematics, Faculty of science For Girls, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia and Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt.

Soad Moftah Ismail
Department of Basic science, Faculty of Engineering, Misr University For Science &Technology, Al-Motamayez District, 6Th of October City, Egypt.

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