Mathematical model studying the effect of vaccination rate on the spreading of respiratory system virus

Jaafar, Mohanad N.; Mohammed, Areej Salah; Huisen, Reem Waleed

doi:10.47974/JIM-1581

Open Access Research Article

Mathematical model studying the effect of vaccination rate on the spreading of respiratory system virus

^*Mohanad N. JaafarCorresponding authormuhanned.n.j@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BagdadBaghdad, IraqView full profile → , Areej Salah Mohammedareej.s.m@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BagdadBaghdad, IraqView full profile → , Reem Waleed Huisenreem.w.h@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BagdadBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1563–1569Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1581XML

Published Online:: 01 Nov 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1581
Pages:: 1563–1569

Abstract

This research try to study how vaccination rate and vaccine efficiency can affect the infection by respiratory system viruses using dynamical system. Depending on epidemiological state of the study community we divided it into four group : S (healthy),V (who get vaccine), I (who get infection) and Q (who attended to health quarantine). By solving all the equations of system we can found that the system has two equilibrium point. On the other hand the system was locally analyzed. And the numerical analysis of the system showed that rapid increase in infection rate when we have low vaccination rate and decrease in infection rate when increase vaccination rate and also explain how vaccine efficiency effect on development and spreading of disease.

Keywords

Dynamical system Covid-19 Respiratory system viruses Vaccine rate Vaccine efficiency SVIQ model

Subject Classifications

00A7103C10

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