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has been cited by the following article:

• TITLE: Modeling the Infection Disease (Covid-19) and the Effect of Vaccination

  AUTHORS: Hanadi Alzubadi

  KEYWORDS: SIR Model, SEIR Model, COVID-19, Travelling Wave, Vaccine Effect, Numerical Solution

  JOURNAL NAME: Applied Mathematics, Vol.14 No.7, July 13, 2023

  ABSTRACT: In this paper we provide different types of approach in mathematical biology about infection disease and understanding the dynamic of epidemic mathematical models specially in COVID-19 disease which first outbroke in China and fast spread around the world. We work in the connection between the mathematical models and the solution analytically and numerically. At first, we emphasize the Susceptible-Infectious-Recovered (SIR) models’ extension for policy significance. Then, we found the improved SIER model done by research. In third section, we examine the improved model when an appropriate vaccine has been found, we introduce the model of SIR with vaccine term which ends up with discussion and conclusion about the effect of vaccinate. The comprehension of COVID-19 transmission methods, structures, and characteristics is greatly aided by these mathematical models analytically and numerically.