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Theses/Dissertations

University of Central Florida

2021

Medicine and Health Sciences

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Modeling And Analysis Of Covid-19 And Dynamical Systems In Biology And Physics, Vladimir Grbic Jan 2021

Modeling And Analysis Of Covid-19 And Dynamical Systems In Biology And Physics, Vladimir Grbic

Honors Undergraduate Theses

In this paper, we study various examples of dynamical systems found in nature and extract the necessary concepts to build upon. Then, we develop and propose a new deterministic model for COVID-19 propagation. Our model should serve two purposes. First, we will approximate the infected and deceased individuals after a given time during the pandemic. Then, using a linearized subsystem describing infectious compartments about the disease- free equilibrium (DFE), we will determine the basic reproductive number (R0) by the next-generation matrix method.