This paper describes a deterministic dynamical model of the epidemic spreading of disease. We introduce fundamental concepts from nonlinear dynamics and statistical physics, and use computer simulations that can be implemented by advanced undergraduate and by graduate students. It is shown that the model can describe real-world phenomena during an epidemic. Due to its simplicity and flexibility, the model is also a useful tool for research.
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See <https://elsenaju.eu/Calculator/ODE-System-2x2.htm> provides an online solver that can be used to verify solutions of Problem 13 and to experiment by changing system parameters and initial conditions, to also simulate the cases δ = 0 and/or γ = 0.
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2022
Author(s)
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