Abstract
In this chapter we consider a number of ordinary differential equation models for diffusion of innovation and epidemiological models. We discuss the classical theory on diffusion of innovation, emphasizing online social networks and analyzing several ordinary differential equation models for innovation diffusion. We also present a number of basic compartment epidemiological models and their applications in online social networks, and finally we discuss SIR models and their extensions when the total population is not constant.
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Wang, H., Wang, F., Xu, K. (2020). Ordinary Differential Equation Models on Social Networks. In: Modeling Information Diffusion in Online Social Networks with Partial Differential Equations. Surveys and Tutorials in the Applied Mathematical Sciences, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-030-38852-2_2
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DOI: https://doi.org/10.1007/978-3-030-38852-2_2
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