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Modeling Information Diffusion in Online Social Networks with Partial Differential Equations

Part of the book series: Surveys and Tutorials in the Applied Mathematical Sciences ((STAMS,volume 7))

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Abstract

In this chapter we discuss a free boundary problem for reaction-diffusion logistic equations in online social networks. Specifically, we discuss several bifurcation and stability results for a nonautonomous diffusive logistic model in online social networks with Robin boundary conditions. In addition, we present Hopf bifurcation and spatial patterns of an epidemic-like rumor model for online social networks. Finally, we present traveling wave solutions of diffusive models and give long-term propagation rates of information diffusion in online social networks.

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Authors and Affiliations

  1. School of Mathematical & Natural Sciences, Arizona State University, Phoenix, AZ, USA

    Haiyan Wang, Feng Wang & Kuai Xu

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  1. Haiyan Wang
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  2. Feng Wang
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  3. Kuai Xu
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Wang, H., Wang, F., Xu, K. (2020). Mathematical Analysis. 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_7

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