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Complex dynamic behavior of a rumor propagation model with spatial-temporal diffusion terms
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A spatial-temporal rumor propagation model with discrete and non-local delays is regarded.

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Stability and Hopf bifurcation are proved in a strict mathematical way.

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Sensitivity analysis is applied to search active parameters.

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Hopf bifurcation causes an oscillation phenomenon in this model.

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Numerical simulations provide a new insight into rumor spreading in online social networks.

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