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- W4230682425 abstract "In this paper, a fractional order SIR rumour spreading model with time delay is investigated. The stability analysis and sufficient conditions for Hopf bifurcation are discussed. Firstly, a SIR rumour spreading model is established and the influence of time delay on rumour propagation is considered. According to the practical significance, the model is transformed into a fractional model, and the linearized system at the positive equilibrium point is obtained. The distribution of characteristic roots is discussed by calculating characteristic equations and the stability of the system at positive equilibrium point is studied. Then the bifurcation point is obtained by taking the time delay as the bifurcation parameter. The results show the stability at the positive equilibrium point of the system depends on the critical value of time delay. Eventually the accuracy of the conclusion is verified by numerical simulation." @default.
- W4230682425 created "2022-05-11" @default.
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- W4230682425 date "2021-10-22" @default.
- W4230682425 modified "2023-10-18" @default.
- W4230682425 title "Stability Analysis of A Fractional Rumor Spreading Model with Time Delay" @default.
- W4230682425 doi "https://doi.org/10.1109/cac53003.2021.9727447" @default.
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