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Your search keyword '"Zhu, Linhe"' showing total 3 results
3 results on '"Zhu, Linhe"'

1. Dynamical analysis of a rumor spreading model with self-discrimination and time delay in complex networks.

Author

Zhu, Linhe and Guan, Gui

Subjects
*GLOBAL asymptotic stability, *MEAN field theory, *RUMOR, *BASIC reproduction number, *TIME delay systems, *DYNAMICAL systems, *LYAPUNOV functions
Abstract

Considering the ability of network users to distinguish and refute the rumor, we establish a Susceptible–Believed–Denied (SBD) rumor spreading model with nonlinear incidence rate and time delay in complex networks. Specifically, two dynamical systems of rumor propagation are given based on the mean field theory in homogeneous and heterogeneous networks respectively. Then, we obtain the equilibrium points of the systems and calculate the basic reproduction number R 0 according to the next generation matrix in homogeneous networks and the existence of a positive equilibrium point in heterogeneous networks. The local and global asymptotic stabilities of the rumor-free equilibrium points are demonstrated by constructing Lyapunov functions under the given condition R 1 ≤ 1. Further, we perform representative numerical simulations to illustrate the theoretical results. Through simulation experiments, the dynamics around the rumor-spreading equilibrium points when R 0 > 1 are also discussed to complement some dynamical properties of our models. • This paper presents a novel SBD rumor spreading model combined with classifying thought. • Comparative analysis of homogeneous and heterogeneous networks is numerically given. • Stability is proved in a strict mathematical way. [ABSTRACT FROM AUTHOR]

Published
2019
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2. Dynamical behaviors and optimal control of delayed S2IS rumor propagation model with saturated conversion function over complex networks.

Author

Ding, Nana, Guan, Gui, Shen, Shuling, and Zhu, Linhe

Subjects
*RUMOR, *OPTIMAL control theory, *BASIC reproduction number, *STABILITY theory, *LYAPUNOV stability, *HOPFIELD networks
Abstract

Nowadays, online information is disseminated in multiple languages on different platforms, and research on the dissemination trend and control of online rumors is a topic worth discussing. In the bilingual environment, we study the S 2 I S rumor propagation model with time delay and saturated conversion function which implies the limitation of resources in homogeneous and heterogeneous networks. First and foremost, the analysis of the boundedness of the solutions and the existence of the rumor-spreading equilibrium points is given in our work, and we figure out the basic reproduction number. Next, we conduct the local stability analysis of the rumor-free equilibrium point and the rumor-spreading equilibrium points according to the characteristic equation. The global stability of the rumor-free equilibrium point is shown based on the Lyapunov stability theory. Besides, we study the forward and backward bifurcation phenomenon and optimal control problem in theory, which is seldom discussed in the bilingual environment. Finally, numerical simulations are performed to verify the correctness of our main results. • This paper establishes a S2IS rumor propagation model with saturated conversion function. • Stability analysis and bifurcation phenomenon are investigated in theory. • Optimal control strategy is theoretically given by studying optimal system. [ABSTRACT FROM AUTHOR]

Published
2024
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