The stochastic evolution of a rumor spreading model with two distinct spread inhibiting and attitude adjusting mechanisms in a homogeneous social network

Ming Li, Hong Zhang, Paul Georgescu and Tan Li

Physica A: Statistical Mechanics and its Applications, 2021, vol. 562, issue C

Abstract: In this paper, we propose and analyze from a stability viewpoint a deterministic, ODE-based class of rumor spreading models with two distinct inhibiting and adjusting mechanisms, together with its corresponding stochastic counterpart. For the deterministic model, a threshold parameter R0 defined ad hoc, called the basic influence number, is used to ascertain whether the rumors are prevailing or not. If R0<1, the rumor-free equilibrium is found to be locally asymptotically stable, while if R0>1 it is shown that there is at least one additional rumor-prevailing equilibrium, which is necessarily locally asymptotically stable. For the stochastic model, we first show that there exists a unique global solution. Subsequently, we investigate the asymptotic behavior of the stochastic system around the equilibria of the deterministic system by constructing suitable Lyapunov functionals. Furthermore, numerical simulations are given to illustrate, support and enhance our theoretical analysis.

Keywords: Rumor spreading; Basic influence number; Inhibiting and adjusting mechanisms; Deterministic model; Stochastic model (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:562:y:2021:i:c:s0378437120306968

DOI: 10.1016/j.physa.2020.125321

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