A deterministic model of the spread of scam rumor and its numerical simulations

E.A. Nwaibeh and C.R. Chikwendu

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 207, issue C, 111-129

Abstract: In an attempt to illustrate the dynamics of the spread of scam rumors and its impact in a heterogeneous population or social network we adopt the epidemiological model approach. In this work the SpEIsScSt (Susceptible, Exposed, Ignorant, Scammers and Stiflers) model was developed. A diagrammatic representation of the flow of individuals from one class/group to another is given from which a system of five differential equations are obtained. The Basic reproduction number, the equilibrium point of scam rumor-free and the endemic equilibrium state were obtained and discussed. For the local stability of the scam rumor-free and endemic equilibrium state the Next Generation Matrix was used. We were able to show the conditions for the existence of global stability by defining a Lyapunov function with respect to the state variables. Numerical simulation of the system was carried out in order to get a clear picture of the dynamics of the spread of scam rumor in a population or social networks, its impact in a population, and the efficiency of government/admin policies in curbing the spread of scam rumor.

Keywords: Scam rumor; Reproduction number; Equilibrium point; Stability; Lyapunov function (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:207:y:2023:i:c:p:111-129

DOI: 10.1016/j.matcom.2022.12.024

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