Open AccessA Mathematical Model of Political Rumour in Assakio Community with Conditional Latent Period in a Varying Population
Author(s) -
Atanyi Yusuf Emmanuel,
Imam Akayede,
A. S Olagunju,
Aimufua Aimufua,
Apene Oghenevovwero Zion,
Umar Sani,
Saidu Isah
Publication year - 2022
Publication title -
dutse journal of pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2635-3490
pISSN - 2476-8316
DOI - 10.4314/dujopas.v7i3a.22
Subject(s) - stability (learning theory) , population , mathematical economics , epidemic model , mathematics , politics , rumor , econometrics , period (music) , computer science , physics , sociology , demography , political science , law , machine learning , acoustics
In this paper a rumour propagation model with conditional latent period and varying population is considered. In the literature, classical model assume that an ignorant individual enters the latent period and decide whether to become a spreader or stifler. In our model we introduce a new compartment called the blackmailers, another type of spreaders who spread the rumour for selfish reason. The model equations are first transformed into proportions, thus reducing the model equations from five to four differential equations. The model exhibit two equilibra, namely the Rumour Free Equilibrium (RFE) and the Rumour Endemic Equilibrium (REE). Using the method of linearized stability, we establish that the RFE state exist and is locally asymptomatically stable when R0 1 the endemic state exist. The model allows us to discuss the relationship between spreaders and blackmailers, and the effect of blackmailers on the stiflers. Finally, we present numerical simulations that show the impact of political motivated rumours and how its control can be achieved.
Keywords: Rumor propagation, Political motivated rumour, Epidemiological models; stability analysis, Transition parameter