Abstract: In this paper, a deterministic mathematical model is formulated using epidemiological model approach composed by mutually exclusive spreader compartments of ISR (ignorant – spreaders – stiflers), which provides excellent explanations of the “psychological” effect with rumor spreading in emergency event. We showed that as time evolves rumor will seize spreading when R_o<1 or persists if R_o>1 by studying the stability of the rumor-free equilibrium and the rumor-endemic equilibrium. Finally, numerical simulation was performed in order to validate the analytical result and recommendations are explored in the case study of rumors propagated on unknown disease attacking students of College of Education Waka Biu upon arriving from Biology field trip that took place at Yankari game reserve in august 2019.
Keywords: Rumor spreading, Psychological effect, Reproduction number, Rumour free equilibrium, Rumor endemic equilibriums.
Title: Mathematical Model of the dynamics of Rumor Spreading with Psychological Effect in Emergency Event
Author: Mohammed Fori, Samuel Musa, Ibrahim Yakubu Mshalia, Salihu Saleh
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Research Publish Journals
