Mathematical Model of Political Rumour in Assakio Community with Conditional Latent Period in a Varying Population

1/1 «-its paper 1 rumour propagation model with conditional latent period and uarying population is considered. 111 tire literature, 12551081 model assume that an ignorant in d d u a l enters tire latent period and decide ■whether to become aspreader or stifler.ln our model roe introduce anew compartment called tire blackmailers, another type o f spreaders who spread the rumour for selfish reason. The model equations are first transformed into proportions, thus reducing the model equations from fine to four differeritial equations. The model exhibit two equilibra, namely the Rumour Tree Equilibrium RTEf and the Rumour Endemic Equilibrium REE). Using the method of linearized stability, we establish that the RTE state exist and is localhj asymptomatically stable when R٠<T and that when R٠ T the endemic state exist. The model US to discuss tire relationship between spreaders andbtackmailers, and the effect of blackmailers on the stiflers. Tinally, we present numerical simulations tliat show the impact o f political motivated rumours and how its control can be a c h ie d .