A Differential Model Of The Spatial Spread Of Information
Agwu I. A, Abdulrahman S, Kalu A.U, Inyama S. C
Index Terms-spatial spread, diffusion, information wave, informed-uninformed class, oscillatory behavior, linearize stability
Abstract: Sociologists recognize phenomenon called social diffusion, which is the spreading of a piece of information, a technological innovation or a cultural fad among a population. This paper, proposes a differential model of the spread of information among a population whose size is known. The members of the population N(x,t) are grouped into two classes according to their information status: informed class I(x,t) and uninformed class U(x,t).We incorporated a diffusion term into the system as a tool for spreading information over significant distances. We investigate the spatial spread of an information into a uniform population of uninformed .Coupled conditions on threshold parameters which determine whether information will flow or not and condition for the existence of such travelling information wave and speed of propagation of information are determined. The system shows possibility of oscillatory behavior and stable dynamics
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