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math.DS2026
On the Spread of a Virus and Traveling Waves, Part I
Yizhou Wang, Akif Ibragimov
This paper develops a one-dimensional model for a mobile viral component propagating through a spatially distributed susceptible population. Random viral motion produces diffusion,…
math.DS2022
Einstein's Brownian motion model for chemotactic system and traveling band
Rahnuma Islam, Akif Ibragimov
We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate…