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math.AP2022
Asymptotic regimes of an integro-difference equation with discontinuous kernel
Omar Abdul Halim, Mohammad El Smaily
This paper is concerned with an integral equation that models discrete time dynamics of a population in a patchy landscape. The patches in the domain are reflected through the disc…
math.AP2022
The optimal initial datum for a class of reaction-advection-diffusion equations
Omar Abdul Halim, Mohammad El Smaily
We consider a reaction-diffusion model with a drift term in a bounded domain. Given a time we prove the existence and uniqueness of an initial datum that maximizes the total m…