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math.AP2018
Curved fronts in a shear flow: case of combustion nonlinearities
Mohammad El Smaily
We prove the existence and uniqueness, up to a shift in time, of curved traveling fronts for a reaction-advection-diffusion equation with a combustion-type nonlinearity. The advect…
math.AP2018
A Leslie-Gower predator-prey model with a free boundary
Yunfeng Liu, Zhiming Guo, Mohammad El Smaily +1
In this paper, we consider a Leslie-Gower predator-prey model in one-dimensional environment. We study the asymptotic behavior of two species evolving in a domain with a free bound…