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Global existence and uniform boundedness in advective Lotka-Volterra competition system with nonlinear diffusion
[article]
2016
arXiv
pre-print
This paper investigates reaction-advection-diffusion systems with Lotka-Volterra dynamics subject to homogeneous Neumann boundary conditions. Under conditions on growth rates of the density-dependent diffusion and sensitivity functions, we prove the global existence of classical solutions to the system and show that they are uniformly bounded in time. We also obtain the global existence and uniform boundedness for the corresponding parabolic-elliptic systems. Our results suggest that attraction
arXiv:1605.05308v1
fatcat:d5wykxwgxfeivnaxpw6od7hul4