Existence and uniqueness of a Lotka–Volterra reaction–diffusion model with advection term

Cantrell, 2004 Guo, 2016, Stability and bifurcation in a delayed reaction–diffusion equation with Dirichlet boundary condition, J. Nonlinear Sci., 26, 545, 10.1007/s00332-016-9285-x Kuto, 2004, Stability of steady-state solutions to a preyCpredator system with cross-diffusion, J. Differential Equations, 197, 293, 10.1016/j.jde.2003.10.016 Lam, 2012, Uniqueness and complete dynamics in heterogeneous competition-diffusion systems, J. SIAM J. Appl. Math., 72, 1695, 10.1137/120869481 Sun, 2014, A nonlocal dispersal equation arising from a selection-migration model in genetics, J. Differential Equations, 257, 1372, 10.1016/j.jde.2014.05.005 Wang, 2013, Effect of cross-diffusion on the stationary problem of a diffusive competition model with a protection zone, Nonlinear Anal. RWA, 14, 224, 10.1016/j.nonrwa.2012.06.001 Ma, 2016, Stability and bifurcation in a diffusive Lotka–Volterra system with delay, J. Comput. Math. Appl., 72, 147, 10.1016/j.camwa.2016.04.049 Cantrell, 1999, On the effects of spatial heterogeneity on the persistence of interacting species, J. Math. Biol., 37, 103, 10.1007/s002850050122 Lou, 2007, vol. 1922, 171 Guo, 2013 Ma, 2018, Existence of the solutions of a reaction cross-diffusion model for two species, J. Appl. Math. Lett., 79, 118, 10.1016/j.aml.2017.12.002 Wu, 1996