SZTE Repository of Papers and Books: No conditions. Results ordered -Date Deposited. 2020-08-15T13:10:21ZEPrintshttp://acta.bibl.u-szeged.hu/images/acta.jpghttp://acta.bibl.u-szeged.hu/2018-11-06T11:54:40Z2020-07-29T12:29:05Zhttp://acta.bibl.u-szeged.hu/id/eprint/55696This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/556962018-11-06T11:54:40ZOn a reaction-diffusion-advection system : fixed boundary or free boundaryThis paper is devoted to the asymptotic behaviors of the solution to a reactionâ€“diffusionâ€“advection system in a homogeneous environment with fixed boundary or free boundary. For the fixed boundary problem, the global asymptotic stability of nonconstant semi-trivial states is obtained. It is also shown that there exists a stable nonconstant co-existence state under some appropriate conditions. Numerical simulations are given not only to illustrate the theoretical results, but also to exhibit the advection-induced difference between the left and right boundaries as time proceeds. For the free boundary problem, the spreadingâ€“vanishing dichotomy is proved, i.e., the solution either spreads or vanishes finally. Besides, the criteria for spreading and vanishing are further established.Ying XuDandan ZhuJingli Ren