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Dynamics for a two-species competitive Keller-Segel chemotaxis system with a free boundary
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-04-22 , DOI: 10.1016/j.jmaa.2021.125259 Yizhuo Wang , Shangjiang Guo
中文翻译:
具有自由边界的两种竞争Keller-Segel趋化系统的动力学
更新日期:2021-04-24
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-04-22 , DOI: 10.1016/j.jmaa.2021.125259 Yizhuo Wang , Shangjiang Guo
In this paper, we investigate a two-species competitive chemotaxis Keller-Segel system equipped with a free boundary. The local existence and global existence of classical solutions are established, and then the asymptotic behavior of the solutions is described. Some spreading-vanishing dichotomies have been obtained both for the strong competition case: , and weak competition case: , . Finally, an obstructed spreading case has been found, which could happen due to the effect of the chemotaxis.
中文翻译:
具有自由边界的两种竞争Keller-Segel趋化系统的动力学
在本文中,我们研究了具有自由边界的两种种群竞争趋化性Keller-Segel系统。建立经典解的局部存在和全局存在,然后描述解的渐近性质。在激烈的竞争中,都获得了一些消失的二分法:,以及竞争较弱的案例: , 。最后,发现了一个受阻的扩散病例,这可能是由于趋化性的影响而发生的。