研究了一类修正了的多种群Othmer—Stevens趋化性模,利用比较原理、函数变换技巧构造出相应系统的上下解,进而得到了多种群趋化性系统在不同条件下的全局存在、爆破及坍塌现象.
In this paper, we study a modified multi-group Othmer-Stevens chemotaxis model. By using the methods of comparison principle and function transformation, the sub-supersolution of corresponding system is obtained. Furthermore, we prove the global existence, blow-up and collapse phenomenon of chemotaxis system under different conditions.