Behavior of the Solutions to an Othmer-Stevens Chemotaxis Model with Reproduction Term  

作　　者：CHEN Xueyong, LIU Weian School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China 

出　　处：《Wuhan University Journal of Natural Sciences》2010年第4期277-282,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10471108)

摘　　要：In this paper,we study a simplified Othmer-Stevens model with reproduction term. By making use of a smart function transformation,the comparative method and some special mathe-matical analysis,we prove the existence of global,blow-up or quenching solutions of the problem on different conditions. More interesting results are reached. The result of the paper not only verifies a real biological phenomenon,but also provides a theo-retical groundwork for numerical problems of the chemotaxis model.In this paper,we study a simplified Othmer-Stevens model with reproduction term. By making use of a smart function transformation,the comparative method and some special mathe-matical analysis,we prove the existence of global,blow-up or quenching solutions of the problem on different conditions. More interesting results are reached. The result of the paper not only verifies a real biological phenomenon,but also provides a theo-retical groundwork for numerical problems of the chemotaxis model.

关 键 词：CHEMOTAXIS global existence BLOW-UP quenching solution 

分 类 号：N[自然科学总论]