Behavior of the Solutions to an Othmer-Stevens Chemotaxis Model with Reproduction Term 被引量：1

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

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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.

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》 CAS 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)

关键词 CHEMOTAXIS global existence BLOW-UP quenching solution chemotaxis global existence blow-up quenching solution

分类号 N [自然科学总论]

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参考文献15

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