Xue-Yong Chen
School of Mathematics and Statistics, Xuchang University, 461000, Xuchang, China
Jian-Wei Shen
School of Mathematics and Statistics, Xuchang University, 461000, Xuchang, China
ABSTRACT
In this study, we study the asymptotical behavior of solutions for an Othmer-Stevens model with reproduction term. Making use of a function transformation and comparative method, we prove that the existence of global, blow-up or quenching solutions of the problem on different conditions and more interesting results are obtained. Under proper conditions, the species blow up while attractant quenches in finite time. The results of the paper not only verifies real biological phenomenon but also provides a theoretical groundwork for numerical problems of the chemotaxis model.
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Received: August 06, 2013;
Accepted: November 06, 2013;
Published: November 11, 2013
How to cite this article
Xue-Yong Chen and Jian-Wei Shen, 2013. Research of an Othmer-stevens Chemotax Is Model with Reproduction Term. Journal of Applied Sciences, 13: 4456-4462.
DOI: 10.3923/jas.2013.4456.4462
URL: https://scialert.net/abstract/?doi=jas.2013.4456.4462
DOI: 10.3923/jas.2013.4456.4462
URL: https://scialert.net/abstract/?doi=jas.2013.4456.4462
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