单产两物种趋化竞争模型的有限时间爆炸

IF 0.5 Q3 MATHEMATICS
M. Mizukami, Yuya Tanaka
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引用次数: 1

摘要

. 本文研究了一类两物种趋化竞争模型解的爆破问题。前人对两种趋化竞争模型的有界性进行了大量的研究。另一方面,最近在竞争效应较小的条件下得到了有限时间爆炸。现在,从生物学的角度来看,生产期似乎促进了膨胀现象;这意味着缺少产生项使得解可能是有界的。因此,我们期望存在一个具有单一生产的系统的解,使得不生产化学物质的物种保持有界,而其他物种爆炸。本文的目的是证明这个猜想是正确的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Finite-time blow-up in a two-species chemotaxis-competition model with single production
. This paper is concerned with blow-up of solutions to a two-species chemotaxis-competition model with production from only one species. In previous papers there are a lot of studies on boundedness for a two-species chemotaxis-competition model with productions from both two species. On the other hand, finite-time blow-up was recently obtained under smallness conditions for competitive effects. Now, in the biological view, the production term seems to promote blow-up phenomena; this implies that the lack of the production term makes the solution likely to be bounded. Thus, it is expected that there exists a solution of the system with single production such that the species which does not produce the chemical substance remains bounded, whereas the other species blows up. The purpose of this paper is to prove that this conjecture is true.
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来源期刊
Archivum Mathematicum
Archivum Mathematicum MATHEMATICS-
CiteScore
0.70
自引率
16.70%
发文量
0
审稿时长
35 weeks
期刊介绍: Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.
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