期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 45, 期 5, 页码 2516-2529出版社
WILEY
DOI: 10.1002/mma.7937
关键词
blow-up; global existence and boundedness; predator-prey; reaction-diffusion-taxis
资金
- Programs Foundation of Harbin University of China [HUDF2019101]
- Natural Sciences Foundation of Heilongjiang Province of China [LH2020A002]
The study focuses on the finite time blow-up of solutions to general RD-systems with chemotaxis for multi-species. The blow-up is shown to be equivalent to the blow-up of the L(R)-norms of the solutions for r exceeding a critical value r(c), and an estimation of r(c) is provided under loose conditions, based on a variant of Gagliardo-Nirenberg inequality and a bootstrap method similar to the Alikakos-Moser iteration procedure.
We study the finite time blow-up of solutions to general RD-systems with chemotaxis for multi-species. Our result shows that the blow-up is equivalent to the blow-up of the L(R)-norms of the solutions for r exceeding some critical value r(c). Under very loose conditions, we give the estimation of r(c), relying on a variant of Gagliardo-Nirenberg inequality, and a kind of bootstrap method which is very similar to the Alikakos-Moser iteration procedure.
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