期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 44, 期 2, 页码 1484-1499出版社
WILEY
DOI: 10.1002/mma.6846
关键词
chemotaxis; global bifurcation theory; logarithm sensitivity; spiky steady states
资金
- National Natural Science Foundation of China [11571390, 11671190]
Chemotaxis is an important biological mechanism that can be studied by analyzing spiky steady states, which can be used to model phenomena like cell aggregation.
Chemotaxis is an important biological mechanism in the nature. We prove the existence of spiky steady states of the one-dimensional continuous chemotaxis model with logarithm sensitivity in a more general case by using global bifurcation theory with chemotactic coefficient being the bifurcating parameter and by studying the asymptotic behavior of the steady states as the chemotactic coefficient goes to infinity. One can use spiky steady states to model the cell aggregation, which is one of the most important phenomenon in chemotaxis.
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