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Zheng, Pan; Mu, Chunlai; Hu, Xuegang

Persistence property in a two-species chemotaxis system with two signals. (English) Zbl 1383.92021

J. Math. Phys. 58, No. 11, 111501, 17 p. (2017).
Summary: This paper deals with a two-species chemotaxis system with two different signals under homogeneous Neumann boundary conditions in a bounded convex domain with the non-negative initial data. This system is a generalization of the classical Keller-Segel chemotaxis models to the case of two species which are attracted by two different chemical signals. Under suitable conditions, it is proved that for any non-negative global classical solutions, the masses of two species do not extinct at any time.{
©2017 American Institute of Physics}

Cited in 13 Documents

MSC:

92C17 Cell movement (chemotaxis, etc.)
35G50 Systems of nonlinear higher-order PDEs
35G61 Initial-boundary value problems for systems of nonlinear higher-order PDEs

Keywords:

two-species chemotaxis; homogeneous Neumann boundary conditions; Keller-Segel chemotaxis
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Full Text: DOI

References:

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