Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707432 | Applied Mathematics Letters | 2016 | 6 Pages |
Abstract
We consider a nonlinear PDEs system of Parabolic–Elliptic type with chemotactic terms. The system models the movement of a population “nn” towards a higher concentration of a chemical “cc” in a bounded domain ΩΩ.We consider constant chemotactic sensitivity χχ and an elliptic equation to describe the distribution of the chemical nt−dnΔn=−χdiv(n∇c)+μn(1−n),−dcΔc+c=h(n) for a monotone increasing and Lipschitz function hh.We study the asymptotic behavior of solutions under the assumption of 2χ|h′|<μ2χ|h′|<μ. As a result of the asymptotic stability we obtain the uniqueness of the strictly positive steady states.
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Authors
M.A.J. Chaplain, J.I. Tello,