Search for items in this repository.
On a parabolic-elliptic chemotactic system with non-constant chemotactic sensitivity
Tello del Castillo, José Ignacio and Negreanu, Mihaela
On a parabolic-elliptic chemotactic system with non-constant chemotactic sensitivity.
"Nonlinear Analysis: Theory, Methods & Applications", v. 80
We study a parabolic–elliptic chemotactic system describing the evolution of a population’s density “u” and a chemoattractant’s concentration “v”. The system considers a non-constant chemotactic sensitivity given by “χ(N−u)”, for N≥0, and a source term of logistic type “λu(1−u)”. The existence of global bounded classical solutions is proved for any χ>0, N≥0 and λ≥0. By using a comparison argument we analyze the stability of the constant steady state u=1, v=1, for a range of parameters.
– For N>1 and Nλ>2χ, any positive and bounded solution converges to the steady state.
– For N≤1 the steady state is locally asymptotically stable and for χN<λ, the steady state is globally asymptotically stable.
Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
Check whether the spanish journal in which you have published an article allows you to also publish it under open access.