MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Simultaneous Finite Time Blow-up in a Two-Species Model for Chemotaxis

Elio Eduardo Espejo, Angela Stevens and Juan J.L. Velazquez


A system of two classical chemotaxis equations, coupled with an elliptic equation for an attractive chemical, is analyzed. Depending on the parameter values for the three respective diffusion coefficients and the two chemotactic sensitivities in the radial symmetric setting, conditions are given for global existence of solutions and finite time blow-up. A question of interest is, whether there exist parameter regimes, where the two chemotactic species differ in their long time behavior. This questions arises in the context of differential chemotactic behavior in early aggregates of Dictyostelium discoideum.


Related publications

2009 Repository Open Access
Elio Eduardo Espejo Arenas, Angela Stevens and Juan J. L. Velázquez

Simultaneous finite time blow-up in a two-species model for chemotaxis

In: Analysis, 29 (2009) 3, pp. 317-338