<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The dynamic of amoebas in favorable circumstances is modeled by a nonlinear system of Partial Differential Equations arising in chemotaxis. The competition between different parameters of this system plays a major role in the process of aggregation. Throughout this paper, we prove the existence of self-similar solutions that blow up in finite time in a dimensional space and under specific circumstances depending upon the position of those parameters.</p></abstract>

The dynamic of amoebas in favorable circumstances is modeled by a nonlinear system of Partial Differential Equations arising in chemotaxis. The competition between different parameters of this system plays a major role in the process of aggregation. Throughout this paper, we prove the existence of self-similar solutions that blow up in finite time in a dimensional space and under specific circumstances depending upon the position of those parameters.

Possibility of amoebas' aggregation in finite time

Department of Mathematics, University of Moulay Ismaïl, Faculty of Sciences of Meknès, BP 11201 Zitoune, Mekn`es 50000, Morocco

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Possibility of amoebas' aggregation in finite time"}

The dynamic of amoebas in favorable circumstances is modeled by a nonlinear system of Partial Differential Equations arising in chemotaxis. The competition...

Possibility of amoebas' aggregation in finite time

Published Online: Jul 30, 2013

Page range: 101 - 120

DOI: https://doi.org/10.2478/auom-2013-0006

This content is open access.