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[School of Mathematics and Statistics]
Applied Mathematics Seminar
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Alejandro Vidal Lopez
Departamento de Matematica Aplicada, Universidad Complutense de Madrid

Asymptotic behaviour of logistic equations

Wednesday 13th August 14:05-14:55pm, Eastern Avenue Lecture Theatre.

We will show that for a wide class of autonomous and non-autonomous reaction-diffusion problems there exist two special "equilibria" bounding their asymptotic dynamics. As an application, we will consider the case of logistic equations. We will obtain conditions on the coefficients ensuring the existence of a unique positive equilibrium.