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Spreading speeds in some diffusive prey-predator systems

Seminário do GFM
FCUL, C6, room 6.2.33
2017-11-30 11:00 .. 12:00
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by Thomas Giletti (Univ. de Lorraine)

In this talk, I will discuss the spreading properties of solutions of some diffusive prey-predator (or combustion) systems, for which the comparison principle does not hold. Both species are assumed to initially inhabit a compactly supported region. We will see that spreading then occurs, for both species, with a definite speed. Intriguingly, the spreading speeds may be different between the prey and the predator, depending on the situation. This is a joint work with A. Ducrot and H. Matano.