»ã±¨±êÌâ (Title)£ºDynamics of reaction-diffusion equations with time delay and free boundaries £¨´øʱÖͺÍ×ÔÓÉÌìǵµÄ·´Ó³À©É¢·½³ÌµÄ¶¯Á¦Ñ§ÐÐΪ£©

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»ã±¨¹¦·ò (Time)£º2024Äê3ÔÂ27ÈÕ£¨ÖÜÈý£©14:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

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»ã±¨ÌáÒª£ºWe study the dynamics of a population with an age structure whose population range expands with time. After establishing the well-posedness of the model, we obtain a rather complete description of its long-time dynamical behaviour, which is shown to follow a spreading-vanishing dichotomy. When spreading persists, we show that the population range expands with an asymptotic speed, which is uniquely determined by an associated nonlocal elliptic problem over the half line.