Abstract
In this paper, we study the equation ut=uxx−βux+f(x,u) in the domain {(t,x)∈R2:t≥0,x∈(−∞,h(t)]}, where h(t) is the free boundary and β≥0. The influence of the advection coefficient −β on the propagation dynamics of the solutions is considered. We find two parameters 2 and β∗ such that when 0≤β<2, only spreading happens; when 2≤β<β∗, there is a virtual spreading-transition-vanishing trichotomy result; when β≥β∗, only vanishing happens.
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