| Abstract: |
| This talk is about some (global and local)stability results of semi-wavefronts for the equation $u_t(t,x)=u_{xx}(t,x)-u(t,x)+\int_{\R}k(x-y)g(u(t-h,y))dy$ for $t>0, x\in\R$ where $h\geq 0$ and the kernel $k\in L^1(\R)$ is not assumed even. The monotonicity of $g$ (monostable type) is not assumed and non monotone semi-wavefronts are considered. A typical example of this is the Nicholson`s blowflies model where $g$ is an unimodal function. |
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