This short note is concerned with Nicholson’s blowflies equation with Dirichlet boundary. For the challenging non-monotone case, we show the exponential convergence rate by the energy method, where the key observation is that the energy integrations for the perturbations on the inner boundary will be disappeared automatically, even the solutions at the boundary are non-zero.

中文翻译：

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具有Dirichlet边界的Nicholson blow蝇方程的稳态收敛性

此简短说明与具有Dirichlet边界的Nicholson的blow蝇方程有关。对于具有挑战性的非单调情况，我们通过能量方法展示了指数收敛速度，其中的主要观察结果是，即使边界处的解为非零，内边界上扰动的能量积分也会自动消失。 。