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Global dynamics for a class of reaction-diffusion equations with distributed delay and Neumann condition. (arXiv:1810.00975v1 [math.DS])
来源于:arXiv
In this paper, we investigate a class of non-monotone reaction-diffusion
equations with distributed delay and a homogenous boundary Neumann condition,
which have a positive steady state. The main concern is the global attractivity
of the unique positive steady state. To achieve this, we use an argument of a
sub and super-solution combined with fluctuation method. We also give a
condition for which the exponential stability of the positive steady state is
reached. As an example, we apply our results to diffusive Nicholson blowflies
and diffusive Mackey-Glass equation with distributed delay. We point out that
we obtain some new results on exponential stability of the positive steady
state for these cited models. 查看全文>>