论文标题
反应扩散方程的稳态解决方案的存在和稳定性具有非局部延迟效应
Existence and stability of steady state solutions of reaction-diffusion equations with nonlocal delay effect
论文作者
论文摘要
考虑了具有时空延迟和均匀差异边界条件的一般反应扩散方程。阳性稳态解的存在和稳定性通过研究等效反应扩散系统而没有非本地和延迟结构以及应用局部和全球分叉理论证明。根据非线性和扩散系数的类型来表征稳态集的全局结构。我们的一般结果应用于扩散的逻辑增长模型和尼科尔森的吹蝇类型模型。
A general reaction-diffusion equation with spatiotemporal delay and homogeneous Dirichlet boundary condition is considered. The existence and stability of positive steady state solutions are proved via studying an equivalent reaction-diffusion system without nonlocal and delay structure and applying local and global bifurcation theory. The global structure of the set of steady states is characterized according to type of nonlinearities and diffusion coefficient. Our general results are applied to diffusive logistic growth models and Nicholson's blowflies type models.
