论文标题
反应扩散 - 捕食捕食者模型中的稳定性和分叉
Stability and bifurcation in a reaction-diffusion-advection predator-prey model
论文作者
论文摘要
考虑了具有Holling型II捕食者功能响应的反应扩散 - 引进捕食者模型。当扩散率和对流速率较大时,我们显示了正稳态的稳定性/不稳定和HOPF分叉的存在。此外,我们表明,对流率不仅会影响HOPF分叉的发生,还会影响HOPF分叉的值。
A reaction-diffusion-advection predator-prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state and the existence of a Hopf bifurcation when the diffusion and advection rates are large. Moreover, we show that advection rate can affect not only the occurrence of Hopf bifurcations but also the values of Hopf bifurcations.