论文标题
与比率依赖性猎物预言模型具有不同自由边界的动力学
Dynamics for a Ratio-dependent Prey-predator Model with Different Free Boundaries
论文作者
论文摘要
在本文中，我们研究了具有不同自由边界的比率依赖性类型的猎物预性模型的动力学。分别由猎物和捕食者确定的两个自由边界，这意味着它们可能会随着时间的流逝而相互相交，用于描述猎物和捕食者的扩散。我们主要研究捕食者和猎物的长期行为。然后给出一些足够的扩散和消失的条件。另外，当发生扩散时，提供了H，G的U，V和渐近速度的渐近扩散速度的一些估计。
In this paper, we study the dynamics of the ratio-dependent type prey-predator model with different free boundaries. The two free boundaries, determined by prey and predator respectively, implying that they may intersect each other as time evolves, are used to describe the spreading of prey and predator. We mainly investigate the longtime behaviors of predator and prey. Then some sufficient conditions for spreading and vanishing are given. In addition, when spreading occurs, some estimates of asymptotic spreading speeds of u, v and asymptotic speeds of h, g are provided.
