论文标题
与比率依赖性捕食者捕集系统的自由边界问题
A Free Boundary Problem for a Ratio-dependent Predator-prey System
论文作者
论文摘要
在本文中，我们研究了一个空间维度的比率依赖性捕食者捕食系统的自由边界问题，仅由猎物引起的自由边界。讨论了解决方案的长期行为。然后，我们建立了散布的变化二分法以及扩散和消失的标准。最后，当发生扩散时，提供了H（t）的渐近速度的准确极限。
In this paper we study a free boundary problem for a ratio-dependent predator-prey system in one space dimension, with the free boundary only caused by the prey. The long time behaviors of solution are discussed. Then we establish a spreading-vanishing dichotomy and the criteria for spreading and vanishing. Finally, when spreading occurs, an accurate limit of the asymptotic speed of h(t) is provided.
