A free boundary problem of a predator-prey model with a nonlocal reaction term
A free boundary problem of a predator-prey model with a nonlocal reaction term
复制标题
具有非局部反应项的捕食者-被捕食者模型的自由边界问题
DOI：
10.1007/s00033-021-01509-7
复制
发表时间：
2021
影响因子：
2
通讯作者：
Zhou Ling
中科院分区：
文献类型：
--
作者：
Zhang Weiyi;Liu Zuhan;Zhou Ling
本文讨论一类具有非局部反应项的捕食-食饵模型自由边值问题解的动力学行为。我们研究了传播-消失二分法，即捕食者和被捕食者物种的渐进行为。此外，还建立了传播和消失的判据。最后，当传播发生时，我们得到了渐近传播速度的上界和下界。
This paper is devoted to classifying the dynamical behavior of solutions to a free boundary problem of a predator–prey model with a nonlocal reaction term. We investigate the spreading-vanishing dichotomy, that is, the asymptotic behavior of predator and prey species. Moreover, some criteria are also established for spreading and vanishing. At last, when spreading occurs, we obtain an upper and a lower bound of the asymptotic spreading speed.