English

The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary

Analysis of PDEs 2018-11-14 v1

Abstract

The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary is considered. We investigate the existence and uniqueness, regularity and uniform estimates, and long time behavior of the global solution. Some sufficient conditions for both spreading and vanishing are established.

Keywords

Cite

@article{arxiv.1711.04229,
  title  = {The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary},
  author = {Jianping Wang and Mingxin Wang},
  journal= {arXiv preprint arXiv:1711.04229},
  year   = {2018}
}

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25 pages