The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary
Jianping Wang, Mingxin Wang
TL;DR
This paper studies a complex predator-prey model incorporating nonlinear prey movement and free boundary conditions, analyzing its mathematical properties and long-term behavior to understand conditions for species spreading or extinction.
Contribution
It introduces a novel diffusive predator-prey model with nonlinear prey-taxis and free boundary, providing rigorous analysis of solutions and conditions for spreading or vanishing.
Findings
Established existence and uniqueness of solutions
Derived conditions for spreading and vanishing
Analyzed long-term behavior of the model
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.
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