Abstract
This paper is concerned with the global dynamics of a ratio-dependent predator–prey system with prey-taxis. We establish the global existence and uniform-in-time boundedness of solutions in any dimensional bounded domain with Neumann boundary conditions, and furthermore prove the global stability of homogeneous steady states under certain conditions. Finally we perform numerical simulations to show that the pattern formation may arise and prey-taxis is a factor driving the evolution of spatial inhomogeneity into homogeneity.
Original language | English |
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Pages (from-to) | 81-99 |
Number of pages | 19 |
Journal | Applicable Analysis |
Volume | 101 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- 35A01
- 35B40
- 35B44
- 35K57
- 35Q92
- global stability
- pattern formation
- predator–prey system
- prey-taxis
- Ratio-dependent
ASJC Scopus subject areas
- Analysis
- Applied Mathematics