Yingwei Song, Tie Zhang, Jinpeng Li
Abstract:
In this article, we study a diffusive predator-prey system with prey-taxis
under homogeneous Neumann boundary conditions. We establish the existence
and boundedness of nonnegative global solutions.
Through comparison with the system without prey-taxis, we find that the
positive constant equilibrium remains stable for positive prey-taxis,
while negative prey-taxis makes it unstable.
Submitted August 26, 2021. Published May 13, 2022.
Math Subject Classifications: 35B32, 35K57, 37L10.
Key Words: Reaction; diffusion; global solution; stability.
DOI: https://doi.org/10.58997/ejde.2022.37
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Yingwei Song Department of Mathematics Northeastern University Shenyang 110006, China email: songyingwei001@163.com |
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Tie Zhang Department of Mathematics Northeastern University Shenyang 110006, China email: ztmath@163.com |
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Jinpeng Li Department of Mathematics University College London London WC1E 6BT, United Kingdom email: lijinpengmath@126.com |
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