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1. DYNAMICAL BEHAVIOR IN A REACTION-DIFFUSION SYSTEM WITH PREY-TAXIS.

Author

YINGWEI SONG, TIE ZHANG, and JINPENG LI

Subjects
*NEUMANN boundary conditions, *PREDATION
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. [ABSTRACT FROM AUTHOR]

Published
2022

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