Dynamical behavior in a reaction-diffusion system with prey-taxis
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Date
2022-05-13
Authors
Song, Yingwei
Zhang, Tie
Li, Jinpeng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Reaction, Diffusion, Global solution, Stability
Citation
Song, Y., Zhang, T., & Li, J. (2022). Dynamical behavior in a reaction-diffusion system with prey-taxis. <i>Electronic Journal of Differential Equations, 2022</i>(37), pp. 1-15.
Rights
Attribution 4.0 International