Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting
Articles
Luhong Ye
Nanjing University of Aeronautics and Astronautics
Hongyong Zhao
Nanjing University of Aeronautics and Astronautics
https://orcid.org/0009-0006-4161-0691
Daiyong Wu
Anqing Normal University
Published 2023-07-27
https://doi.org/10.15388/namc.2023.28.32845
PDF

Keywords

Turning instability
bifurcation
nonconstant steady state
toxicity
threshold harvesting

How to Cite

Ye, L., Zhao, H. and Wu, D. (2023) “Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting”, Nonlinear Analysis: Modelling and Control, 28(5), pp. 971–994. doi:10.15388/namc.2023.28.32845.

Abstract

In this paper, we propose a toxin-producing predator–prey model with threshold harvesting and study spatiotemporal dynamics of the model under the homogeneous Neumann boundary conditions. At first, the persistence property of solutions to the system is investigated. Then the explicit requirements for the existence of nonconstant steady state solutions are derived by studying the relevant characteristic equation. These steady states occur from related constant steady states via steady state bifurcation. Throughout the analysis of the amplitude equations of Turing pattern by the multiple scale method, pattern formation can be found. Finally, we display  umerical simulations to verify the theoretical outcomes.

PDF

Downloads

Download data is not yet available.