Related Experiment Video
Updated: Mar 13, 2026

Author Spotlight: Understanding Riverine Nitrogen Impacts and Primary Productivity for Effective Nutrient Management
Published on: July 14, 2023
Bifurcation analysis of a diffusive plant-wrack model with tide effect on the wrack
1School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China.
Abstract:
This paper deals with the spatial, temporal and spatiotemporal dynamics of a spatial plant-wrack model. The parameter regions for the stability and instability of the unique positive constant steady state solution are derived, and the existence of time-periodic orbits and non-constant steady state solutions are proved by bifurcation method. The nonexistence of positive nonconstant steady state solutions are studied by energy method and Implicit Function Theorem. Numerical simulations are presented to verify and illustrate the theoretical results.
Related Concept Videos
Design Example: Creating a Hydraulic Model of a Dam Spillway
Typical Model Studies
Modeling with Differential Equations
Rapidly Varying Flow
Short-distance Transport of Resources
Growth Models with Integration: Problem Solving

