Related Experiment Video
Updated: Oct 31, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Coexistence in a competition-diffusion-advection system with equal amount of total resources
1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China.
Abstract:
We consider a Lotka-Volterra competition-diffusion-advection system with the total resources for two competitors fixed at the same level. We reveal the combined effect of competition abilities and spatial variations on the coexistence of two competing species. It is obtained that when the ratio of advection rate α to diffusion rate d1 is appropriately large, the two competing species will always coexist if the inter-specific competition coefficients (b,c) in (0,1]×(0,1] and when the ratio is appropriately small, the two species will coexist if the inter-specific competition coefficients c is appropriately small and b is in (0,1].
Related Concept Videos
Competition
Short-distance Transport of Resources
Solution Equilibrium and Saturation
Conservation of Energy in Control Volume
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
Equations of Equilibrium in Three Dimensions
According to the vector equations of equilibrium, the vector sum of all the external forces acting on a body must...
The Integrated Rate Law: The Dependence of Concentration on Time

