Related Experiment Video
Updated: May 14, 2026

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
Published on: January 31, 2020
Bistable wave speed of a diffusive three-species Lotka-Volterra competition model
1School of Mathematics and Statistics, Hunan First Normal University, Changsha, Hunan, People's Republic of China.
None:
In this paper, we investigate the propagation speed of bistable traveling waves in a diffusive three-species Lotka-Volterra competition model. By constructing a novel pair of upper and lower solutions, we derive sufficient conditions that determine whether the bistable wave speed is positive or negative. These criteria offer a theoretical foundation for predicting the direction of wave propagation in such systems. The validity and applicability of our theoretical results are further confirmed through several numerical examples.
Related Concept Videos
Velocity and Acceleration of a Wave
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time. We can...
Speciation Rates
Propagation of Waves
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
Modeling with Differential Equations

