Dynamics of weakly interacting front and back waves in three-component systems
Access this Article
Search this Article
Weak interaction of stable travelling front and back solutions is considered for three-component systems with competition and diffusion.In the previous paper [I], the existence and the stability property of standing pulse solutions are proved, which are static results after interaction.Here an ODE system, which describes the dynamics of layer positions where travelling front and back solutions are interacting each other, is given. By using this system, wave blocking and annihilation phenomena are studied and compared with the results in [I].
- Toyama mathematical journal
Toyama mathematical journal (30), 1-34, 2007
Dept. of Mathematics, Faculty of Science, University of Toyama