Cross-diffusional effect in a telegraph reaction diffusion Lotka–Volterra two competitive system

✍ Scribed by H.A. Abdusalam; E.S. Fahmy

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 126 KB
• Volume: 18
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(02)00648-3

✦ Synopsis

It is known now that, telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion in several branches of sciences. Telegraph reaction diffusion Lotka-Volterra two competitive system is considered. We observed that this system can give rise to diffusive instability only in the presence of cross-diffusion. Local and global stability analysis in the cross-diffusional effect are studied by considering suitable Lyapunov functional.