An extension of the Lotka-Volterra model, which we call the hungry-Volterra model or the Bogoyavlensky lattice, is studied. We show that the model is integrable in both classical and quantum levels by use of the local Lax matrix. The relationship between the Lotka-Volterra model and some integrable systems is briefly discussed.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)