2 papers
nlin.PS2004
Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example
M. A. Tsyganov, J. Brindley, A. V. Holden +1
We have studied properties of nonlinear waves in a mathematical model of a predator-prey system with pursuit and evasion. We demonstrate a new type of propagating wave in this syst…
nlin.PS2004
Pursuit-evasion predator-prey waves in two spatial dimensions
V. N. Biktashev, J. Brindley, A. V. Holden +1
We consider a spatially distributed population dynamics model with excitable predator-prey dynamics, where species propagate in space due to their taxis with respect to each other'…