54 citations · 130 across the 4 of their papers we have counts for
4 papers
Envelope quasi-solitons in dissipative systems with cross-diffusion
V. N. Biktashev, M. A. Tsyganov
We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses,…
Spontaneous periodic travelling waves in oscillatory systems with cross-diffusion
V. N. Biktashev, M. A. Tsyganov
We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and purs…
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…
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'…