103 citations · 657 across the 37 of their papers we have counts for
37 papers
Bistable wavefronts in the delayed Belousov-Zhabotinsky reaction
Karel Hasík, Jana Kopfová, Petra Nábělková +1
We study the Murray adaptation of the Noyes-Field five-step model of the Belousov-Zhabotinsky (BZ) reaction in the case when a tuning parameter , which determines the level of t…
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction
Karel Hasík, Jana Kopfová, Petra Nábělková +2
We prove the existence of the minimal speed of propagation for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defi…
Wavefront's stability with asymptotic phase in the delayed monostable equations
Abraham Solar, Sergei Trofimchuk
We extend the class of initial conditions for scalar delayed reaction-diffusion equations which evolve in solutions converging to mono…
The peak-and-end rule and differential equations with maxima: a view on the unpredictability of happiness
Elena Trofimchuk, Eduardo Liz, Sergei Trofimchuk
In the 1990s, after a series of experiments, the behavioral psychologist and economist Daniel Kahneman and his colleagues formulated the following Peak-End evaluation rule: "The re…
On pushed wavefronts of monostable equation with unimodal delayed reaction
Karel Hasík, Jana Kopfová, Petra Nábělková +1
We study the Mackey-Glass type monostable delayed reaction-diffusion equation with a unimodal birth function . This model, designed to describe evolution of single species po…
Nonlinearly determined wavefronts of the Nicholson's diffusive equation: when small delays are not harmless
Zuzana Chladná, Karel Hasík, Jana Kopfová +2
By proving the existence of non-monotone and non-oscillating wavefronts for the Nicholson's blowflies diffusive equation (the NDE), we answer an open question raised in [16]. Surpr…