24 citations · 63 across the 5 of their papers we have counts for
5 papers
On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation
Karel Hasík, Jana Kopfová, Petra Nábělková +1
In this work, we answer three fundamental questions concerning monostable travelling fronts for the scalar Kolmogorov ecological equation with diffusion and spatiotemporal interact…
A cyclic system with delay and its characteristic equation
Elena Braverman, Karel Hasik, Anatoli F. Ivanov +1
A nonlinear cyclic system with delay and the overall negative feedback is considered. The characteristic equation of the linearized system is studied in detail. Sufficient conditio…
Traveling waves in the nonlocal KPP-Fisher equation: different roles of the right and the left interactions
Karel Hasik, Jana Kopfová, Petra Nábělková +1
We consider the nonlocal KPP-Fisher equation which describes the evolution of population density with respect to time …
An extension of the Wright's 3/2-theorem for the KPP-Fisher delayed equation
Karel Hasik, Sergei Trofimchuk
We present a short proof of the following natural extension of the famous Wright's 3/2-stability theorem: the conditions imply the presence of the positive…
Slowly oscillating wavefronts of the KPP-Fisher delayed equation
Karel Hasik, Sergei Trofimchuk
This paper concerns the semi-wavefronts (i.e. bounded solutions satisfying ) to the delayed KPP-Fisher equation $$u_t(t,x) = Δu(t,x) + u(…