48 citations · 125 across the 8 of their papers we have counts for
8 papers
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…
Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model
Elena Trofimchuk, Manuel Pinto, Sergei Trofimchuk
We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole mod…
Monotone waves for non-monotone and non-local monostable reaction-diffusion equations
Elena Trofimchuk, Manuel Pinto, Sergei Trofimchuk
We propose a criterion for the existence of monotone wavefronts in non-monotone and non-local monostable diffusive equations of the Mackey-Glass type. This extends recent results b…
Pushed traveling fronts in monostable equations with monotone delayed reaction
Elena Trofimchuk, Manuel Pinto, Sergei Trofimchuk
We study the existence and uniqueness of wavefronts to the scalar reaction-diffusion equations with monotone delayed reaction term $g…
Traveling waves for a model of the Belousov-Zhabotinsky reaction
Elena Trofimchuk, Manuel Pinto, Sergei Trofimchuk
Following J.D. Murray, we consider a system of two differential equations that models traveling fronts in the Noyes-Field theory of the Belousov-Zhabotinsky (BZ) chemical reaction.…
On the geometry of wave solutions of a delayed reaction-diffusion equation
Elena Trofimchuk, Pedro Alvarado, Sergei Trofimchuk
The aim of this paper is to study the existence and the geometry of positive bounded wave solutions to a non-local delayed reaction-diffusion equation of the monostable type.
Admissible wavefront speeds for a single species reaction-diffusion equation with delay
Elena Trofimchuk, Sergei Trofimchuk
We consider equation , when has exactly two fixed points: and . Assuming that is unimodal and…
Mackey-Glass type delay differential equations near the boundary of absolute stability
E. Liz, E. Trofimchuk, S. Trofimchuk
For equations with -nonlinearity which has negative Schwarzian derivative and satisfies for …