E. Trofimchuk

activity

20012021

most citedTraveling waves for a model of the Belousov-Zhabotinsky reaction

48 citations · 125 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.DS2006★ 29 cited

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.

math.DS2006

Admissible wavefront speeds for a single species reaction-diffusion equation with delay

Elena Trofimchuk, Sergei Trofimchuk

We consider equation $u_{t} (t, x) = Δ u (t, x) - u (t, x) + g (u (t - h, x)) (*)$ , when $g : R_{+} \to R_{+}$ has exactly two fixed points: $x_{1} = 0$ and $x_{2} = κ > 0$ . Assuming that $g$ is unimodal and…

math.DS2001

Mackey-Glass type delay differential equations near the boundary of absolute stability

E. Liz, E. Trofimchuk, S. Trofimchuk

For equations $x^{'} (t) = - x (t) + ζ f (x (t - h)), x \in R, f^{'} (0) = - 1, ζ > 0,$ with $C^{3}$ -nonlinearity $f$ which has negative Schwarzian derivative and satisfies $x f (x) < 0$ for $x \neq = 0$ …