Now showing items 1-8 of 8

    • Liz, Eduardo; Pinto Jiménez, Manuel; Tkachenko, Victor; Trofimchuk, Sergei (American Mathematical Society, 2005)
      For a family of single-species delayed population models, a new global stability condition is found. This condition is sharp and can be applied in both monotone and nonmonotone cases. Moreover, the consideration of variable ...
    • Hakl, Robert; Pinto Jiménez, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei (Academic Press Inc., 2017)
      © 2016 Elsevier Inc. We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding ...
    • Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (Cambridge University Press, 2020)
      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 model dynamics. Firstly, we prove the existence ...
    • Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (Elsevier, 2016)
      We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...
    • Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (2014)
      In this paper, we answer the question about the existence of the minimal speed of front propagation in a delayed version of the Murray model of the Belousov-Zhabotinsky (BZ) chemical reaction. It is assumed that the key ...
    • Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (2013-05)
      We study the wavefront solutions of the scalar reaction-diffusion equations ut(t, x) = Δu(t, x)-u(t, x)+g(u(t-h,x)), with monotone reaction term g : ℝ+ → ℝ+ and h > 0. We are mostly interested in the situation when the ...
    • Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (2013)
      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. We are also interested in the situation ...
    • Liz, Eduardo; Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor (2003)
      We prove that the well-known 3/2 stability condition established for the Wright equation (WE) still holds if the nonlinearity p(exp(-x)-1) in WE is replaced by a decreasing or unimodal smooth function f with f'(0) < 0 ...