Zobrazeno 1 - 10
of 201
pro vyhledávání: '"Trofimchuk, Sergei"'
Autor:
Herrera, Franco, Trofimchuk, Sergei
We continue to study (see arXiv:2401.08618, https://doi.org/10.48550/arXiv.2401.08618) a renewal equation $\phi(t)=\frak F\phi_t$ proposed in [C. Barril et al., J. Math. Biology, https://doi.org/10.1007/s00285-024-02084-x] to model trees growth. This
Externí odkaz:
http://arxiv.org/abs/2404.16749
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 $r$, which determines the level of the bromide ion far ahead of the propagating wave, is bigger than 1 and
Externí odkaz:
http://arxiv.org/abs/2305.07823
Publikováno v:
Journal of Differential Equations 376 (2023) pp. 102-125
We prove the existence of the minimal speed of propagation $c_*(r,b,K) \in [2\sqrt{1-r},2]$ for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defined by the convolution with (possibly, "fat-tailed") kernel $K$. The m
Externí odkaz:
http://arxiv.org/abs/2206.03613
Autor:
Solar, Abraham, Trofimchuk, Sergei
We extend the class of initial conditions for scalar delayed reaction-diffusion equations $u_t (t,x)=u_{xx}(t,x)+f(u(t, x), u(t-h, x))$ which evolve in solutions converging to monostable traveling waves. Our approach allows to compute, in the moving
Externí odkaz:
http://arxiv.org/abs/2107.11938
Publikováno v:
Nonlinearity 36 (2023) 507-536
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 remembered utility of pleasant or unpleasant episodes is accurately pred
Externí odkaz:
http://arxiv.org/abs/2106.10843
Publikováno v:
Discrete and Continuous Dynamical Systems- A 41 (2021) 5979 - 6000
We study the Mackey-Glass type monostable delayed reaction-diffusion equation with a unimodal birth function $g(u)$. This model, designed to describe evolution of single species populations, is considered here in the presence of the weak Allee effect
Externí odkaz:
http://arxiv.org/abs/2010.06058
Publikováno v:
In Journal of Differential Equations 15 December 2023 376:102-125
Publikováno v:
Journal of Differential Equations 268 (2020) pp. 5156-5178
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]. Surprisingly, these wavefronts can be observed only for sufficiently small
Externí odkaz:
http://arxiv.org/abs/1906.05711
Publikováno v:
Journal of Nonlinear Science (2020)
In this work, we answer three fundamental questions concerning monostable travelling fronts for the scalar Kolmogorov ecological equation with diffusion and spatiotemporal interaction: these are the questions about their existence, uniqueness and geo
Externí odkaz:
http://arxiv.org/abs/1903.10339
Publikováno v:
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (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 of monotone wavefronts. I
Externí odkaz:
http://arxiv.org/abs/1902.06280