Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Giletti, Thomas"'
We consider the solution to the scalar Fisher-KPP equation with front-like initial data, focusing on the location of its level sets at large times, particularly their deviation from points moving at the known spreading speed. We consider an intermedi
Externí odkaz:
http://arxiv.org/abs/2410.07715
This paper is concerned with spreading properties of space-time heterogeneous Fisher--KPP equations in one space dimension. We focus on the case of everywhere favorable environment with three different zones, a left half-line with slow or intermediat
Externí odkaz:
http://arxiv.org/abs/2407.21549
Autor:
Giletti, Thomas, Guo, Jong-Shenq
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B, In press
In this paper, we investigate so-called forced wave solutions of a three components reaction-diffusion system from population dynamics. Our system involves three species that are respectively two competing preys and one predator; moreover, the compet
Externí odkaz:
http://arxiv.org/abs/2212.04301
Traveling wave solutions of reaction-diffusion equations are well-studied for Lipschitz continuous monostable and bistable reaction functions. These special solutions play a key role in mathematical biology and in particular in the study of ecologica
Externí odkaz:
http://arxiv.org/abs/2208.01505
Autor:
Giletti, Thomas, Kim, Ho-Youn
In this paper we address the large-time behavior of solutions of bistable and multistable reaction-diffusion equations with discontinuities around the stable steady states. We show that the solution always converges to a special solution, which may e
Externí odkaz:
http://arxiv.org/abs/2207.14565
Fire blight is a bacterial plant disease that affects apple and pear trees. We present a mathematical model for its spread in an orchard during bloom. This is a PDE-ODE coupled system, consisting of two semilinear PDEs for the pathogen, coupled to a
Externí odkaz:
http://arxiv.org/abs/2201.10696
Autor:
Giletti, Thomas
Publikováno v:
Nonlinear Differential Equations and Applications, Springer Verlag, 2022, 29 (4), pp.No. 35
In this work we investigate the issue of logarithmic drifts in the position of the level sets of solutions of monostable reaction-diusion equations, with respect to the traveling front with minimal speed. On the one hand, it is a celebrated result of
Externí odkaz:
http://arxiv.org/abs/2105.12611
We are concerned with the persistence of both predator and prey in a diffusive predator-prey system with a climate change effect, which is modeled by a spatial-temporal heterogeneity depending on a moving variable. Moreover, we consider both the case
Externí odkaz:
http://arxiv.org/abs/2105.01349
We develop general heterogeneous nonlocal diffusion models and investigate their connection to local diffusion models by taking a singular limit of focusing kernels. We reveal the link between the two groups of diffusion equations which include both
Externí odkaz:
http://arxiv.org/abs/2104.00904
We determine the asymptotic spreading speed of the solutions of a Fisher-KPP reaction-diffusion equation, starting from compactly supported initial data, when the diffusion coefficient is a fixed bounded monotone profile that is shifted at a given fo
Externí odkaz:
http://arxiv.org/abs/2103.15466