Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Ducrot, Arnaud"'
Autor:
Ducrot, Arnaud, Kang, Hao
In this paper, we study the existence of traveling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion. Our proofs make use of the comparison principles both to construct suitable sub/s
Externí odkaz:
http://arxiv.org/abs/2310.06250
Autor:
Ducrot, Arnaud, Lahbiri, Fatima Zahra
In this paper, we study the existence of solution for stochastic evolution equations with almost sectorial operators and possibly a non dense domain. Such problems cover several types of evolution equations, we are interested here in particular in ev
Externí odkaz:
http://arxiv.org/abs/2307.12294
We investigate the long-time dynamics of a SIR epidemic model with infinitely many pathogen variants infecting a homogeneous host population. We show that the basic reproduction number $\mathcal{R}_0$ of the pathogen can be defined in that case and c
Externí odkaz:
http://arxiv.org/abs/2305.05699
Autor:
Deng, Liangliang, Ducrot, Arnaud
This paper is concerned with the existence of pulsating travelling fronts for a KPP reaction-diffusion equation posed in a multi-dimensional periodic medium. We provide an alternative proof of the classic existence result. Our proof relies largely on
Externí odkaz:
http://arxiv.org/abs/2302.07553
Age-structured models with nonlocal diffusion arise naturally in describing the population dynamics of biological species and the transmission dynamics of infectious diseases in which individuals disperse nonlocally and interact each other and the ag
Externí odkaz:
http://arxiv.org/abs/2205.09642
Autor:
Ducrot, Arnaud, Jin, Zhucheng
We investigate the asymptotic speed of spread of the solutions of a non-autonomous Fisher-KPP equation with nonlocal diffusion, driven by a thin-tailed kernel. In this paper, we are concerned with both compactly supported and exponentially decaying i
Externí odkaz:
http://arxiv.org/abs/2201.05794
Autor:
Ducrot, Arnaud, Magal, Pierre
In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suitable functional framework to handle this system and study the large-tim
Externí odkaz:
http://arxiv.org/abs/2201.05774
We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition cases, we provide the first quantitative estimates for such phenomena. The
Externí odkaz:
http://arxiv.org/abs/2201.01512
Autor:
Ducrot, Arnaud, Jin, Zhucheng
Publikováno v:
In Journal of Differential Equations 5 July 2024 396:257-313
We investigate the long-time dynamics of a SIR epidemic model in the case of a population of pathogens infecting a homogeneous host population. The pathogen population is structured by a genotypic variable. When the initial mass of the maximal fitnes
Externí odkaz:
http://arxiv.org/abs/2107.06418