Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Strickler, Edouard"'
We consider a population spreading across a finite number of sites. Individuals can move from one site to the other according to a network (oriented links between the sites) that vary periodically over time. On each site, the population experiences a
Externí odkaz:
http://arxiv.org/abs/2411.07821
We examine to what extent the tempo and mode of environmental fluctuations matter for the growth of structured populations. The models are switching, linear ordinary differential equations $x'(t)=A(\sigma(\omega t))x(t)$ where $x(t)=(x_1(t),\dots,x_d
Externí odkaz:
http://arxiv.org/abs/2408.11179
This paper is a follow-up to a previous work where we considered populations with time-varying growth rates living in patches and irreducible migration matrix between the patches. Each population, when isolated, would become extinct. Dispersal-induce
Externí odkaz:
http://arxiv.org/abs/2407.07553
Publikováno v:
Journal of Mathematical Biology (2024) 88:19
We consider populations with time-varying growth rates living in sinks. Each population, when isolated, would become extinct. Dispersal-induced growth (DIG) occurs when the populations are able to persist and grow exponentially when dispersal among t
Externí odkaz:
http://arxiv.org/abs/2311.04706
Autor:
Monmarché, Pierre, Strickler, Edouard
We consider time-inhomogeneous ODEs whose parameters are governed by an underlying ergodic Markov process. When this underlying process is accelerated by a factor $\varepsilon^{-1}$, an averaging phenomenon occurs and the solution of the ODE converge
Externí odkaz:
http://arxiv.org/abs/2309.16464
For general penalized Markov processes with soft killing, we propose a simple criterion ensuring uniform convergence of conditional distributions in Wasserstein distance to a unique quasi-stationary distribution. We give several examples of applicati
Externí odkaz:
http://arxiv.org/abs/2306.16051
In a recent paper [Asymptotic of the largest Floquet multiplier for cooperative matrices Annales de la Facult\'e des Sciences de Toulouse, Tome XXXI, no 4 (2022)] P. Carmona gives an asymptotic formulae for the top Lyapunov exponent of a linear T-per
Externí odkaz:
http://arxiv.org/abs/2302.05874
Publikováno v:
Theoretical Population Biology 154 (2023) 1-26
We consider a population distributed between two habitats, in each of which it experiences a growth rate that switches periodically between two values, $1- \varepsilon > 0$ or $ - (1 + \varepsilon) < 0$. We study the specific case where the growth ra
Externí odkaz:
http://arxiv.org/abs/2111.12633
Autor:
Prodhomme, Adrien, Strickler, Édouard
We consider an epidemic SIS model described by a multitype birth-and-death process in a randomly switched environment. That is, the infection and cure rates of the process depend on the state of a finite Markov jump process (the environment), whose t
Externí odkaz:
http://arxiv.org/abs/2107.05333
Autor:
Nguyen, Dang H., Strickler, Edouard
In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction set. In many cases, it is proven that when this growth rate is positi
Externí odkaz:
http://arxiv.org/abs/2001.00895