Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes [PDF]
, 2011 The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, $u_t=J*u-u:=Lu$, in an exterior domain, $\Omega$, which excludes one or several holes, and with zero Dirichlet data on $\mathbb{R}^N\setminus\Omega$.
Cortazar, C. +3 more
core +2 more sources
‘Nonlocal’ dispersion cancelation with classical light [PDF]
New Journal of Physics, 2009 We show a classical analog of the original nonlocal dispersion cancelation effect in intensity interferometry with stationary light obeying Gaussian statistics. The dispersion compensation is due to the uncorrelation of the spectral components of the radiation.
V Torres-Company, H Lajunen, A T Friberg
openaire +1 more source
Traveling waves for SVIR epidemic model with nonlocal dispersal
Mathematical Biosciences and Engineering, 2019 In this paper, we studied an SVIR epidemic model with nonlocal dispersal and delay, and we find that the existence of traveling wave is determined by the basic reproduction number $\Re_0$ and minimal wave speed $c^*$.
Ran Zhang, Shengqiang Liu
doaj +1 more source
Selected topics on reaction-diffusion-advection models from spatial ecology
, 2020 We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction-diffusion-advection models, focusing on the persistence, competition, and evolution of organisms in spatially heterogeneous environments.
Lam, King-Yeung, Liu, Shuang, Lou, Yuan
core +1 more source
Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media [PDF]
, 2011 The current paper is concerned with positive stationary solutions and spatial spreading speeds of KPP type evolution equations with random or nonlocal or discrete dispersal in locally spatially inhomogeneous media. It is shown that such an equation has a
Kong, Liang, Shen, Wenxian
core +1 more source
Evolutionary stability of ideal free nonlocal dispersal
Journal of Biological Dynamics, 2012 We study the evolutionary stability of nonlocal dispersal strategies that can produce ideal free population distributions, that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium. We find that the property of producing ideal free distributions is necessary and often sufficient for ...
Cosner, Chris +2 more
openaire +6 more sources
Singular measure as principal eigenfunction of some nonlocal operators
, 2013 In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)
Coville, Jerome
core +1 more source
TRAVELING WAVE SOLUTIONS IN NONLOCAL DISPERSAL MODELS WITH NONLOCAL DELAYS [PDF]
Journal of the Korean Mathematical Society, 2014 This paper is concerned with the traveling wave solutions of nonlocal dispersal models with nonlocal delays. The existence of traveling wave solutions is investigated by the upper and lower solutions, and the asymptotic behavior of traveling wave solutions is studied by the idea of contracting rectangles.
openaire +1 more source
A Spatial Framework for Understanding Population Structure and Admixture. [PDF]
PLoS Genetics, 2016 Geographic patterns of genetic variation within modern populations, produced by complex histories of migration, can be difficult to infer and visually summarize.
Gideon S Bradburd +2 more
doaj +1 more source
Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations
Journal of Differential Equations, 2015 28 ...
Shen, Wenxian, Xie, Xiaoxia
openaire +2 more sources