Results 21 to 30 of about 3,078 (202)
Global proprieties of an SIR epidemic model with nonlocal diffusion and immigration
Results in Physics, 2022 Immigration is the responsible for transmitting disease from one country to another. In this research, we investigate the global proprieties of an SIR model with nonlocal dispersal and immigration.
Anwar Zeb +4 more
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Macroscopic description of particle systems with non-local density-dependent diffusivity [PDF]
, 2006 In this paper we study macroscopic density equations in which the diffusion coefficient depends on a weighted spatial average of the density itself. We show that large differences (not present in the local density-dependence case) appear between the ...
A. Okubo +6 more
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A nonlocal inhomogeneous dispersal process
Journal of Differential Equations, 2007 This article in devoted to the study of the nonlocal dispersal equation ut(x,t)=∫RJ(x−yg/y) u(y,t)/g(y) dy − u(x,t)in R×[0,∞), and its stationary counterpart. We prove global existence for the initial value problem, and under suitable hypothesis on g and J , we prove that positive bounded stationary solutions exist.
Cortázar, C. +3 more
openaire +4 more sources
Mathematical Biosciences and Engineering, 2021 This paper is devoted to studying the existence and nonexistence of traveling wave solution for a nonlocal dispersal delayed predator-prey system with the Beddington-DeAngelis functional response and harvesting.
Zhihong Zhao, Yan Li , Zhaosheng Feng
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Nonlocal Interactions and Dispersion Relations [PDF]
Progress of Theoretical Physics, 1959 When the microscopic causality is not satisfied, the usual physical meaning to the dispersion relations proposed by Oehme can not be given. The problems of ghosts seem to be closely connected with the propagation characters in the cases of nonlocal interactions. (auth)
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Nonlocal dispersion cancellation for three or more photons [PDF]
Physical Review A, 2020 The entanglement of quantum systems can produce a variety of nonclassical effects that have practical applications in quantum information science. One example of this is nonlocal dispersion cancellation, in which the effects of dispersion on one photon can be cancelled out by the dispersion experienced by a second photon at a distant location.
I. C. Nodurft +4 more
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Minimal wave speed in a dispersal predator–prey system with delays
Boundary Value Problems, 2018 This paper is concerned with the minimal wave speed in a nonlocal dispersal predator–prey system with delays. We define a threshold. By presenting the existence and nonexistence of traveling wave solutions, we confirm that the threshold is the minimal ...
Xue-Shi Li, Shuxia Pan, Hong-Bo Shi
doaj +1 more source
Dynamics of Classical Solutions of a Two-Stage Structured Population Model with Nonlocal Dispersal
Mathematics, 2023 We study the dynamics of classical solutions of a two-stage structured population model with nonlocal dispersal in a spatially heterogeneous environment and address the question of the persistence of the species.
Maria A. Onyido +3 more
doaj +1 more source
Invasion and adaptive evolution for individual-based spatially structured populations [PDF]
, 2006 The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns.
Champagnat, Nicolas, Méléard, Sylvie
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Decay estimates for nonlinear nonlocal diffusion problems in the whole space [PDF]
, 2013 In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y) |u(y,t)- u(x,t)|^{p-2} (u(y,t)- u(x,t)) \, dy, $$ with $ x \in \rr^d$, $
Antolin, Angel San +3 more
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