Results 11 to 20 of about 183,857 (232)
Dynamics of a Nonlocal Dispersal Model with a Nonlocal Reaction Term
International Journal of Bifurcation and Chaos, 2018 In this paper, we study a class of nonlocal dispersal problem with a nonlocal term arising in population dynamics: [Formula: see text] where [Formula: see text] is a bounded domain, [Formula: see text], [Formula: see text] represents the nonlocal dispersal operator with continuous and non-negative dispersal kernel.
Li Ma, Shangjiang Guo, Ting Chen
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Leslie-Gower predator-prey system; nonlocal dispersal; traveling wave solution [PDF]
Electronic Journal of Differential EquationsIn this work we study the traveling wave solutions for a generalized nonlocal dispersal Leslie-Gower predator-prey system. Employing the truncation method and Schauder fixed-point theorem, we establish the existence of traveling waves connecting the semi-
Yu-Xia Hao, Zi-Ming Liu
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The nonlocal dispersal equation with seasonal succession [PDF]
Proceedings of the American Mathematical Society, 2023 In this paper, we focus on the nonlocal dispersal monostable equation with seasonal succession, which can be used to describe the dynamics of species in an environment alternating between bad and good seasons. We first prove the existence and uniqueness of global positive solution, and then discuss the long time behaviors of solution.
Zhang, Qianying, Wang, Mingxin
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Existence and uniqueness of positive solutions for a nonlocal dispersal population model
Electronic Journal of Differential Equations, 2014 In this article, we study the solutions of a nonlocal dispersal equation with a spatial weight representing competitions and aggregation. To overcome the limitations of comparison principles, we introduce new definitions of upper-lower solutions. The
Jian-Wen Sun
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Electronic Journal of Differential Equations, 2015 This article concerns the bistable traveling wavefronts of a nonlocal dispersal equation with convolution type bistable nonlinearity. Applying a homotopy method, we establish the existence of traveling wavefronts.
Guo-Bao Zhang, Ruyun Ma
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Advanced Nonlinear StudiesThe purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
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Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
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Local and nonlocal dispersive turbulence [PDF]
Physics of Fluids, 2009 We consider the evolution of a family of two-dimensional (2D) dispersive turbulence models. The members of this family involve the nonlinear advection of a dynamically active scalar field, and as per convention, the locality of the streamfunction-scalar relation is denoted by α, with smaller α implying increased locality (α=1 gives traditional 2D ...
Sukhatme, Jai, Smith, Leslie M.
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Dispersive shock waves with nonlocal nonlinearity [PDF]
Optics Letters, 2007 11 pages, 4 figures 2 added references on p ...
Barsi, Christopher +3 more
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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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