Results 41 to 50 of about 36,953 (196)
An epidemic model with nonlocal diffusion on networks
Networks and Heterogeneous Media, 2016 We consider a SIS system with nonlocal diffusion which is the continuous version of a discrete model for the propagation of epidemics on a metapopulation network.Under the assumption of limited transmission, we prove the global existence of a unique ...
Elisabeth Logak, Isabelle Passat
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Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type [PDF]
, 2016 We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem problem for the anomalous diffusion equation $\partial_tu-\mathcal{L}^\mu [\varphi (u)]=0$.
del Teso, Félix +2 more
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Numerical modeling of population 2D-dynamics with nonlocal interaction [PDF]
Компьютерные исследования и моделирование, 2010 Numerical solutions for the two-dimensional reaction-diffusion equation with nonlocal nonlinearity are obtained. The solutions reveal formation of dissipative structures.
Aleksei Vladimirovich Borisov +2 more
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Axioms, 2023 In this paper, we introduce the Crowley–Martin functional response and nonlocal competition into a reaction–diffusion immunosuppressive infection model.
Yuan Xue, Jinli Xu, Yuting Ding
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Continuous dependence estimates for nonlinear fractional convection-diffusion equations
, 2012 We develop a general framework for finding error estimates for convection-diffusion equations with nonlocal, nonlinear, and possibly degenerate diffusion terms.
Biler P. +5 more
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Distributed optimal control of a nonstandard nonlocal phase field system [PDF]
, 2016 We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi +2 more
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Electronic Research ArchiveThis paper has studied a predator-prey model that incorporates a nonlocal fear effect and nonlinear cross-diffusion under homogeneous Neumann boundary conditions.
Meiling Zhao, Sen Wang, Biao Liu
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Quasi-periodic solutions for the incompressible Navier-Stokes equations with nonlocal diffusion
Electronic Research Archive, 2023 This paper studied the incompressible Navier-Stokes (NS) equations with nonlocal diffusion on $ \mathbb{T}^d (d \ge 2) $. Driven by a time quasi-periodic force, the existence of time quasi-periodic solutions in the Sobolev space was established.
Shuguan Ji , Yanshuo Li
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Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries
Electronic Research Archive, 2022 In this paper, we consider a reaction-diffusion epidemic model with nonlocal diffusion and free boundaries, which generalises the free-boundary epidemic model by Zhao et al. [1] by including spatial mobility of the infective host population.
Ting-Ying Chang, Yihong Du
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Study of the dynamic formation of transmission gratings recorded in photopolymers and holographic polymer-dispersed liquid crystals [PDF]
, 2004 Local and nonlocal models for the diffusion of photopolymers are applied to the dynamic formation of transmission gratings recorded in photopolymers and holographic polymer-dispersed liquid crystals (H-PDLCs). We retrieve the main parameters of H-PDLCs (
Bowley +11 more
core +2 more sources