9,365 research outputs found
Pulse vaccination in the periodic infection rate SIR epidemic model
A pulse vaccination SIR model with periodic infection rate have
been proposed and studied. The basic reproductive number is defined. The
dynamical behaviors of the model are analyzed with the help of persistence,
bifurcation and global stability. It has been shown that the infection-free
periodic solution is globally stable provided and is unstable if
. Standard bifurcation theory have been used to show the existence of
the positive periodic solution for the case of . Finally, the
numerical simulations have been performed to show the uniqueness and the global
stability of the positive periodic solution of the system.Comment: 17pages and 3figures, submmission to Mathematical Bioscience
3D Textured Model Encryption via 3D Lu Chaotic Mapping
In the coming Virtual/Augmented Reality (VR/AR) era, 3D contents will be
popularized just as images and videos today. The security and privacy of these
3D contents should be taken into consideration. 3D contents contain surface
models and solid models. The surface models include point clouds, meshes and
textured models. Previous work mainly focus on encryption of solid models,
point clouds and meshes. This work focuses on the most complicated 3D textured
model. We propose a 3D Lu chaotic mapping based encryption method of 3D
textured model. We encrypt the vertexes, the polygons and the textures of 3D
models separately using the 3D Lu chaotic mapping. Then the encrypted vertices,
edges and texture maps are composited together to form the final encrypted 3D
textured model. The experimental results reveal that our method can encrypt and
decrypt 3D textured models correctly. In addition, our method can resistant
several attacks such as brute-force attack and statistic attack.Comment: 13 pages, 7 figures, under review of SCI
Local curvature and stability of two-dimensional systems
We propose a fast method to determine the local curvature in two-dimensional
(2D) systems with arbitrary shape. The curvature information, combined with
elastic constants obtained for a planar system, provides an accurate estimate
of the local stability in the framework of continuum elasticity theory.
Relative stabilities of graphitic structures including fullerenes, nanotubes
and schwarzites, as well as phosphorene nanotubes, calculated using this
approach, agree closely with ab initio density functional calculations. The
continuum elasticity approach can be applied to all 2D structures and is
particularly attractive in complex systems with known structure, where the
quality of parameterized force fields has not been established
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