Results 41 to 50 of about 9,794 (135)
A Hand‐Foot‐and‐Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We establish an SEIQRS epidemic model with periodic transmission rate to investigate the spread of seasonal HFMD in Wenzhou. The value of this study lies in two aspects. Mathematically, we show that the global dynamics of the HFMD model can be governed by its reproduction number R0; if R0 < 1, the disease‐free equilibrium of the model is globally ...
Yeting Zhu +6 more
wiley +1 more source
A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, Volume 297, Issue 4, Page 1275-1309, April 2024.Abstract We study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
Pavel Řehák
wiley +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A two‐patch model, SEi1 … EinIiLi, i = 1,2, is used to analyze the spread of tuberculosis, with an arbitrary number n of latently infected compartments in each patch. A fraction of infectious individuals that begun their treatment will not return to the hospital for the examination of sputum.
Abdias Laohombé +6 more
wiley +1 more source
A Model for Prejudiced Learning in Noisy Environments
, 2004 Based on the heuristics that maintaining presumptions can be beneficial in uncertain environments, we propose a set of basic axioms for learning systems to incorporate the concept of prejudice.
Andreas U. Schmidt +32 more
core +2 more sources
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 221-283, January 2024.Abstract Koopman operators are infinite‐dimensional operators that globally linearize nonlinear dynamical systems, making their spectral information valuable for understanding dynamics. However, Koopman operators can have continuous spectra and infinite‐dimensional invariant subspaces, making computing their spectral information a considerable ...
Matthew J. Colbrook, Alex Townsend
wiley +1 more source
On a Poincaré-Perron problem for high order differential equation [PDF]
, 2021 H. Bustos, Pablo Figueroa, Manuel Pinto
openalex +1 more source
Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works.
Ning Song, Richard I. Avery
wiley +1 more source
Removable Singularities of Harmonic Functions on Stratified Sets
SymmetryThere are deep historical connections between symmetry, harmonic functions, and stratified sets. In this article, we prove an analog of the removable singularity theorem for bounded harmonic functions on stratified sets.
N. S. Dairbekov +2 more
semanticscholar +1 more source
Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate
, 2016 We are interested in the large time behavior of the solutions to the growth-fragmentation equation. We work in the space of integrable functions weighted with the principal dual eigenfunction of the growth-fragmentation operator.
Bernard, Etienne, Gabriel, Pierre
core +3 more sources
Repeated interactions in open quantum systems
, 2013 Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the dynamics of quantum ...
Bruneau, Laurent +2 more
core +3 more sources