Results 41 to 50 of about 9,746 (134)

Mathematical Analysis of a General Two‐Patch Model of Tuberculosis Disease with Lost Sight Individuals

open access: yesAbstract 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

Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems

open access: yesCommunications 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

Threshold Dynamics of a Huanglongbing Model with Logistic Growth in Periodic Environments

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We analyze the impact of seasonal activity of psyllid on the dynamics of Huanglongbing (HLB) infection. A new model about HLB transmission with Logistic growth in psyllid insect vectors and periodic coefficients has been investigated. It is shown that the global dynamics are determined by the basic reproduction number R0 which is defined through the ...
Jianping Wang   +4 more
wiley   +1 more source

A Model for Prejudiced Learning in Noisy Environments

open access: yes, 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

Ergodic properties of infinite extensions of area-preserving flows [PDF]

open access: yes, 2011
We consider volume-preserving flows $(\Phi^f_t)_{t\in\mathbb{R}}$ on $S\times \mathbb{R}$, where $S$ is a closed connected surface of genus $g\geq 2$ and $(\Phi^f_t)_{t\in\mathbb{R}}$ has the form $\Phi^f_t(x,y)=(\phi_tx,y+\int_0^t f(\phi_sx)ds)$, where $
Fraczek, Krzysztof, Ulcigrai, Corinna
core   +2 more sources

Removable Singularities of Harmonic Functions on Stratified Sets

open access: yesSymmetry
There 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

Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum

open access: yesJournal 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

Repeated interactions in open quantum systems

open access: yes, 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

Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate

open access: yes, 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

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