2,828 research outputs found
Dynamical Behavior of a stochastic SIRS epidemic model
In this paper we study the Kernack - MacKendrick model under telegraph noise.
The telegraph noise switches at random between two SIRS models. We give out
conditions for the persistence of the disease and the stability of a disease
free equilibrium. We show that the asymptotic behavior highly depends on the
value of a threshold which is calculated from the intensities of
switching between environmental states, the total size of the population as
well as the parameters of both SIRS systems. According to the value of
, the system can globally tend towards an endemic case or a disease
free case. The aim of this work is also to describe completely the omega-limit
set of all positive solutions to the model. Moreover, the attraction of the
omega-limit set and the stationary distribution of solutions will be pointed
out.Comment: 16 page
The Art of Future Life: Rethinking Personal Injury Law for the Negligent Deprivation of a Patient\u27s Right to Procreation in the Age of Assisted Reproductive Technologies
Global Production Increased by Spatial Heterogeneity in a Population Dynamics Model
Spatial and temporal heterogeneity are often described as important factors having a strong impact on biodiversity. The effect of heterogeneity is in most cases analyzed by the response of biotic interactions such as competition of predation. It may also modify intrinsic population properties such as growth rate. Most of the studies are theoretic since it is often difficult to manipulate spatial heterogeneity in practice. Despite the large number of studies dealing with this topics, it is still difficult to understand how the heterogeneity affects populations dynamics. On the basis of a very simple model, this paper aims to explicitly provide a simple mechanism which can explain why spatial heterogeneity may be a favorable factor for production.We consider a two patch model and a logistic growth is assumed on each patch. A general condition on the migration rates and the local subpopulation growth rates is provided under which the total carrying capacity is higher than the sum of the local carrying capacities, which is not intuitive. As we illustrate, this result is robust under stochastic perturbations
Translanguaging as a political act with Roma: carving a path between pluralism and collectivism for transformation
Translanguaging claims to advance social justice as a transformative pedagogy. This paper analyses a tension which developed over the life span of a European research project which aimed to improve the educational experience for Eastern European Roma pupils through teachers’ employment of a translanguaging pedagogy. Roma are ethnically and linguistically heterogeneous, but as a minority group face continued racism, whilst Roma pupils face educational exclusion. The voices of Roma parents, pupils and activists and academics alerted us to potential threats in utilising translanguaging as a political act for transformation in education. They revealed a central tension between recognition of linguistic pluralism for emancipation at school level (with possibilities for policy level changes at local or national levels) and unifying endeavours for collective action towards equality and human rights at a (trans)national level. To understand this tension we reframed it in light of the postmodernist positioning of translanguaging, and critiques of the de-politicizing tendencies of postmodernism. In proposing a way forward for research and pedagogy, we carve a path between pluralism and collectivism by placing translanguaging pedagogy and associated research into Nancy Fraser’s integrative model of recognition and redistribution for transformation
COCO: A Platform for Comparing Continuous Optimizers in a Black-Box Setting
We introduce COCO, an open source platform for Comparing Continuous
Optimizers in a black-box setting. COCO aims at automatizing the tedious and
repetitive task of benchmarking numerical optimization algorithms to the
greatest possible extent. The platform and the underlying methodology allow to
benchmark in the same framework deterministic and stochastic solvers for both
single and multiobjective optimization. We present the rationales behind the
(decade-long) development of the platform as a general proposition for
guidelines towards better benchmarking. We detail underlying fundamental
concepts of COCO such as the definition of a problem as a function instance,
the underlying idea of instances, the use of target values, and runtime defined
by the number of function calls as the central performance measure. Finally, we
give a quick overview of the basic code structure and the currently available
test suites.Comment: Optimization Methods and Software, Taylor & Francis, In press,
pp.1-3
A Three-Point Cosmic Ray Anisotropy Method
The two-point angular correlation function is a traditional method used to
search for deviations from expectations of isotropy. In this paper we develop
and explore a statistically descriptive three-point method with the intended
application being the search for deviations from isotropy in the highest energy
cosmic rays. We compare the sensitivity of a two-point method and a
"shape-strength" method for a variety of Monte-Carlo simulated anisotropic
signals. Studies are done with anisotropic source signals diluted by an
isotropic background. Type I and II errors for rejecting the hypothesis of
isotropic cosmic ray arrival directions are evaluated for four different event
sample sizes: 27, 40, 60 and 80 events, consistent with near term data
expectations from the Pierre Auger Observatory. In all cases the ability to
reject the isotropic hypothesis improves with event size and with the fraction
of anisotropic signal. While ~40 event data sets should be sufficient for
reliable identification of anisotropy in cases of rather extreme (highly
anisotropic) data, much larger data sets are suggested for reliable
identification of more subtle anisotropies. The shape-strength method
consistently performs better than the two point method and can be easily
adapted to an arbitrary experimental exposure on the celestial sphere.Comment: Fixed PDF erro
Сучасні підходи до формування системи регулювання інноваційного розвитку регіонів
Статья посвящена проблеме формирования концептуальных и методологических аспектов усовершенствования организационно-экономического механизма системы регулирования инновационного развития регионов. В статье
предложены принципы формирования такой системы, выделены блоки стратегии, которые требуют особого внимания и предложены направления их реализации.Стаття присвячена проблемі формування концептуальних та методологічних аспектів удосконалення організаційно-економічного механізму системи
регулювання інноваційного розвитку регіонів. У статті запропоновано принципи
формування такої системи, виділено блоки стратегії, що вимагають особливої
уваги і запропоновано напрямки їхньої реалізації.The article is devoted to the problem the formation of conceptual and methodological
aspects of improvement on organized-economical mechanism of the regulation
system in innovative development of the regions. The principles of formation in
such system, the strategies which need special attention and the directions in their
realization are proposed in this article
Probing Lorentz Invariance at EeV Energy
Pierre Auger experiment has detected at least a couple of ray events above
energy 60 EeV from the direction of the radio-galaxy Centaurus A. Assuming
those events are from Centaurus A, we have calculated the number of neutral
cosmic ray events from this source for small values of the degree of violation
in Lorentz invariance. Our results show that a comparison of our calculated
numbers of events with the observed number of events at EeV energy from the
direction of the source can probe extremely low value of the degree of this
violation.Comment: 8 pages,4 figure
Disentangling Baryons and Dark Matter in the Spiral Gravitational Lens B1933+503
Measuring the relative mass contributions of luminous and dark matter in
spiral galaxies is important for understanding their formation and evolution.
The combination of a galaxy rotation curve and strong lensing is a powerful way
to break the disk-halo degeneracy that is inherent in each of the methods
individually. We present an analysis of the 10-image radio spiral lens
B1933+503 at z_l=0.755, incorporating (1) new global VLBI observations, (2) new
adaptive-optics assisted K-band imaging, (3) new spectroscopic observations for
the lens galaxy rotation curve and the source redshift. We construct a
three-dimensionally axisymmetric mass distribution with 3 components: an
exponential profile for the disk, a point mass for the bulge, and an NFW
profile for the halo. The mass model is simultaneously fitted to the kinematics
and the lensing data. The NFW halo needs to be oblate with a flattening of
a/c=0.33^{+0.07}_{-0.05} to be consistent with the radio data. This suggests
that baryons are effective at making the halos oblate near the center. The
lensing and kinematics analysis probe the inner ~10 kpc of the galaxy, and we
obtain a lower limit on the halo scale radius of 16 kpc (95% CI). The dark
matter mass fraction inside a sphere with a radius of 2.2 disk scale lengths is
f_{DM,2.2}=0.43^{+0.10}_{-0.09}. The contribution of the disk to the total
circular velocity at 2.2 disk scale lengths is 0.76^{+0.05}_{-0.06}, suggesting
that the disk is marginally submaximal. The stellar mass of the disk from our
modeling is log_{10}(M_{*}/M_{sun}) = 11.06^{+0.09}_{-0.11} assuming that the
cold gas contributes ~20% to the total disk mass. In comparison to the stellar
masses estimated from stellar population synthesis models, the stellar initial
mass function of Chabrier is preferred to that of Salpeter by a probability
factor of 7.2.Comment: 16 pages, 13 figures, minor revisions based on referee's comments,
accepted for publication in Ap
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