Search arXivSearch

arXiv · 2303.17332

Clusters of African countries based on the social contacts and associated socioeconomic indicators relevant to the spread of the epidemic

Abstract

Introduction. It is well known that social contact patterns differ from country to country. This variation coincides with significant socioeconomic heterogeneity that complicates the design of effective non-pharmaceutical interventions. This study examined how socioeconomic heterogeneity in selected African countries might be factored in to explain better social contact mix patterns between countries. Methods. We used a standardized contact matrix for 32 African countries, estimated in [31]. We scaled the matrices using an epidemic model from [34]. We also analyzed aggregated data from the World Bank country website. The data includes 28 variables; social, economic, environmental, institutional, governance, health and well-being, education, gender inequality, and other development-related indicators describing countries. Principal components analysis was used to visualize socioeconomic similarities between countries and identify the indicators for maximum variation. The (2D)2 PC A approach was used to reduce the dimension of the synthetic contact matrices for each country to avoid the dimensionality curse. Agglomerative hierarchical clustering was then used to identify groups of countries with similar social patterns, taking into account the countrys socioeconomic performance. Results. Our model yielded four meaningful clusters, each with a few distinguishing features. Social contacts varied between groups but were generally similar within each set. The countrys socioeconomic performance influenced the clusters. Conclusions. Our results suggest that integrating socioeconomic factors into social contacts can better explain infectious disease transmission dynamics and that similar interventions can be implemented in countries within the cluster.

Explore related subjects

Keep this discovery

BibTeXRIS

Evans Kiptoo Korir, Zsolt Vizi. 2023-03-30. Clusters of African countries based on the social contacts and associated socioeconomic indicators relevant to the spread of the epidemic. https://arxiv.org/abs/2303.17332

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Admissible Fourier Lengths, KAM Reducibility, and Spectral Applications

We develop a perturbative KAM reducibility theory for one-frequency $\mathrm{SL}(2,\mathbb{R})$ cocycles based on an admissible Fourier length $\ell$. The regularity relevant to the iteration is measured by positive adapted Fourier width rather than ordinary smoothness in the Euclidean length $|n|$. The same length governs Fourier decay, truncation and resonance scales, and the arithmetic condition controlling the small divisors. This framework contains the classical analytic and Gevrey settings, while non-monotone choices of $\ell$ allow classical nowhere differentiable Weierstrass-type perturbations and continuous perturbations outside every positive H\"older class. As spectral applications, we obtain purely absolutely continuous spectrum for every phase and $1/2$-H\"older continuity of the integrated density of states for the associated quasiperiodic Schr\"odinger operators. The Aubry dual has pure point spectrum for Lebesgue almost every dual phase, with eigenfunctions exponentially localized in the metric induced by $\ell$. We also construct nowhere differentiable quasiperiodic potentials with purely absolutely continuous Cantor spectrum.

math.DS

Dynamics inside the attracting basins of some skew products

Polynomial skew products in $\mathbb{C}^2$ are maps of the form $F(z,w)=(P(z),Q(z,w))$, where $P$ and $Q$ are polynomials. Their local dynamics have been widely investigated. In this paper, we study the global dynamics inside Fatou components of some skew products. We consider all the inverse images in a Fatou component of a given point and use the Kobayashi metric to measure the distance between points. In the cases we consider, there are always arbitrarily large Kobayashi balls in the complement of these inverse sets.

math.DS

Ergodicity of dynamical systems without uniqueness of orbits

Recently, there has been considerable interest in the study of non-deterministic dynamical systems. To analyze the chaotic behavior of such systems from a measure-theoretic viewpoint, it is desirable to consider ergodicity. However, the classical definition of ergodicity involves invariant sets, whose definition is not unique for non-deterministic dynamical systems. Thus, we are led to the question of which invariance yields an interesting definition of ergodicity. Here, we propose a definition based on the strong backward invariance and show that analogs of classical results hold. We also consider implications of the Birkhoff ergodic theorem for systems without uniqueness of orbits.

math.DS