SIS epidemic propagation on hypergraphs

Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact master equations of the propagation process are derived for an arbitrary hypergraph given by its incidence matrix. Based on these, moment closure approximation and mean-field models are introduced and compared to individual-based stochastic simulations. The simulation algorithm, developed for networks, is extended to hypergraphs. The effects of hypergraph structure and the model parameters are investigated via individual-based simulation results

Control of epidemic propagation on networks by using a mean-field model

Epidemic propagation is controlled conventionally by vaccination or by quarantine. These methods have been widely applied for different compartmental ODE models of epidemic propagation. When epidemic spread is considered on a network, then it is natural to control the propagation process by changing the network structure. Namely, SI links, connecting a susceptible individual to an infected one, can be deleted. This would lead to a disconnected network, which is not realistic, hence new SS links can be created in order to keep the network well connected. Thus it seems to be promising to drive the process to a target with no infection and a prescribed average degree by deleting SI links and creating SS links in an appropriate way. It was shown previously that this can be done for the pairwise ODE approximation of SIS epidemic propagation. In this paper this is extended to the original stochastic process by using the control signals computed from the ODE approximation

Control of epidemic propagation on networks by using a mean-field model : Dedicated to Professor László Hatvani on the occasion of his 75th birthday

Epidemic propagation is controlled conventionally by vaccination or by quarantine. These methods have been widely applied for different compartmental ODE models of epidemic propagation. When epidemic spread is considered on a network, then it is natural to control the propagation process by changing the network structure. Namely, SI links, connecting a susceptible individual to an infected one, can be deleted. This would lead to a disconnected network, which is not realistic, hence new SS links can be created in order to keep the network well connected. Thus it seems to be promising to drive the process to a target with no infection and a prescribed average degree by deleting SI links and creating SS links in an appropriate way. It was shown previously that this can be done for the pairwise ODE approximation of SIS epidemic propagation. In this paper this is extended to the original stochastic process by using the control signals computed from the ODE approximation

Control of epidemic propagation on networks by using a mean-field model

Epidemic propagation is controlled conventionally by vaccination or by quarantine. These methods have been widely applied for different compartmental ODE models of epidemic propagation. When epidemic spread is considered on a network, then it is natural to control the propagation process by changing the network structure. Namely, SI links, connecting a susceptible individual to an infected one, can be deleted. This would lead to a disconnected network, which is not realistic, hence new SS links can be created in order to keep the network well connected. Thus it seems to be promising to drive the process to a target with no infection and a prescribed average degree by deleting SI links and creating SS links in an appropriate way. It was shown previously that this can be done for the pairwise ODE approximation of SIS epidemic propagation. In this paper this is extended to the original stochastic process by using the control signals computed from the ODE approximation

Summer Gifts from the Hive: Botanical Origin, Antioxidant Capacity, and Mineral Content of Hungarian Honeys

Although Hungary is one of the biggest honey producers in the EU, there is little information on diagnostic traits, nutritional value, and potential health benefits of the honeys produced in this Central European country. The aim of this study was to perform a complex analysis of eight Hungarian summer honeys, focusing on melissopalynology, antioxidant measurements with three different assays, and the macro- and microelement profile. Light-colored honey types included a multifloral honey and unifloral phacelia, milkweed, and linden honeys; dark-colored honeys were represented by unifloral goldenrod, sunflower, and chestnut honeys and a dark multifloral honey. Pollen analysis and sensory traits confirmed the botanical origin of each unifloral honey, while the dominance of Tilia- and Lamiaceae-pollen was observed in the light- and dark-colored multifloral honeys, respectively. The total reducing capacity (TRC) assay and the microelement content clearly separated the light- and dark-colored honeys. The oxygen radical absorbance capacity (ORAC) assay highlighted the strong antioxidant activity of linden honey, comparable to that of dark-colored honeys. Multivariate statistical analysis revealed correlations between antioxidant assays, color, and mineral content of honeys. The results contribute to establishing unique character sets for each honey type, aiding proper identification and quality control of these natural products

Quality Assessment of Goldenrod, Milkweed and Multifloral Honeys Based on Botanical Origin, Antioxidant Capacity and Mineral Content

The goal of the study was to evaluate the pollen spectrum, antioxidant capacity and mineral content of four Hungarian honey types, using multivariate statistical analysis. The light colored honeys were represented by milkweed honey and a multifloral (MF) honey with dominant pollen frequency of linden (MF-Tilia); the darker ones were goldenrod honey and a multifloral honey with Lamiaceae pollen majority (MF-Lamiaceae). The pollen spectrum of the samples was established with melissopalynological analysis. The absorbance of the honeys positively correlated with the antioxidant capacity determined with three of the used methods (TRC, TEAC, DPPH), but not with ORAC. The latter method correlated negatively also with other antioxidant methods and with most of the mineral values. MF-Tilia had high ORAC value, K and Na content. The MF-Lamiaceae had the highest K, Mg, P, S, Cu and Zn content, the last five elements showing strict correlation with the TRC method. The darker goldenrod honey had higher SET values and total mineral content, than the milkweed honey. The above character-sets facilitate identification of each honey type and serve as indicators of variety. The antioxidant levels and mineral content of honeys allowed their clear separation by principal component analysis (PCA)