Spreading of periodic diseases and synchronization phenomena on networks

In this paper, we investigate numerically the Susceptible–Infected–Recovered–Susceptible (SIRS) epidemic model on an exponential network generated by a preferential attachment procedure. The discrete SIRS model considers two main parameters: the duration _τ0${\tau }_0$ of the complete infection–recovery cycle and the duration _τI${\tau }_I$ of infection. A permanent source of infection _I0$I_0$ has also been introduced in order to avoid the vanishing of the disease in the SIRS model. The fraction of infected agents is found to oscillate with a period T≥_τ0$T\ge {\tau }_0$. Simulations reveal that the average fraction of infected agents depends on _I0$I_0$ and _τI/_τ0${\tau }_I/{\tau }_0$. A maximum of synchronization of infected agents, i.e. a maximum amplitude of periodic spreading oscillations, is found to occur when the ratio _τI/_τ0${\tau }_I/{\tau }_0$ is slightly smaller than 1/2$1/2$. The model is in agreement with the general observation that an outbreak corresponds to high _τI/_τ0${\tau }_I/{\tau }_0$ values.     

Selective gas-phase hydrogenation of benzaldehyde in the presence of Ni-, Co- and Fe-doped BaCuO2 delafossites: effect of metal substituent on the production of benzyl alcohol

Research on Chemical Intermediates - Delafossite mixed metal oxides of the form BaCuO2 and BaCu1M1?xO2 (M?=?Ni, Fe and Co) were successfully synthesized following a sol–gel...     

The Potential of the Diarsene Complex [(C5H5)2Mo2(CO)4(μ,η2-As2)] as a Connector Between Silver Ions

The reaction of the organometallic diarsene complex [Cp₂Mo₂(CO)₄(μ,η²-As₂)] ( B ) (Cp = C₅H₅) with Ag[FAl{OC₆F₁₀(C₆F₅)}₃] (Ag[FAl]) and Ag[Al{OC(CF₃)₃}₄] (Ag[TEF]), respectively, yields three unprecedented supramolecular assemblies [(η²- B )₄Ag₂][FAl]₂ ( 4 ), [(μ,η¹:η²- B )₃(η²- B )₂Ag₃][TEF]₃ ( 5 ) and [(μ,η¹:η²- B )₄Ag₃][TEF]₃ ( 6 ). These products are only composed of the complexes B and Ag^I. Moreover, compounds 5 and 6 are the only supramolecular assemblies featuring B as a linking unit, and the first examples of [Ag^I]₃ units stabilized by organometallic bichelating ligands. According to DFT calculations, complex B coordinates to metal centers through both the As lone pair and the As−As σ-bond thus showing this unique feature of this diarsene ligand.     

Nonequivalent Similarity Reductions and Exact Solutions for Coupled Burgers-Type Equations

Using the machinery of Lie group analysis,the nonlinear system of coupled Burgers-type equations is studied.Using the infinitesimal generators in the optimal system of subalgebra of the said Lie algebras,it leads to two nonequivalent similarity transformations by using it we obtain two reductions in the form of system of nonlinear ordinary differential equations.The search for solutions of these systems by using the G'/G-method has yielded certain exact solutions expressed by rational functions,hyperbolic functions,and trigonometric functions.Some figures are given to show the properties of the solutions.     

Non-isothermal spherical Couette flow of Oldroyd-B fluid

The present paper is concerned with non-isothermal spherical Couette flow of Oldroyd-B fluid in the annular region between two concentric spheres. The inner sphere rotates with a constant angular velocity while the outer sphere is kept at rest. The viscoelasticity of the fluid is assumed to dominate the inertia such that the latter can be neglected in the momentum and energy equations. An approximate analytical solution is obtained through the expansion of the dynamical variable fields in power series of Nahme number. Non-homogeneous, harmonic for axial- velocity and temperature equations and biharmonic for stream function equations, have been solved up to second order approximation. In comparison of the present work with isothermal case; [1,2], two additional terms; a first order velocity and a second order stream function are stem as a result of the interaction between the fluid viscoelasticity and temperature profile. These contributions prove to be the most important results for rheology in this work.     

Naphthyl methacrylate-phenylene diacrylate-based monolithic column for reversed-phase capillary electrochromatography via hydrophobic and π interactions

A neutral naphthyl methacrylate-phenylene diacrylate-based monolith (NPM) was introduced for RP-CEC of various neutral and charged solute probes via hydrophobic and π interactions. The NPM column was prepared by the in situ polymerization of naphthyl methacrylate as the functional monomer and 1,4-phenylene diacrylate (PDA) as the crosslinker in a ternary porogenic solvent containing cyclohexanol, dodecanol and water. The NPM column exhibited cathodal EOF despite the fact that it was devoid of any fixed charges. NPM exhibited stronger EOF than its counterpart naphthyl methacrylate monolith (NMM) made from the in situ polymerization of naphthyl methacrylate and trimethylolpropane trimethacrylate (TRIM). As for NMM, it is believed that the EOF arises from the adsorption of mobile phase ions onto the monolith surface. The higher EOF exhibited by NPM may be attributed to the acrylate nature of PDA as compared to the methacrylate nature of TRIM, and therefore PDA has a higher binding capacity for mobile phase ions due to its higher polarity than TRIM. The adsorption of mobile phase ions together with the additional π interactions offered by the aromatic rings of the NPM matrix modulated solute retention and separation selectivity. The applications of NPM were demonstrated by the separation of a wide range of small and large solutes including peptides, tryptic peptide maps and proteins.     

Acid gases partial pressures above a 50 wt% aqueous methyldiethanolamine solution: Experimental work and modeling

Aqueous amine solutions are widely used in the industry for acid gas removal. In order to treat natural gas or refinery process streams, an accurate knowledge of solubility data of carbon dioxide, hydrogen sulfide and other sulfur species in aqueous amine solutions is required. In this paper, new equilibrium measurements on 50 wt% aqueous methyldiethanolamine solution with CO₂ and H₂S have been produced. A simple way to correlate the data has been searched and found. First, a model proposed by Posey et al. in 1996, then a Deshmukh–Mather model are used to correlate “vapor–liquid” equilibria. The Posey et al. model lacks accuracy to represent the experimental data, especially for high loadings. The Deshmukh–Mather model shows good agreement as long as the total loading (H₂S + CO₂) does not reach 1.0.     

Elliptic equations in weighted Sobolev spaces of infinite order with L1 data

We deal with the existence and uniqueness of weak solutions for a class of strongly nonlinear boundary value problems of higher order with L¹ data in anisotropic‐weighted Sobolev spaces of infinite order. Copyright © 2009 John Wiley & Sons, Ltd.     

Spin lattice coupling in multiferroic hexagonal YMnO3

Aiming to shed light on the possible existence of hybrid phonon-magnon excitations in multiferroic manganites, neutron scattering measurements have been undertaken at LLB and ILL on the particular case of hexagonal YMnO₃. Our experiments focused on a transverse acoustic phonon mode polarized along the ferroelectric axis. The neutron data show that below the magnetic transition, this particular phonon mode splits in two different branches. The upper branch is found to coincide with a spin wave mode. This manifestation of a strong spin-lattice coupling is discussed in terms of a possible hybridization between the two types of elementary excitations, the phonon and magnons.