The present study is done to perform the optimal design of structural components buildings against unwanted wind load exerted on their outer face. To this end, case research wall made a one-floor building modeled as rectangular plate with only one free edge and three clamped ones. It assumed that sandwich whose core auxetic material dace-sheets are reinforced nanoparticles graphene platelets (GPL). Differential equations governing system's motion obtained within background plate's...

In this paper, the methods of construction a fractal surface are introduced, principle bivariate interpolation functions is discussed. The theorem uniqueness an iterated function system proved. Moreover, dimension interpolated derived. Based on these theorems, surfaces created by using practical data.

Due to the incurred damages combustors, large-amplitude self-sustained thermoacoustic oscillations are unwanted in many propulsion systems, such as liquid/solid rocket motors and aero-engines. To suppress these efficiently, mechanism of instability needs be clarified. Following previous experimental work, transitions a Rijke-type system with an axially distributed heat source studied numerically this paper. The URANS numerical method is utilized verified by means mesh sensitivity analysis....

This paper is concerned with a reaction-diffusion heroin model in bound domain. The objective of this to explore the threshold dynamics based on parameter and basic reproduction number (BRN) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msub><mml:mrow><mml:mi>ℜ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math>, it proved that if...

Foot-and-mouth disease is a highly contagious and economically devastating of cloven-hoofed animals. The historic occurrences foot-and-mouth diseases led to huge economic losses seriously threatened the livestock food security. In this paper, novel age-space diffusive model with Dirichlet boundary condition, coupling virus-to-animals animals-to-animals transmission routes, has been proposed. basic reproduction number R0 defined as spectral radius next generation operator K, which calculated...

In this paper, we propose and investigate an SIRS model with age structure two delays. Both the infected recovered individuals have structure, infection rate (from infective to susceptible) immune loss are related independent time delays, respectively. We prove that proposed structured is well-posed by using [Formula: see text]-semigroup theory. The basic reproduction number text] given, unique endemic equilibrium exists when text], while disease-free always exists. A rigorous mathematical...

Influenced by seasonal changes, the infection rate of many infectious diseases fluctuates in cycles. In this paper, we propose and investigate an SIRS model on a scale-free network. To seasonality, assume that is periodic. The existence positivity solutions proposed are proved basic reproduction number [Formula: see text] defined. global stability steady states determined rigorous mathematical analysis. When text], disease-free equilibrium globally asymptotically stable. system has unique...

Piping is a major factor contributing to river embankment breaches, particularly during flood season in small and medium rivers. To reduce the costs of earth rock inspections, avoid need for human inspectors enable quick widespread detection piping hazards, UAV image-acquisition function was introduced this study. Through collection analysis thermal infrared visible (TIR &amp; V) images from several field simulation experiments, temperature increases, diffusion centered on point were...

The fractals in the nature possess characteristics of statistically self-similar or multifractal. This paper introduces gives principles multifractal interpolation surface. methods dividing local neighborhood and determining multiple vertical compression ratios are described. A practical MATLAB program for surface is presented main parameters explained. Based on measured data, case studied. By comparison, more consistent with actual fault than self-affine fractal

In this paper, we propose an epidemic model with age-dependence vaccination, latency and relapse.We derive the positivity boundedness of solutions find basic reproduction number.Asymptotic smoothness, existence global compact attractor uniform persistence are investigated.By constructing Lyapunov functionals, establish stability equilibria in a threshold type.

In this paper, we investigate an epidemic model with quarantine and recovery-age effects. Reformulating the as abstract nondensely defined Cauchy problem, discuss existence uniqueness of solutions to study stability steady state based on basic reproduction number. After analyzing distribution roots a fourth degree exponential polynomial characteristic equation, also derive conditions Hopf bifurcation. Numerical simulations are performed illustrate results.

Abstract. The Generalized Likelihood Uncertainty Estimation (GLUE) method has been thrived for decades, huge number of applications in the field hydrological model have proved its effectiveness uncertainty and parameter estimation. However, many years, poor computational efficiency GLUE hampers further applications. A feasible way to solve this problem is integration modern CPU-GPU hybrid high performance computer cluster technology accelerate traditional method. In study, we developed a...

In this paper,we formulated an age-dependent model for the transmission dynamics of HBV with vaccination. The class acutely infectious individuals,asymptomatic carrier host population is stratified by age. Mathematically, we established that basic reproduction number can govern global stability equilibria. Biologically, verify impacts asymptomatic carriers and effectiveness vaccination on disease through numerical simulation. Our results indicated more individuals specific to frequently...

Abstract. Drought is a ubiquitous and reoccurring hazard that has wide ranging impacts on society, agriculture the environment. indices are vital for characterizing nature severity of drought hazards, there have been extensive efforts to identify most suitable monitoring risk assessments. However, date, little effort made explore which index(s) best represents various sectors in China. This critical knowledge gap, as provide important ‘ground truth’ information. They can be used demonstrate...

The main feature of fractals is the self-similarity. in nature have characteristics statistically self-similar or multifractal. This paper introduces formulas self-affine fractal interpolation surface, and gives principles multifractal surface. methods dividing local neighborhood determining multiple vertical compression ratios are described. Based on measured fault surface data, interpolated respectively. By comparison, more consistent with actual than