Abstract Generalizing the first-order shear deformation plate theory (FOPT) proposed by Ambartsumyan (Theory of anisotropic plates, Nauka, Moscow, 1967 ( in Russian )) to heterogeneous laminated nanocomposite plates and nonlinear vibration problem is analytically solved taking into account an elastic medium this study for first time. The Pasternak-type foundation model (PT-EF) used as model. After creating mathematical models rectangular with CNT originating layers on PT-EF, large amplitude...

The rapidly spreading Covid-19 that affected almost all countries, was first reported at the end of 2019. As a consequence its highly infectious nature, countries over world have imposed extremely strict measures to control spread. Since earliest stages this major pandemic, academics done huge amount research in order understand disease, develop medication, vaccines and tests, model Among these studies, great deal effort has been invested estimation epidemic parameters early stage, for by...

Multiple epidemic waves have been observed during the “Spanish Flu” (1918-1919) and Covid-19 (2019-2021) pandemics. The pandemic, characterized by H1N1 viral strain, was a severe well documented pandemic that manifested itself in three distinct spanning period of 18 months. has also multiple its data include information on variants ancestor virus. In this study, potential factors contributing to occurrence are discussed employing Susceptible- Infected- Removed SIR model. These may...

Abstract We investigate the self-modulation of Love waves propagating in a nonlinear half-space covered by layer. assume that constituent material layer is nonlinear, homogeneous, isotropic, compressible, and hyperelastic, whereas for half-space, it heterogeneous, compressible different hyperelastic material. By employing thin approximation, problem wave propagation layered reduced to one heterogeneous with modified homogeneous boundary condition on top surface. This new analyzed relevant...

The propagation of dispersive shock waves (DSWs) is investigated in the cylindrical Gardner (cG) equation, which obtained by employing a similarity reduction to two-space one-time ($2+1$) dimensional Gardner-Kadomtsev-Petviashvili (Gardner-KP) equation. We consider steplike initial condition along parabolic front. Then, cG-Whitham modulation system, description DSW evolution cG terms appropriate Riemann-type variables derived. Our study supported numerical simulations. comparison given...

In the present paper we prove several sharp two-weight Hardy, Hardy-Poincaré, and Rellich type inequalities on sub-Riemannian manifold R 2n+1 = n × defined by vector fields:where (z,y) (x,y,l) ∈ , |z| (|x| 2 + |y| ) 1/2 k 1 . Mathematics subject classification (2010): 22E30

In the standard Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models, peak of infected individuals coincides with inflection point removed individuals. Nevertheless, a survey based on data 2009 H1N1 epidemic in Istanbul, Turkey \citep{bib19} displayed time shift between hospital referrals fatalities. An analysis recent Covid-19 \citep{ahmetolan2020can} records for Spanish flu (1918-1919) SARS (2002-2004) epidemics confirm this observation. We use...

In this work, we consider the following nonlinear parabolic partial differential equations: in a cylinder Ω × (0, T) with initial condition u(w, 0) = u 0(w) ≥ 0 and vanishing on boundary ∂Ω T), where is Carnot Carathéodory metric ball ℝ2n+1 smooth time-dependent potential function , < m q 1 p + 1. We investigate nonexistence of positive solutions these two problems present our results nonexistence.

We are concerned with the nonexistence of positive solutions nonlinear parabolic partial differential equations in a cylinder Ω × (0, T) initial condition u(., 0) = u0(.) ⩾ 0 and vanishing on boundary ∂Ω T), given by where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\Omega \in \mathbf {R}^N$\end{document} (resp. Carnot Carathéodory metric ball \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbf {R}^{2N+1})$\end{document}...

Essential properties of the standart Susceptible-Infected-Removed (SIR) model are characterized in terms parameter, R_0, known as basic reproduction number.In present work, we investigate dependency R_0 on contact rates two distinct cases, 2009 A(H1N1) pandemic for Netherlands and Istanbul, Covid-19 federal states Germany. For data from pandemic, encompassing seven European countries (including Netherlands) Turkey, show that number is proportional to population density. We observe particular...