In this article, we analyze a second-order stochastic SEIR epidemic model with latent infectious and susceptible populations isolated at home. Firstly, by putting forward novel inequality, provide criterion for the presence of an ergodic stationary distribution model. Secondly, establish sufficient conditions extinction. Thirdly, solving corresponding Fokker–Plank equation, derive probability d...

Population dynamics on a rugged landscape is studied analytically and numerically within a simple discrete model for evolution of N individuals in one-dimensional fitness space. We reduce the set of master equations to a single Fokker-Plank equation which allows us to describe the dynamics of the population in terms of thermo-activated Langevin diffusion of a single particle in a specific rando...

The main aim of the present work is to propose a new and simple algorithm to obtain a quick and accurate analytical solution of the time fractional Fokker–Plank equation which arises in various fields in natural science, including solid-state physics, quantum optics, chemical physics, theoretical biology, and circuit theory. This new and simple algorithm is an innovative adjustment in Laplace t...

H. Idei, N. Takeuchi, S. Kubo, A. Fukuyama, H. Nuga, M. Sakaguchi, N. Nakamura, K. Hanada, H. Zushi, K. N. Sato, M. Sakamoto, M. Hasegawa, Y. Takase, O. Mitarai, T. Maekawa and Y. Kishimoto Research Institute for Applied Mechanics, Kyushu University, Kasuga 816–8580, Japan Ariake National College of Technology, Ohmuta 836–8585, Japan National Institute for Fusion Science, Toki 509–5292, Japan D...

Consider a classical system of N identical particles. We are interested in a situation where the number of particles N is very large and the interaction strength quite moderate. In addition we look for a reduced or macroscopic description of the system. According to the general prescription of the kinetic theory, we introduce r > 0, a small parameter expressing the ratio between the macro and t...

kinetic equations with positive collision operators Abstract We consider " forward-backward " parabolic equations in the abstract form Jdψ/dx+Lψ = 0, 0 < x < τ ≤ ∞, where J and L are operators in a Hilbert space H such that J = J * = J −1 , L = L * ≥ 0, and ker L = 0. The following theorem is proved: if the operator B = JL is similar to a self-adjoint operator, then associated half-range bounda...

In many biological and social systems, where the ideal of heritance and aberrance exist at the same time, normal distribution failed in describing the distributions of variables. In stead, many real data as well as simulations indicate that log-normal distribution and power-law distribution can characterize many properties of this kind of systems. In this paper, the failure of normal distributi...

The purpose of the study was to compare core muscle activation of the tradition prone plank with a modified version performed with a long-lever and posterior-tilt using surface electromyography. To further determine if a specific component of this modified plank was more effective than the other in enhancing muscle activity, the plank with a long lever and the plank with a posterior pelvic tilt...

We present a novel strategy aimed at restoring correct convergence in complex Langevin simulations. The central idea is to incorporate system-specific prior knowledge into the simulations, order circumvent NP-hard sign problem. In do so, we modify using kernels and propose use of modern auto-differentiation methods learn optimal kernel values. optimization process guided by functionals encoding...

[Purpose] The purpose of this study was to investigate the effect of isometric hip adduction and abduction on trunk muscle activity during plank exercises. [Subjects and Methods] Nineteen healthy male subjects were recruited for this study. All subjects performed the traditional plank exercise (TP), plank exercise with isometric hip adduction (PHAD), and plank exercise with isometric hip abduct...