Exact Solution for a Chainlike Cluster Growth Model

An exact Solution for a Finite Solution Server Model

Exact solution of a stochastic SIR model

Abstract The susceptible-infectious-recovered (SIR) model describes the evolution of three species of individuals which are subject to an infection and recovery mechanism. A susceptible S can become infectious with an infection rate β by an infectious Itype provided that both are in contact. The Itype may recover with a rate γ and from then on stay immune. Due to the coupling between the differ...

Exact Solution of a Model of Localization

The exact solution is presented for the "susceptibility," χ (the number of sites covered by the maximally extended eigenfunction), for the zero-energy solutions of a hopping model on a randomly dilute Cayley tree. If p is the concentration, then χ~(p*−p)−1 with p*~pce1/ξ1, where pc is the critical percolation concentration and ξ1 the one-dimensional localization length. This result is argued to...

Designing a Model for Creation of Export Consortiain Business Cluster

Today, small and medium enterprises are considered as one of the main components of economic development for various reasons. To name a few, job creation, resource efficiency, the ability to enhance local technology, the ability to meet new needs, quick decision-making, and training successful managers will all lead to the growth and economic development of countries. Despite these benefits, sm...

An Exact Solution for Kelvin-Voigt Model Classic Coupled Thermo Viscoelasticity in Spherical Coordinates

In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general fo...