In this article, we generalize a recently proposed method to obtain an exact general solution for the classical Susceptible, Infected, Recovered and Susceptible (SIRS) epidemic mathematical model. This generalization is based upon the nonlinear coupling of two frequencies in an infinite modal...

A stochastic model for epidemic spread in a set of individuals placed upon the sites of a complete graph of relations is investigated. The model is defined by three parameters: the number of individuals or sites, N, the probability that an infected site transmits the disease to a susceptible...

In this paper we extend a compartmental model to the case of a homogenous network epidemic model for a study of the dynamics of obese populations. The social epidemic network-based approach developed here uses different algorithms and points of views regarding the simulation of the dynamics of...

A variation of Rosenstock's trapping model in which N independent random walkers are all initially placed upon a site of a one-dimensional lattice in the presence of a one-sided random distribution (with probability c) of absorbing traps is investigated. The probability (survival probability)...

The response function for random walks on a bond disordered lattice is calculated in the effective medium approximation (EMA). The basis for this approximation is reviewed and several exact limits preserved by this model are noted. For low density bond disorder the velocity autocorrelation...

The nonlinear Boltzmann equation (N.L.B.E.) for the persistent scattering model of Futcher and Hoare can be completely solved by a straightforward application of the Fourier transform method for general Maxwell models. It then follows: (i) that the N.L.B.E. for this model possesses the...

Explicit expressions are derived for thermal transport coefficients (heat conductivity, viscosities) L(ϱ, β) as a function of density and temperature for a cellular automaton fluid with nontrivial energy conservation and a physically meaningful definition of temperature. The functions L(ϱ,...

We show that the long time behaviour of the velocity correlation function in a two-dimensional classical system with pairwise repulsive potentials can be represented by a series expansion of the form 〈υ1xυ1x(t)〉 = d0t−1 + d1t−1log t/t0 + d2t−1(log t/t0)2 + …, where t0 is mean free...

We continue our study of the nonlinear Boltzmann equation for “diffuse” binary scattering between subsystems in a microcanonical ensemble. Exact similarity solutions of Bobylev-Krook-Wu type are found for systems of arbitrary dimensionality and in both continuous and discrete state...

The nonlinear Boltzmann equation is solved analytically for general initial distributions in a (spatially homogeneous) system of very hard particles (VHP) with two translational degrees of freedom and with a transition probability for binary collisions (vw →v′w′) proportional to δ(v2 + w2...