A development quadratic model of the heterogeneous biological population consisting of a few sub-populations is investigated. The classic stabilization problem of solutions for the system of ordinary quadratic differential equations, which describing this model, is solved. Examples are given. 2013 Elsevier Inc. All rights reserved.

‎in this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear pdes in mathmatical physics; namely the one-‎dimensional modified complex ginzburg-landau equation by using the $ (g^{'}/g) $ expansion method‎, homogeneous balance method, extended f-expansion method‎. ‎by ‎using homogeneous balance principle and the extended f-expansion, more periodic wave solutions expres...

Since the 1940s there has been an interest in the question of why social networks often give rise to two antagonistic factions. Recently a dynamical model of how and why such a balance might occur was developed. This note provides an introduction to the notion of social balance and a new (and simplified) analysis of that model. This new analysis allows us to choose general initial conditions, a...

Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

A population balance model is formulated for transport of stable particulate suspensions in porous media. Equations for particle and pore size distributions were derived from the stochastic Master equation. The model accounts for particle flow reduction due to restriction for large particles to move through small pores. An analytical solution for low particle concentration is obtained for gener...

AhstracePrecipitation in small droplets involving emulsions, microemulsions or vesicles is important for producing multicomponent ceramics and nanoparticles. Because of the random nature of nucleation and the small number of particles in a droplet, the use of a deterministic population balance equation for predicting the number density of particles may lead to erroneous results even for evaluat...

This study aims to analyze the role of Organizational Commitment Mediating Effect Work-Life Balance on Citizenship Behavior. was carried out at Denpasar City Land Office. The number population and sample used is 150 employees, with saturated method where all in this study. data collection a questionnaire. In study, analysis Structural Equation Modeling (SEM) based Partial Least Square (PLS). re...