Population Dynamics of Children and Adolescents without Problematic Behavior

TL;DR

This paper introduces a mathematical model to analyze the population dynamics of children and adolescents without problematic behavior, incorporating a decreasing growth rate and providing tools to estimate social regulation effects.

Contribution

It presents a novel population model with a time-dependent growth coefficient to study non-problematic youth populations and social regulation impacts.

Findings

Defined the half-life time of non-problematic behavior in youth

Provided a criterion for social regulation estimation

Modeled population dynamics with a decreasing growth rate

Abstract

In this work we suggest a simple mathematical model for the dynamics of the population of children and adolescents without problematic behavior (criminal activities etc.). This model represents a typical population growth equation but with time dependent (linearly decreasing) population growth coefficient. Given equation admits definition of the half-life time of the non-problematic children behavior as well as a criterion for estimation of the social regulation of the children behavior.