Multidimensional population modeling with transition structures

TL;DR

This paper develops a population model incorporating transition structures, analyzing spectral properties of transition matrices to understand their impact on population dynamics, with interpretations for both irreducible and reducible cases.

Contribution

It introduces a detailed spectral analysis of transition matrices in population models, providing new insights into their effects on population behavior.

Findings

Spectral properties vary significantly between irreducible and reducible transition matrices.

Physical interpretations link spectral characteristics to population dynamics.

The analysis offers a framework for understanding complex population transitions.

Abstract

The aim of this paper is to describe a population model with transition. We analyze the spectral properties of the transition matrix considering both irreducible and reducible structures. We give physical interpretations of these properties to population dynamics.