English

Remarks on a rumor propagation model

Classical Analysis and ODEs 2016-11-29 v1

Abstract

This short note contains a few comments and corrections about some recent models for the spread of rumors in a population. We consider a system of ordinary differential equations which describes the evolution of Ignorant-Spreaders-Stiflers in time. State of the art of analytical understanding of those equations is based on studying asymptotic solutions of the rumor spreading equations. In this work we find a First Integral of these differential equations. We qualitatively discuss the evolution of the system in the light of those new more precise solutions.

Cite

@article{arxiv.1611.09222,
  title  = {Remarks on a rumor propagation model},
  author = {Alberto Ragagnin},
  journal= {arXiv preprint arXiv:1611.09222},
  year   = {2016}
}

Comments

11 pages, 5 figures

R2 v1 2026-06-22T17:06:45.585Z