Modeling and analysis of epidemic diffusion with population migration
type: Item
instance of: scholarly article
title: Modeling and analysis of epidemic diffusion with population migration
zbMATH Open document ID: 1397.92651
DOI: 10.1155/2013/583648
author: Yanyan Li
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: An improved susceptible-infected-susceptible (SIS) epidemic diffusion model with population migration between two cities is modeled. Global stability conditions for both the disease-free equilibrium and the endemic equilibrium are analyzed and proved. The main contribution of this paper is reflected in epidemic modeling and analysis which considers unequal migration rates, and only susceptible individuals can migrate between the two cities. Numerical simulation shows when the epidemic diffusion system is stable, number of infected individuals in one city can reach zero, while the number of infected individuals in the other city is still positive. On the other hand, decreasing population migration in only one city seems not as effective as improving the recovery rate for controlling the epidemic diffusion.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6950759
zbMATH Keywords: epidemic diffusion
zbMATH Keywords: endemic equilibrium
zbMATH Keywords: global stability
Wikidata QID: Q59003101
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/583648
OpenAlex ID: W2019407235
DBLP publication ID: journals/jam/LiuX13a
description: scientific article; zbMATH DE number 6950759