Work

Analysis of a Delayed SIR Model with Exponential Birth and Saturated Incidence Rate

Year: 2013

Type: article

Abstract: In this paper, a delayed SIR model with exponential demographic structure and the saturated incidence rate is formulated. The stability of the equilibria is analyzed with delay: the endemic equilibrium is locally stable without delay; and the endemic equilibrium is stable if the delay is under some condition. Moreover the dynamical behaviors from stability to instability will change with an appropriate critical value. At last, some numerical simulations of the model are given to illustrate the main theoretical results.

Source: Applied Mathematics

DOI: 10.4236/am.2013.410a2006

Authors: Wanwan Wang, Maoxing Liu, Jinqing Zhao

Institution: North University of China

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: 基于复杂网络的传染病模型研究, G5503175958