Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates

Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates

0.00 Avg rating0 Votes
Article ID: iaor20117444
Volume: 218
Issue: 2
Start Page Number: 280
End Page Number: 286
Publication Date: Sep 2011
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: population, stability, epidemiological models
Abstract:

In this paper, we introduce a basic reproduction number for a multigroup SEIR model with nonlinear incidence of infection and nonlinear removal functions between compartments. Then, we establish that global dynamics are completely determined by the basic reproduction number R 0. It shows that, the basic reproduction number R 0 is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stable and the disease dies out; whereas if it is larger than one, there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. Finally, two numerical examples are also included to illustrate the effectiveness of the proposed result.

Reviews

Required fields are marked *. Your email address will not be published.