Mathematical epidemiology of infectious diseases

2009 ◽  
pp. 151-186 ◽  
Author(s):  
David Earn
Keyword(s):  
Infectious Diseases ◽  
Mathematical Epidemiology

scholarly journals Stochastic Approach in Epidemic Modeling Using the SEIRS

2019 ◽  
Vol 12 (3) ◽  
pp. 834-845
Author(s):  
Hay Yoba Talkibing ◽  
Barro Diakarya ◽  
Ouoba Fabrice
Keyword(s):  
Infectious Diseases ◽  
Random Environment ◽  
Stochastic Approach ◽  
Random Model ◽  
Transmission Dynamics ◽  
Mathematical Epidemiology ◽  
Epidemic Modeling ◽  
Stochastic Version ◽  
The Stability ◽  
Over Time

The study of infectious diseases represents one of the oldest and richest sectors of biomathematics. The transmission dynamics of these diseases are still a major problem in mathematical epidemiology. In this work, we propose a stochastic version of a SEIRS epidemiological model for infectious diseases evolving in a random environment for the propagation of infectious diseases. This random model takes into account the rates of immigration and mortality in each compartment and the spread of these diseases follows a four-state Makovian process. We first study the stability of the model and then estimate the marginal parameters of each disease state over time. Real measles data are applied to the model.

Infectious Diseases in the Geriatric Patient

1982 ◽  
Vol 15 (2) ◽  
pp. 421-438 ◽  
Author(s):  
John G. Corcoran ◽  
Stanton G. Axline
Keyword(s):  
Infectious Diseases ◽  
Geriatric Patient
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