Skip to main content
Jump to: navigation, search

Difference between revisions of "Measles Transmission Model"

(Model)
(Model)
Line 22: Line 22:
  
 
'''Table 1''' Table of Parameters
 
'''Table 1''' Table of Parameters
 +
 +
Here are the differential equations:
 +
 +
 +
[[Image:cohort0.JPG]] (1)

Revision as of 16:17, 16 July 2013

Back to Available Models

Background

The immunization is decreasing.


Model

An MSEIRV model is developed to study the spread of measles and the effect of vaccination. M,S,E, I,R and V represent the maternal immunity, susceptible, exposed, infected, recovered and vaccinated populations respectively. N is the total population size which is the summation of all children and adolescents in all these states at a given time period (N=M+S+E+I+R+V). Figure 1 below shows the flow of the model with the rate parameters.


Measles.JPG

Fig. 1 Compartment Model of Measles Transmission in STEM

For this example, there are 3 cohorts 0-3, 4-6 and 7-19. Age of vaccination changes for different countries. In general, the first dose of MMR is registered around age 1 and the second dose is registered around age 5. Also, in addition to preschool children, measles cases are common in the adolescents. Thus, these three cohorts are included in the model. One might only use one cohort depending on the aim of the model and the data available. The maternal immunity would disappear by the age of 3. Once a model is built for a cohort in STEM, it replicates the structure for the other cohorts. The description of the parameters are given in Table 1 below.


Tableofparameters.JPG

Table 1 Table of Parameters

Here are the differential equations:


Cohort0.JPG (1)

Copyright © Eclipse Foundation, Inc. All Rights Reserved.