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Modeling Multiple Sclerosis in the Two Sexes: MOG35-55-Induced Experimental Autoimmune Encephalomyelitis

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A multigroup model for a heterosexually transmitted disease.

R Edwards¹, Sehjeong Kim, Pauline van den Driessche

¹Department of Mathematics and Statistics, University of Victoria P.O. BOX 3060 STN CSC, Victoria, BC, Canada. edwards@math.uvic.ca

Mathematical Biosciences

|January 2, 2010

Summary

This summary is machine-generated.

This study models sexually transmitted diseases in populations with a high-activity core group. It determines control strategies, like reducing contact rates, to eradicate diseases, especially gonorrhea.

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Area of Science:

Epidemiology and Mathematical Modeling
Public Health Interventions

Background:

Heterosexually transmitted diseases often involve core groups with higher sexual activity.
Understanding disease dynamics within these core groups is crucial for effective control.

Purpose of the Study:

To develop control strategies for eradicating sexually transmitted diseases using a multigroup model.
To determine type reproduction numbers and their graph-theoretic interpretation for disease eradication.

Main Methods:

A multigroup mathematical model was developed, focusing on a central core group with higher sexual activity.
Graph-theoretic interpretation of type reproduction numbers was established for a star network.
A two-group model (core and non-core) was analyzed to determine eradication thresholds.

Main Results:

Formulas were derived to quantify the necessary reduction in contact rates or increase in treatment within the core group for disease eradication.
If the disease cannot persist in isolation in either group, the required reduction in the connection between groups was determined.
The model was illustrated using parameters relevant to gonorrhea in the United States.

Conclusions:

Mathematical modeling provides a framework for designing targeted interventions against sexually transmitted diseases.
Control strategies depend on the disease's persistence within isolated groups versus its transmission between groups.
Specific parameters for gonorrhea in the US demonstrate the practical application of the model for public health planning.