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Microparasite population dynamics and continuous immunity

L J White¹, G F Medley

¹Department of Biological Sciences, University of Warwick, Coventry, UK. lisa@oikos.warwick.ac.uk

Proceedings. Biological Sciences

|November 20, 1998

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This study introduces a mathematical model for microparasite transmission, incorporating host immunity dynamics. The model offers a generalized framework for understanding pathogen spread and vaccine efficacy.

Area of Science:

Epidemiology
Mathematical Biology
Immunology

Background:

Existing models often simplify host immunity.
Understanding intra-host immunity dynamics is crucial for accurate transmission modeling.
Microparasite transmission involves complex interactions between host immunity and pathogen exposure.

Purpose of the Study:

To develop a novel mathematical model for microparasite transmission.
To incorporate continuous variation in host immunity within and between infection states.
To provide a generalized framework encompassing traditional epidemiological models.

Main Methods:

Developed a mathematical model with two host states (uninfected, infected) and a continuous immunity range.
Modeled immunity dynamics including waning (uninfected) and increasing (infected) immunity.

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Analyzed equilibrium conditions to relate the model to existing susceptible-infected-resistant (SIR) and susceptible-infected-susceptible (SIS) models.

Main Results:

The proposed model integrates inter- and intra-host dynamics.
Immunity level influences both infection susceptibility and infectivity.
The model generalizes SIR and SIS models, offering a more comprehensive approach.

Conclusions:

This generalized model enhances the study of multi-strain pathogen transmission.
It is valuable for evaluating vaccines conferring temporary protection.
The framework allows for a deeper understanding of immunity's role in infectious disease dynamics.