Infection thresholds for two interacting pathogens in a wild animal population

We present a model for the dynamics of two interacting pathogen variants in a wild animal host population. Using the next-generation matrix approach we define the invasion threshold for one pathogen variant when the other is already established and at steady state. We then provide explicit criteria...

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Published in:Mathematical biosciences 2024-09, Vol.375, p.109258, Article 109258
Main Author: Roberts, M.G.
Format: Article
Language:English
Subjects:
Basic reproduction number
Ecology
Epidemiology
Interacting pathogen variants
Invasion thresholds
Next-generation matrix
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description We present a model for the dynamics of two interacting pathogen variants in a wild animal host population. Using the next-generation matrix approach we define the invasion threshold for one pathogen variant when the other is already established and at steady state. We then provide explicit criteria for the special cases where: i) the two pathogen variants exclude each other; ii) one variant excludes the other; iii) the population dynamics of hosts infected with both variants are independent of the order of infection; iv) there is no interaction between the variants; and v) one variant enhances transmission of the other. •A model for the interaction of two pathogen variants in an ecosystem.•A threshold quantity for the invasion by one pathogen variant when the other is present.•Explicit derivation of the threshold quantity for a selection of special cases.•An alternative quantity taking different values but with the same threshold.
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subjects Basic reproduction number
Ecology
Epidemiology
Interacting pathogen variants
Invasion thresholds
Next-generation matrix
title Infection thresholds for two interacting pathogens in a wild animal population
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