Abstract

.Disease and predation are both highly important in ecology, and pathogens with multiple host species have turned out to be common. Nonetheless, the interplay between multi-host epidemics and predation has received relatively little attention. Here, we analyse a model of a predator-prey system with disease in both prey and predator populations and determine reasonable parameter values using allometric mass scaling relations. Our analysis focuses on the possibility of extinction events rather than the linear stability of the model equations, and we derive approximate relations for the parameter values at which we expect these events to occur. We find that if the predator is a specialist, epidemics frequently drive the predator species to extinction. If the predator has an additional, immune prey species, predators will usually survive. Coexistence of predator and disease is impossible in the single-prey model. We conclude that for the prey species, carrying a pathogen can be an effective weapon against predators, and that being a generalist is a major advantage for a predator in the event of an epidemic affecting the prey or both species.Graphical abstract

Highlights

  • Predation is one of the fundamental modes of interaction among living organisms

  • Our analysis focuses on the possibility of extinction events rather than the linear stability of the model equations, and we derive approximate relations for the parameter values at which we expect these events to occur

  • We find that if the predator is a specialist, epidemics frequently drive the predator species to extinction

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Summary

Andreas Eilersena and Kim Sneppenb

Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 København Ø, Denmark. This article is published with open access at Springerlink.com

Introduction
The model
Sy ν my
The reproduction number is related to the infection coefficient as
Examining parameter space
Given our assumption that
Infected prey population
Author contribution statement

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