Coexistence in host-pathogen systems

R. Durrett; N. Lanchier

doi:10.1016/j.spa.2007.07.008

Coexistence in host-pathogen systems

R. Durrett, N. Lanchier

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Lanchier and Neuhauser have initiated the study of host-symbiont systems but have concentrated on the case in which the birth rates for unassociated hosts are equal. Here we allow the birth rates to be different and identify cases in which a host with a specialist pathogen can coexist with a second species. Our calculations suggest that it is possible for two hosts with specialist pathogens to coexist but it is not possible for a host with a specialist mutualist to coexist with a second species.

Original language	English (US)
Pages (from-to)	1004-1021
Number of pages	18
Journal	Stochastic Processes and their Applications
Volume	118
Issue number	6
DOIs	https://doi.org/10.1016/j.spa.2007.07.008
State	Published - Jun 2008
Externally published	Yes

Keywords

Biased voter model
Branching process
Contact process
Pathogen

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1016/j.spa.2007.07.008

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AB - Lanchier and Neuhauser have initiated the study of host-symbiont systems but have concentrated on the case in which the birth rates for unassociated hosts are equal. Here we allow the birth rates to be different and identify cases in which a host with a specialist pathogen can coexist with a second species. Our calculations suggest that it is possible for two hosts with specialist pathogens to coexist but it is not possible for a host with a specialist mutualist to coexist with a second species.

KW - Biased voter model

KW - Branching process

KW - Contact process

KW - Pathogen

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Coexistence in host-pathogen systems

Abstract

Keywords

ASJC Scopus subject areas

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