Pathogens can slow down or reverse invasion fronts of their hosts

Frank M. Hilker; Mark A. Lewis; Hiromi Seno; Michel Langlais; Horst Malchow

doi:10.1007/s10530-005-5215-9

Pathogens can slow down or reverse invasion fronts of their hosts

Frank M. Hilker, Mark A. Lewis, Hiromi Seno, Michel Langlais, Horst Malchow

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

58 Citations (Scopus)

Abstract

Infectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a non-native habitat, but then spontaneously disappears again. This study proposes a reaction-diffusion model consisting of a simple SI disease with vital dynamics of Allee effect type. By way of travelling wave analysis, conditions are derived under which the invasion of the host population is slowed down, stopped or reversed as a consequence of a subsequently introduced disease. Hence, pathogens can dramatically control the rate of spread of invasive species.

Original language	English
Pages (from-to)	817-832
Number of pages	16
Journal	Biological Invasions
Volume	7
Issue number	5
DOIs	https://doi.org/10.1007/s10530-005-5215-9
Publication status	Published - 2005 Sep
Externally published	Yes

Keywords

Allee effect
Epidemiology
Invasion
Pathogen
Reversal
SI model
Slow-down
Travelling wave

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics
Ecology

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s10530-005-5215-9

Cite this

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title = "Pathogens can slow down or reverse invasion fronts of their hosts",

abstract = "Infectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a non-native habitat, but then spontaneously disappears again. This study proposes a reaction-diffusion model consisting of a simple SI disease with vital dynamics of Allee effect type. By way of travelling wave analysis, conditions are derived under which the invasion of the host population is slowed down, stopped or reversed as a consequence of a subsequently introduced disease. Hence, pathogens can dramatically control the rate of spread of invasive species.",

keywords = "Allee effect, Epidemiology, Invasion, Pathogen, Reversal, SI model, Slow-down, Travelling wave",

author = "Hilker, {Frank M.} and Lewis, {Mark A.} and Hiromi Seno and Michel Langlais and Horst Malchow",

note = "Funding Information: F.M.H. and H.M. gratefully acknowledge support by the Japan Society for the Promotion of Science (Predoc and Research Fellowships PE04533 and S04716, respectively), which has made possible their stays in Japan during which parts of the presented results have been obtained. F.M.H. is thankful for discussion with the groups of H. Seno, N. Shigesada, Y. Iwasa, N. Yamamura and Y. Hosono as well as with S.V. Petrovskii. M.A.L. gratefully acknowledges support from a Canada Research Chair, NSERC Collaborative Research Opportunity and Discovery grants and the National Science Foundation Grant No. DEB-0213698. The authors thank two anonymous reviewers for helpful comments.",

year = "2005",

month = sep,

doi = "10.1007/s10530-005-5215-9",

language = "English",

volume = "7",

pages = "817--832",

journal = "Biological Invasions",

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TY - JOUR

T1 - Pathogens can slow down or reverse invasion fronts of their hosts

AU - Hilker, Frank M.

AU - Lewis, Mark A.

AU - Seno, Hiromi

AU - Langlais, Michel

AU - Malchow, Horst

N1 - Funding Information: F.M.H. and H.M. gratefully acknowledge support by the Japan Society for the Promotion of Science (Predoc and Research Fellowships PE04533 and S04716, respectively), which has made possible their stays in Japan during which parts of the presented results have been obtained. F.M.H. is thankful for discussion with the groups of H. Seno, N. Shigesada, Y. Iwasa, N. Yamamura and Y. Hosono as well as with S.V. Petrovskii. M.A.L. gratefully acknowledges support from a Canada Research Chair, NSERC Collaborative Research Opportunity and Discovery grants and the National Science Foundation Grant No. DEB-0213698. The authors thank two anonymous reviewers for helpful comments.

PY - 2005/9

Y1 - 2005/9

N2 - Infectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a non-native habitat, but then spontaneously disappears again. This study proposes a reaction-diffusion model consisting of a simple SI disease with vital dynamics of Allee effect type. By way of travelling wave analysis, conditions are derived under which the invasion of the host population is slowed down, stopped or reversed as a consequence of a subsequently introduced disease. Hence, pathogens can dramatically control the rate of spread of invasive species.

AB - Infectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a non-native habitat, but then spontaneously disappears again. This study proposes a reaction-diffusion model consisting of a simple SI disease with vital dynamics of Allee effect type. By way of travelling wave analysis, conditions are derived under which the invasion of the host population is slowed down, stopped or reversed as a consequence of a subsequently introduced disease. Hence, pathogens can dramatically control the rate of spread of invasive species.

KW - Allee effect

KW - Epidemiology

KW - Invasion

KW - Pathogen

KW - Reversal

KW - SI model

KW - Slow-down

KW - Travelling wave

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M3 - Article

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JO - Biological Invasions

JF - Biological Invasions

SN - 1387-3547

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ER -

Pathogens can slow down or reverse invasion fronts of their hosts

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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