An analysis of the coexistence of two host species with a shared pathogen
An analysis of the coexistence of two host species with a shared pathogen
Population dynamics of two-host species under direct transmission of an infectious disease or a pathogen is studied based on the Holt–Pickering mathematical model, which accounts for the influence of the pathogen on the population of the two-host species. Through rigorous analysis and a numerical scheme of study, circumstances are specified under which the shared pathogen leads to the coexistence of the two-host species in either a persistent or periodic form. This study shows the importance of intrinsic growth rates or the differences between birth rates and death rates of the two host susceptibles in controlling these circumstances. It is also demonstrated that the periodicity may arise when the positive intrinsic growth rates are very small, but the periodicity is very weak which may not be observed in an empirical investigation.
holt–pickering model, host population dynamics, host–host–pathogen interactions, stability and instability analysis
841-859
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
June 2008
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min and Price, W.G.
(2008)
An analysis of the coexistence of two host species with a shared pathogen.
Journal of Mathematical Biology, 56 (6), .
(doi:10.1007/s00285-007-0141-3).
Abstract
Population dynamics of two-host species under direct transmission of an infectious disease or a pathogen is studied based on the Holt–Pickering mathematical model, which accounts for the influence of the pathogen on the population of the two-host species. Through rigorous analysis and a numerical scheme of study, circumstances are specified under which the shared pathogen leads to the coexistence of the two-host species in either a persistent or periodic form. This study shows the importance of intrinsic growth rates or the differences between birth rates and death rates of the two host susceptibles in controlling these circumstances. It is also demonstrated that the periodicity may arise when the positive intrinsic growth rates are very small, but the periodicity is very weak which may not be observed in an empirical investigation.
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e-pub ahead of print date: 3 November 2007
Published date: June 2008
Keywords:
holt–pickering model, host population dynamics, host–host–pathogen interactions, stability and instability analysis
Organisations:
Fluid Structure Interactions Group
Identifiers
Local EPrints ID: 51272
URI: http://eprints.soton.ac.uk/id/eprint/51272
ISSN: 0303-6812
PURE UUID: 8f8886e7-4d19-4c69-a32b-5c76d8a76965
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Date deposited: 19 May 2008
Last modified: 15 Mar 2024 10:16
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Author:
Zhi-Min Chen
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