An analysis of the coexistence of two host species with a shared pathogen

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), 841-859. (doi:10.1007/s00285-007-0141-3).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/s00285-007-0141-3
ISSNs: 0303-6812 (print)
1432-1416 (electronic)
Keywords: holt–pickering model, host population dynamics, host–host–pathogen interactions, stability and instability analysis
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences > Fluid-Structure Interactions
ePrint ID: 51272
Accepted Date and Publication Date:
June 2008Published
3 November 2007Made publicly available
Date Deposited: 19 May 2008
Last Modified: 31 Mar 2016 12:29

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