Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

This short article carefully formulate a simple SI model for aparasite-host interaction through the basic birth and deathprocesses analysis. This model reveals and corrects an error insimilar models studied recently by various authors. Completemathematical investigation of this simple model shows th...

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Bibliographic Details
Main Authors: Tzy-Wei Hwang, Yang Kuang
Format: Article
Language:English
Published: AIMS Press 2005-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.743
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Summary:This short article carefully formulate a simple SI model for aparasite-host interaction through the basic birth and deathprocesses analysis. This model reveals and corrects an error insimilar models studied recently by various authors. Completemathematical investigation of this simple model shows that the hostextinction dynamics can happen and the outcomes may depend on theinitial conditions. We also present biological implications of ourfindings.
ISSN:1551-0018