Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

Tzy-Wei Hwang; Yang Kuang

doi:10.3934/mbe.2005.2.743

Article Contents

2005, Volume 2, Issue 4: 743-751. Doi: 10.3934/mbe.2005.2.743

This issue Previous Article An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery Next Article The Role of Vaccination in the Control of SARS

Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

Tzy-Wei Hwang^1, and
Yang Kuang^2,

1.
Department of Mathematics, Kaohsiung Normal University, 802, Kaohsiung, Taiwan, R.O.C.
2.
Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804

Received: May 31, 2005

Revised: July 31, 2005

Published: September 2005

Abstract Related Papers Cited by

Abstract

This short article carefully formulate a simple SI model for a parasite-host interaction through the basic birth and death processes analysis. This model reveals and corrects an error in similar models studied recently by various authors. Complete mathematical investigation of this simple model shows that the host extinction dynamics can happen and the outcomes may depend on the initial conditions. We also present biological implications of our findings.

Keywords:

Mathematics Subject Classification: 34C25, 34C35, 92D25.

Citation:

Article Metrics

HTML views() PDF downloads(83) Cited by(0)

Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content