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Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

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

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.
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Keywords host extinction; global stability.; Parasite-host interaction

Citation: Tzy-Wei Hwang, Yang Kuang. Host Extinction Dynamics in a Simple Parasite-Host Interaction Model. Mathematical Biosciences and Engineering, 2005, 2(4): 743-751. doi: 10.3934/mbe.2005.2.743

 

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Copyright Info: 2005, Tzy-Wei Hwang, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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