title: Host extinction dynamics in a simple parasite-host interaction model.
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.
authors.affiliation: Department of Mathematics, Kaohsiung Normal University, 802, Kaohsiung, Taiwan, R.O.C. t1445@nknucc.nknu.edu.tw.
authors.forename: Tzy-Wei
authors.initials: TW
authors.lastname: Hwang
authors.forename: Yang
authors.initials: Y
authors.lastname: Kuang