Communications on Pure and Applied Analysis (CPAA)

Fluctuation and extinction dynamics in host-microparasite systems

Pages: 1537 - 1548, Volume 10, Issue 5, September 2011      doi:10.3934/cpaa.2011.10.1537

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Kaifa Wang - Department of Mathematics, College of Medicine, Third Military Medical University, Chongqing, 400038, China (email)
Yang Kuang - Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, United States (email)

Abstract: Although experimental and observational studies have shown that microparasites can induce the deterministic reduction, fluctuation and extinction scenarios for its host population, most existing host-parasite interaction models fail to produce such rich dynamical behaviors simultaneously. We explore the effects of explicit dynamics of parasites under logistic host growth and different infection rate function. Our results show that the explicit dynamics of parasites and standard incidence function can induce the host density fluctuation and extinction scenario in the case of logistic host growth.

Keywords:  Host-microparasite model, stability, reduction, fluctuation, extinction.
Mathematics Subject Classification:  Primary: 92D25, 92D30; Secondary: 34D23.

Received: August 2009;      Revised: August 2010;      Available Online: April 2011.