Fluctuation and extinction dynamics inhost-microparasite systems

Kaifa Wang; Yang Kuang

doi:10.3934/cpaa.2011.10.1537

Article Contents

2011, Volume 10, Issue 5: 1537-1548. Doi: 10.3934/cpaa.2011.10.1537

This issue Previous Article Structural parameter optimization of linear elastic systems Next Article

Fluctuation and extinction dynamics in host-microparasite systems

Kaifa Wang^1, and
Yang Kuang^2,

1.
Department of Mathematics, College of Medicine, Third Military Medical University, Chongqing, 400038
2.
Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804

Received: July 31, 2009

Revised: July 31, 2010

Published: August 2011

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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.

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Mathematics Subject Classification: Primary: 92D25, 92D30; Secondary: 34D23.

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