Bifurcation analysis of an epizootiological model of avian malaria

9 Jul. 2018, 6:00 pm
2h
Holme Building---The Refectory (University of Sydney)

Holme Building---The Refectory

University of Sydney

20
Board: 208
Poster Presentation Disease - infectious Poster Session

Speaker

Mr Kyle Dahlin (Purdue University)

Description

Avian malaria is a mosquito-borne parasitic disease of birds caused by protists of the genera Plasmodium, most notably Plasmodium relictum. This disease has been identified as a primary cause of the drastic decline and extinctions of endemic birds on Pacific Islands. In this work, we formulate an epizootiological model of the transmission dynamics of avian malaria between a generic bird species and mosquito using a system of ODEs. We derive the basic reproduction number as well as criteria for the existence and stability of disease-free and enzootic equilibria. We discuss strategies for minimizing the impact of avian malaria in two scenarios: disease-free populations which may be invaded by avian malaria and populations where this disease is enzootic but where bird species have not developed resistance.

Primary authors

Mr Kyle Dahlin (Purdue University) Dr Zhilan Feng (Purdue University)

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