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2014 Dynamics and Biocontrol: The Indirect Effects of a Predator Population on a Host-Vector Disease Model
Fengyan Zhou, Hongxing Yao
Abstr. Appl. Anal. 2014: 1-14 (2014). DOI: 10.1155/2014/252718

Abstract

A model of the interactions among a host population, an insect-vector population, which transmits virus from hosts to hosts, and a vector predator population is proposed based on virus-host, host-vector, and prey (vector)-enemy theories. The model is investigated to explore the indirect effect of natural enemies on host-virus dynamics by reducing the vector densities, which shows the basic reproduction numbers R01 (without predators) and R02 (with predators) that provide threshold conditions on determining the uniform persistence and extinction of the disease in a host population. When the model is absent from predator, the disease is persistent if R01>1; in such a case, by introducing predators of a vector, then the insect-transmitted disease will be controlled if R02<1. From the point of biological control, these results show that an additional predator population of the vector may suppress the spread of vector-borne diseases. In addition, there exist limit cycles with persistence of the disease or without disease in presence of predators. Finally, numerical simulations are conducted to support analytical results.

Citation

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Fengyan Zhou. Hongxing Yao. "Dynamics and Biocontrol: The Indirect Effects of a Predator Population on a Host-Vector Disease Model." Abstr. Appl. Anal. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/252718

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07022009
MathSciNet: MR3166583
Digital Object Identifier: 10.1155/2014/252718

Rights: Copyright © 2014 Hindawi

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