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Dynamics and Biocontrol: The Indirect Effects of a Predator Population on a Host‐Vector Disease Model

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  • Fengyan Zhou
  • Hongxing Yao

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

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:252718
DOI: 10.1155/2014/252718
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