Special Issue on Modelling in Infectious DiseasesNo Access

DYNAMICS OF INTERACTIVE MOSQUITO POPULATIONS WITH TWO TRANSGENES

CUIHONG YANG

School of Mathematics and Statistics, Central China Normal University, Wuhan, P. R. China

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and

JIA LI

Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA

Corresponding author.

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https://doi.org/10.1142/S0218339013400032Cited by:0 (Source: Crossref)

Abstract

We formulate a continuous-time 3D model system for the interactive mosquito populations with two different transgenes. We assume that the transgenes are dominant over the wild gene and that one of the transgenes is dominant over the other transgene. Using transformations, we translate the model system to its topologically equivalent 2D system. Based on the investigations of the reduced two-dimensional system, we obtain conditions for the existence and stability of boundary and positive equilibria. We provide numerical examples to demonstrate the rich and complex dynamical features of the model system.

Keywords:

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