Mathematical insights and integrated strategies for the control of Aedes aegypti mosquito

Highlights：

• The existence of positive equilibria is characterized in terms of two biologically relevant threshold quantities.

• A nonstandard finite difference (NSFD) scheme is used to approximate the continuous model.

• It is observed that a combination of all three controls has the highest impact upon the size of the aquatic population. At higher environmental temperatures, the oviposition rate is seen to possess the most prominent influence upon the outcome of the control measures.

摘要

•We consider a delayed model for the control of a mosquito population which is subject to an integrated strategy that includes pesticide release, the use of mechanical controls and the use of the sterile insect technique (SIT).•The existence of positive equilibria is characterized in terms of two biologically relevant threshold quantities.•A nonstandard finite difference (NSFD) scheme is used to approximate the continuous model.•It is observed that a combination of all three controls has the highest impact upon the size of the aquatic population. At higher environmental temperatures, the oviposition rate is seen to possess the most prominent influence upon the outcome of the control measures.

论文关键词：Sterile insect release,Stability of equilibria,Nonstandard finite difference (NFSD) scheme,Delay,Hopf bifurcation,Optimal control

论文评审过程：Received 15 April 2015, Revised 30 August 2015, Accepted 24 October 2015, Available online 12 November 2015, Version of Record 12 November 2015.