We developed an optimal control model to assess the effectivity
of two conflicting mosquito control measures. One of them is
chemical control which kills both natural and sterile mosquitoes;
the other is a biological control consisting in the release of sterile
insects. The dynamical model was formulated in [16].
One of the side effects of the chemical control is that it affects
ecosystem killing another insects, besides the development of
mosquito resistance to it. There is not residual effect and the efficacy
is very low, contrarily to the larvicide which has longer residual
effect and higher efficacy. On the other side, the biological
control is a clean ecological control, but to be effective, a higher
proportion of sterile mosquitoes relative to the natural mosquitoes
should be released [16]. Additionally, the sterile mosquitoes must
be able to find the randomly distributed breeding sites where female
mosquitoes emerged [31].