Sterile insect technique with accidental releases of sterile females. Impact on mosquito-borne diseases control when viruses are circulating

Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration

“…Here, we consider the issue of migration of mosquitoes from the exterior towards the interior of the domain under treatment, and its negative impact on SIT when this migration is not controlled or mitigated. The present paper extends the results published in [5] to the occurrence of wild mosquitoes migration, as well as the epidemiological analysis provided in [10].…”

“…In order to tackle this important application of SIT, we now consider the implementation of the methods previously exposed to mitigate epidemiological risk. Following [10], we consider more precisely the following SIR-SEI model of dengue transmission, like e.g. in La Réunion island, in the case where only one strain of Dengue is circulating.…”

“…Global asymptotic stability of pM ˚˚, 0q is then straightforward: introducing the change of variable M Ð M `M ˚˚, we have, for all F ą 0 9 F " p1 ´rqρF e ´βpM `F q´βM ˚˚´µ F F ď ´e´βpM`F q ´1¯µ F F ă 0, thanks to (10) again. We deduce that F is decreasing to 0, and thus that M converges to M ˚˚.…”

“…In previous works, we highlighted several issues in SIT that were poorly addressed, like residual fertility (the fact that sterile males are not 100% sterile) [3], or accidental release of sterile females during virus circulation [10], which both have the capacity to drive SIT to failure. Here, we consider the issue of migration of mosquitoes from the exterior towards the interior of the domain under treatment, and its negative impact on SIT when this migration is not controlled or mitigated.…”

“…Using the numerical values borrowed from [10] and recalled in It is important to emphasize that the rates of migration between distinct locations can be very different in practice, according to environmental parameters and the life cycle of the adult mosquitoes [8,9]. Indeed, after mating with males, females are seeking for blood meals before going to rest.…”