Modelling and sensitivity analysis to control dengue through inclusion of genetically modified hybrid mosquitoes

Dengue fever, an ancient yet persistent global health threat transmitted by mosquitoes, remains difficult to control. Recent advances propose genetically modified hybrid mosquitoes as a novel intervention. This study focuses on two primary control strategies: the Sterile Insect Technique (SIT) and genetic sterilization. SIT involves releasing sterile male mosquitoes to reduce populations through unsuccessful mating, while genetic sterilization targets mosquito reproduction or virus transmission capabilities. In our proposed model, modified mosquitoes are included in the susceptible vector compartment, denoted as ${\mho_m}$℧m. Diagnosis and treatment are modeled with parameters ${d_1}$d1 and ${d_2}$d2. Field and laboratory studies suggest these methods effectively reduce mosquito populations and dengue incidence. A mathematical model is developed to study this strategy’s impact, incorporating the basic reproduction number ${R_0}$R0 and equilibrium analysis. Numerical methods are used to assess system stability and compute sensitivity indices ${\cal W}_\xi ^{\cal H}$WξH, ultimately demonstrating the potential for effective dengue control.