Understanding the effects of individual awareness and vector controls on malaria transmission dynamics using multiple optimal control

Malaria is a vector-borne diseases caused by parasite of genus Plasmodium and transmitted via bite mosquitoes. Although the number malaria cases has been reduced, an outbreak still happens, which causes deaths particularly in children. In this paper, mathematical models absence presence awareness programs vector controls have formulated studied. The qualitative analysis model conducted. A global sensitivity performed to determine most influential parameters on increasing infected individuals reproduction number. An optimal control approach used analyse effects strategies fitted data from Weeluri Health Center, Central Sumba, Indonesia. Qualitative showed that disease-free endemic equilibrium are globally stable. Furthermore, for found be R0=1.1199. Results analyses biting rate, transmission probability mosquitoes human, human mosquitoes, per parameters, indicate importance reducing contact between This suggests take prevention actions hold important role with using Pontryagin maximum principle, we should implemented at higher level need applied entire period obtain reduction minimum costs. Interestingly, programs, it possible reduce when aware willing actions.