@thesis{thesis, author={Waji Putri Rizki Amalia}, title ={Analisis Kestabilan dan Kontrol Optimal Model Matematika Penyebaran Penyakit Malaria dengan adanya Relapse dan Reinfection.}, year={2021}, url={https://repository.unair.ac.id/111235/}, abstract={Malaria is a dangerous and life- threatening infectious disease which caused by four species of single cell eukaryotic Plasmodium genus parasites. Parasites can be transmitted to humans through the bites of infected female Anopheles mosquitoes. The spread of malaria can be modeled into a mathematical model with the effects of relapse and reinfection. In this thesis, we will analyze the stability of the equilibrium point of the malaria distribution model in the presence of relapse and reinfection. Furthermore, we will also apply an optimal control strategy such as installing mosquito nets, providing antimalarial treatment, applying hypnozoid remover drugs, and spraying insecticides. Based on the analysis of the model without giving control, there are two equilibrium points, which are the non-endemic and endemic equilibrium points.} }