Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying

• Autores: Fahcruddin, Imam, Salmah, Salmah, Gunawan Malau, April
• Formato: artículo
• Fecha de Publicación: 2019
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revista UNITRU - Selecciones Matemáticas
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/2627
• Enlace del recurso: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627
• Nivel de acceso: acceso abierto
• Materia: Malaria epidemic model; Stability; Equilibrium point; Control optimal

In this paper we study the effect of vaccination control, medical treatment and spraying to malaria epidemic model.Firstly the non-control malaria epidemic model is generated and the equilibrium point is determined. Afterward, the stability of equilibrium point in previous model is investigated. The research is continued by deciding the optimal control of malaria epidemic model and minimizing the cost. The results show that the control effect can reduce the subpopulation of infected human and mosquitoes.
In this paper we study the effect of vaccination control, medical treatment and spraying to malaria epidemic model.Firstly the non-control malaria epidemic model is generated and the equilibrium point is determined. Afterward, the stability of equilibrium point in previous model is investigated. The research is continued by deciding the optimal control of malaria epidemic model and minimizing the cost. The results show that the control effect can reduce the subpopulation of infected human and mosquitoes.