A mathematical model of Chagas disease dynamics in the Gran Chaco region
Chagas disease is a vector-borne parasitic disease that infects mammals, including humans, through much of Latin America. This work presents a mathematical model for the dynamics of domestic transmission of Chagas disease in the Gran Chaco region. The model is in the form of coupled nonlinear differential equations. The equations model the number of domestic vectors, the number of infected domestic vectors, the number of peridomestic vectors, the number of infected peridomestic vectors, the number of susceptible humans, the number of infected humans, the number of infected domestic mammals, and the number of infected peridomestic mammals. The main interest of this work lies in its study of the dynamics of the disease in the Gran Chaco region as well as control mechanisms for the disease, such as insecticide spraying and bed netting for humans. Along with a new term for vector biting, another novel aspect of the model is that it considers peridomestic populations.
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