Abstract:
Chagas disease is a parasitic infection caused by protozoan Trypanosoma cruzi which is transmitted to human by insects
of the subfamily Triatominae, including Rhodnius prolixus. This disease is a major problem in several countries of Latin America.
A mathematical model of Chagas disease with separate vector reservoir and a neighboring human resident is constructed. The basic
reproductive ratio is obtained and stability analysis of the equilibria is shown. We also performed sensitivity populations dynamics
of infected humans and infected insects based on migration rate, carrying capacity, and infection rate parameters. Our findings
showed that the dynamics of the infected human and insect is mostly a ected by carrying capacity insect in the settlement.
