Modeling and Analysis of Epidemic Spread in Dual-City Scenarios

This research paper presents the development of two models, the SIR (Susceptible, Infectious, Recovered) and SEIAR (Susceptible, Exposed, Infectious, Asymptomatic, Recovered) models, tailored specifically for a two-city societal context. These models offer a higher level of realism in capturing natural behaviors and have demonstrated effectiveness in understanding and controlling disease transmission dynamics. The positivity of the solutions for both models is investigated, and the basic reproduction number $R_{0}$ is determined as the threshold criterion for both models.