Effects of host migration and travel loss on strain competition in a two-patch SIR model

This paper investigates how host migration with travel loss affects competition between two pathogen strains in animal populations using a two-patch SIR model. We establish sufficient conditions involving migration rates and travel losses that ensure the global asymptotic stability of a single-strain endemic equilibrium or a coexistence equilibrium. Complemented by numerical simulations, our results provide insights into how competitive outcomes are shaped by the interplay among migration asymmetry, travel loss, and epidemiological traits.