Effects of host migration and travel loss on strain competition in a two-patch SIR model
Bo-Sheng Chen1, Chang-Hong Wu2,3
1Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, 300, Taiwan.
Abstract:
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.
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