Abstract
Migratory birds play an important role in the transmission of illnesses like West Nile Virus and Salmonella, etc. The long-time dynamic behaviors of a novel class of nonautonomous model for migratory birds with Leslie–Gower Holling-type II functional response and saturation incidence rate on time scales are investigated in this study. Within this scope, certain necessary conditions are found for the persistence and extinction of the illness under very weak assumptions. Furthermore, the model's global attractiveness is examined by creating a Lyapunov function. Additionally, included are numerical simulations ( T = R , Z ) that back up our theoretical research.
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