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Global stability of equilibria in a tick-borne disease model

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  • In this short note we establish global stability results for a four-dimensional nonlinear system that was developed in modeling a tick-borne disease by H.D. Gaff and L.J. Gross (Bull. Math. Biol., 69 (2007), 265--288) where local stability results were obtained. These results provide the parameter ranges for controlling long-term population and disease dynamics.
    Mathematics Subject Classification: 34C60, 34D23, 92D30.

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