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.
Citation: Shangbing Ai. Global stability of equilibria in a tick-borne disease model[J]. Mathematical Biosciences and Engineering, 2007, 4(4): 567-572. doi: 10.3934/mbe.2007.4.567
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Abstract
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.