title: Global stability of equilibria in a tick-borne disease model.
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.
authors.affiliation: Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA. ais@email.uah.edu
authors.forename: Shangbing
authors.initials: S
authors.lastname: Ai
mesh_terms: D000818:Animals; D003670:Deer / Q000469:parasitology*; D018469:Ehrlichia chaffeensis / Q000254:growth & development*; D016873:Ehrlichiosis / Q000382:microbiology / Q000635:transmission / Q000662:veterinary*; D026863:Ixodidae / Q000382:microbiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics; D017282:Tick-Borne Diseases / Q000453:epidemiology / Q000382:microbiology / Q000635:transmission / Q000662:veterinary*