Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences - Mathematical Concepts and Methods in Modern Biology - page 138

[47] Gaff H, Gross LJ. Analysis of a tick-borne diseasemodel with varying population
sizes in various habitats. Bull Math Biol 2007;69:265-88.
[48] Gaff H, Schaefer E. Metapopulation models in tick-borne disease transmission
modelling. In: Michael E, Spear R, (Eds.), Modelling parasitic disease transmis-
sion: biology to control. Austin, TX, USA: Landes Bioscience/Eurekah; 2008.
[49] Gaff LJ. Gross, Schaefer E. Results from a mathematical model for human
monocytic ehrlichiosis. Clin Microbiol Infect 2008;15:1-2.
[50] Awerbuch TE, Sandberg S. Trends and oscillations in tick population dynamics.
J Theor Biol 1995;175:511-6.
[51] Haile DG, Mount GA. Computer simulation of population dynamics of the
lone star tick, Amblyomma americanum (Acari: Ixodidae). J Med Entomol
1987;24:356-69.
[52] Mount GA, Haile DG. Computer simulation of population dynamics of the
American dog tick (Acari: Ixodidae). J Med Entomol 1989;26:60-76.
[53] Mount GA, Haile DG, Davey RB, Cooksey LM. Computer simulation of
Boophilus cattle tick (Acari: Ixodidae) population dynamics. J Med Entomol
1991;28:223-40.
[54] Mount GA, Haile DG, Barnard DR, Daniels E. New version of LSTSIM for
computer simulation of Amblyomma americanum (Acari: Ixodidae) population
dynamics. J Med Entomol 1993;30:843-57.
[55] Mount GA, Haile DG, Daniels E. Simulation of blacklegged tick (Acari: Ixo-
didae) population dynamics and transmission of Borrelia burgdorferi .JMed
Entomol 1997;34:461-84.
[56] Mount GA, Haile DG, Daniels E. Simulation of management strategies for the
Blacklegged tick (Acari: Ixodidae) and the Lyme disease spirochete, Borrelia
burgdorferi . J Med Entomol 1997;90:672-83.
[57] Sandberg S, Awerbuch TE. SpielmanA. Acomprehensivemultiplematrixmodel
representing the life cycle of the tick that transmits the age of Lyme disease.
J Theor Biol 1992;157:203-20.
[58] Bunnell JE, Price SD, Das A, Shields TM, Glass GE. Geographic information
systems and spatial analysis of adult ixodes scapularis (Acari: Ixodidae) in the
middle atlantic region of the U.S.A. J Med Entomol 2003;40:570-6.
[59] DasA, Lele SR, GlassGE, Shields T, Petz J.Modelling a discrete spatial response
using generalized linear mixed models: application to Lyme disease vectors. Int
J Geogr Inf Sci 2002;16:151-66.
[60] Randolph S. Epidemiological uses of a population model for the tick Rhipi-
cephalus appendiculatus. Trop Med Int Health 1999;4:A34-42.
[61] Ding W. Optimal control on hybrid ODE systems with application to a tick
disease model. Math Biosci Eng 2007;4:633-59.
[62] Ghosh M, Pugliese A. Seasonal population dynamics of ticks, and its influence
on infection transmission: a semi-discrete approach. Bull Math Biol 2004;66:
1659-84.
[63] Grimm V, Berger U, Bastiansen F, et al. A standard protocol for describing
individual-based and agent-based models. Ecol Model 2006;198:115-26.