Lewis Research Group

Publications

Lewis, MA, Krkosek, M, and Wonham, MJ. (2010 in press). Dynamics of emerging wildlife disease. In Mathematical Biology, ed. S Sivaloganathan. American Mathematical Society.

Pineda-Krch, M., O’Brien, J., Thunes, C., and Carpenter, T.E. 2010. Potential impact of an introduction of foot-and-mouth disease from wild pigs into commercial livestock premises in California. American Journal of Veterinary Research 71:82-88.

Wang, H. and MA Lewis, MA. (2010). Evaluation for "A Model for Plant Invasions: the Role of Distributed Generation Times, Mendez et al., Bulletin of Mathematical Biology, Vol 71". Faculty of 1000 Biology.

Wang, H and Lewis, MA. (2010). Evaluation for "Stability and Bifurcations in an Epidemic Model with Varying Immunity Period,” Bulletin of Mathematical Biology, Vol 72. Faculty of 1000 Biology.

de Camino-beck, T. and Lewis, MA. (2009). Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile. Ecological Modelling 220.

Hilker, FM, Langlais M, Malchow H (2009). The Allee effect and infectious diseases: Extinction, multistability, and the (dis-)appearance of oscillations. American Naturalist, 173, 72-88.

de Camino-Beck, T., Lewis, M.A., and van den Driessche, P. (2009). Graph-theoretic method for the basic reproduction number in continuous time epidemiological models. Journal of Mathematical Biology, DOI 10.1007/s00285-008-0240-9.

Hilker, F.M., Langlais, M. & Malchow, H. (2009). The Allee effect and infectious diseases: Extinction, multistability, and the (dis-)appearance of oscillations. American Naturalist, 173: 72-88.

Hilker, FM, Schmitz K (2008) Disease-induced stabilization of predator-prey oscillations. Journal of Theoretical Biology. 255:299-306.

Wonham, M.J. & Lewis, M.A. (2008). A comparative analysis of West Nile virus models. In F Brauer, P van Den Driessche & J Wu (Eds). Mathematical Epidemiology: Lecture Notes in Mathematics.; 321-344. Springer-Verlag.

Gomes, M.G.M., Rodrigues, P., Hilker, F.M., Mantilla-Beniers, N.B., Muehlen, M., Paulo, A.C.A.S., & Medley, G.F. (2007). Implications of partial immunity on the prospects for tuberculosis control by post-exposure interventions. Jrnl. of Theoretical Biology 248, 608-617.

Hilker, F.M. & Langlais, M., Petrovskii, S.V., Malchow, H. (2007). A diffusive SI model with Allee effect and application to FIV. Mathematical Biosciences 206, 61-80.

Affiliated Researchers

F. Hilker, Bath
T. de Camino Beck, Costa Rica
M. Wonham, Independent Researcher, BC
P. Van den Driessche, Victoria
M.G.M. Gomes, Instit. Gulbenkian de Ciência, and Centro de Matemática e Aplicações Fundamentais
P. Rodrigues, Universidade Nova de Lisboa Portugal;
N.B. Mantilla, Beniers, Instituto Gulbenkian de Ciência, Portugal;
M. Muehlen, Instituto Gulbenkian de Ciência, Portugal;
A.C.A.S. Paulo, Instituto Gulbenkian de Ciência, Portugal;
G.F. Medley, Ecology and Epidemiology Group, University of Warwick;
M. Langlais, Université Victor Segalen Bordeaux 2, Bordeaux Cedex, France;
H. Malchow, Instit. of Environ. Systems Research, Univ of Osnabrück, Germany;
K. Schmitz, Univ. of Osnabrück, Germany, & Instit. Gulbenkian de Ciência, Portugal;
S.V. Petrovskii, Russian Academy of Science, Moscow, Russia

Infectious Disease Modelling (IDM)