Research Topics
| Julien ArinoSummaryAffiliation: University of Manitoba Country: Canada Publications
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Detail Information
Publications
Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne diseaseJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
J Biol Dyn 1:320-46. 2007..When reversion is not possible, there can exist an additional equilibrium with only resistant vectors...
Effect of a sharp change of the incidence function on the dynamics of a simple diseaseJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada
J Biol Dyn 4:490-505. 2010..We show that this allows a Hopf bifurcation to occur, with periodic orbits being generated when a locally asymptotically stable equilibrium loses stability...
Pandemic influenza: Modelling and public health perspectivesJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada
Math Biosci Eng 8:1-20. 2011..We outline the general mathematical approach and the complications arising from attempts to apply it for disease outbreak management in a real public health context...
Antiviral resistance during pandemic influenza: implications for stockpiling and drug useJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
BMC Infect Dis 9:8. 2009..The strategic use of drugs is therefore a major public health concern in planning for effective pandemic responses...
A model for influenza with vaccination and antiviral treatmentJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Man, Canada
J Theor Biol 253:118-30. 2008..Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models...
A final size relation for epidemic modelsJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
Math Biosci Eng 4:159-75. 2007..Applications are given to specific models for influenza and SARS...
An alternative formulation for a delayed logistic equationJulien Arino
Department of Mathematics and Statistics, McMaster University, Hamilton, Ont, Canada L8S 4K1
J Theor Biol 241:109-19. 2006....
Quarantine in a multi-species epidemic model with spatial dynamicsJulien Arino
Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K7
Math Biosci 206:46-60. 2007..The influence of various parameters on the spatial and temporal spread of the disease is studied numerically, with particular focus on the role of quarantine in the form of travel restriction...
A metapopulation model for malaria with transmission-blocking partial immunity in hostsJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada
J Math Biol 64:423-48. 2012..Using type reproduction numbers, we identify the reservoirs of infection and evaluate the effect of control measures. Applications to the spread to non-endemic areas and the interaction between rural and urban areas are given...
Simple models for containment of a pandemicJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
J R Soc Interface 3:453-7. 2006..The model is applicable to pre-epidemic vaccination, such as annual vaccination programs in anticipation of an 'ordinary' influenza outbreak with limited drift, and as a combination of treatment both before and during an epidemic...
Evaluation of vaccination strategies during pandemic outbreaksChristopher S Bowman
Institute for Biodiagnostics, National Research Council Canada, 435 Ellice Avenue, Winnipeg, MB, R3B1Y6, Canada christopher
Math Biosci Eng 8:113-22. 2011....
Infectious disease surveillance and modelling across geographic frontiers and scientific specialtiesKamran Khan
Department of Medicine, Division of Infectious Diseases, University of Toronto, Toronto, ON, Canada
Lancet Infect Dis 12:222-30. 2012....
Effect of media-induced social distancing on disease transmission in a two patch settingChengjun Sun
Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada
Math Biosci 230:87-95. 2011....
An in vivo intermediate filament assembly modelStephanie Portet
Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada
Math Biosci Eng 6:117-34. 2009..A high signalling-dependent solubilization of filaments favours the intermediate filament aggregation in particles...
A multi-species epidemic model with spatial dynamicsJulien Arino
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada V8W 3P4
Math Med Biol 22:129-42. 2005..Simulations for the spread of a disease in one species and two patches are presented...
A discrete, size-structured model of phytoplankton growth in the chemostat: introduction of inhomogeneous cell division sizeJulien Arino
INRIA Sophia Antipolis, BP 93, 06902 Sophia Antipolis Cedex, France
J Math Biol 45:313-36. 2002..Then we run numerical simulations of the system, and compare the predictions of the model to data related to phytoplankton growth, whose obtention we discuss. We end with the identification of several parameters of the system...
