Mathematical, Computational & Modeling Sciences Center Arizona State University P.O. Box 873901
Tempe, AZ 85287-3901
Mail code: 1804
Campus: Tempe
Long Bio
Fabio Milner studies structured population models, including demography, epidemics, ecology, and tumor growth. Populations are usually structured by age (demographic and/or age-of-disease), and may also be structured by sex, size, or other relevant variables. The team studies theoretical properties of the models, such as existence, uniqueness, preservation of non-negativity, and asymptotic behavior, as well as real-life applications.
Professor Milner and his collaborators are also developing a family of epidemiological models structured by immunological variables in order to describe the multi-scale problem of disease propagation at the individual level (“small scale”) and at the population level (“large scale”) in a single model. They also study treatment of acute myeloid leukemia with nutlins and their impact on blast proliferation.
Delphine Picart and Fabio Milner. Optimal control in a multistage physiologically structured population. Applied Mathematics and Computation (2014).
Fabio Milner and Kai Yang. The logistic, age-structured, two-sex population model applied to USA demography. Mathematical Population Studies (2014).
Mac Hyman, Fabio Milner and Joan Saldana. Epidemics models on networks. Mathematical podeling of Natural Phenomena (2014).
. Epidemics models on networks. (2014).
Fabio Milner. Editorial. Journal of Biological Dynamics (2013).
Oscar Angulo Torga, Fabio Augusto Milner and Laurentiu Mircea Sega. IMMUNOLOGICAL MODELS OF EPIDEMICS. MACI (Matemática Aplicada, Computacional e Industrial) (2013).
. Editorial: The meeting MIMMO-BIO. (2013).
David J. Gerberry and Fabio A. Milner. Could changes in national tuberculosis vaccination policies be ill-informed?. Mathematical Modeling of Natural Phenomena (2012).
O. Angulo, J. C. López-Marcos, M. A. López-Marcos and F. A. Milner. A Numerical Method for Nonlinear Age-Structured Population Models with Finite Maximum Age. Journal of Mathematical Analysis and Applications (2010).
. Ecology (Part 2). (2010).
Daniel Maxin and Fabio Milner. The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality. Journal of Theoretical Biology (2009).
David J. Gerberry and Fabio A. Milner. An SEIQR model for childhood diseases. Journal of Mathematical Biology (2009).
Fabio Milner and Kai Yang. The Logistic, Two-Sex, Age-Structured Population Model. Journal of Biological Dynamics (2009).
Mimmo Iannelli, Tanya Kostova and Fabio Milner. A fourth-order method for numerical integration of age- and size-structured population models. Numerical Methods for Partial Differential Equations (2009).
Fabio A. Milner and Laurentiu M. Sega. Integrating immunological and epidemiological models. Modelling and Simulation Society of Australia and New Zealand and International Association for Mathematics and Computers in Simulation (2009).
. Mathematics in Biointeractions. (2009).
Fabio Augusto Milner and Ruijun Zhao. A Deterministic Model of Schistosomiasis with Spatial Structure. Mathematical Biosciences and Engineering (2008).
Fabio Milner and Ruijun Zhao. A Mathematical Model of Schistosoma mansoni in Biomphalaria glabrata with Control Strategies. Bulletin of Mathematical Biology (2008).
Fabio Milner and Ruijun Zhao. Analysis of an S-I-R model with directed spatial diffusion. Mathematical Population Studies (2008).
Research Activity
Carlson,Marilyn P*, Boggess,Albert, Gardner,Carl L, Jackiewicz,Zdzislaw, Milner,Fabio Augusto, Roh,Kyeong Hah, Saldanha,Luis, Thompson,Patrick W, Van De Sande,Carla. Pathways to Preparing Future Mathematics Faculty to Transform Undergraduate Mathematics Teaching and Learning. NSF-EHR-DUE(9/1/2013 - 8/31/2018).
Milner,Fabio Augusto*, Jackiewicz,Zdzislaw. Recruitment and Support of Highly Qualified American Students in Mathematics Doctoral Programs at ASU. ED(8/16/2012 - 8/15/2015).
Carlson,Marilyn P*, Milner,Fabio Augusto. Pathways to Calculus: Disseminating and Scaling a Professional Development Model for Algebra Through Precalculus Teaching and Learning. NSF-EHR(9/1/2011 - 8/31/2015).
Milner,Fabio Augusto*, Blakemore,Arthur E, Rody,Joseph William. Redesign of MAT 117, College Algebra. AZ BOARD OF REGENTS(1/4/2010 - 12/31/2010).