Fabio Milner

School of Mathematical and Statistical Sciences
Arizona State University
Director of Mathematics for STEM Education & Professor
Faculty w/Admin Appointment
TEMPE Campus
Mailcode
1804
Director (FSC) & Professor
Faculty w/Admin Appointment
TEMPE Campus
Mailcode
1804
Affiliate Faculty Member; Professor, School of Mathematical and Statistical Sciences
Faculty
TEMPE Campus
Mailcode
1804
Director (FSC) & Professor
Faculty w/Admin Appointment
TEMPE Campus
Mailcode
1804

Biography

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 are studying the long-term population effect that chickenpox vaccination in childhood may have many decades later in increased incidence of the shingles by a combination of repeated exposure to the Varicella zoster virus and decreased immune response. 

Education

Ph.D. University of Chicago 1983

Research Interests

mathematical biology, mathematics education, numerical analysis, applied mathematics, partial differential equations, dynamical systems

Publications

  • 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

Courses

Summer 2018
Course NumberCourse Title
MAT 343Applied Linear Algebra
APM 792Research
Spring 2018
Course NumberCourse Title
APM 792Research
APM 799Dissertation
Fall 2017
Course NumberCourse Title
APM 533Mathematical Population Biolog
APM 799Dissertation
Summer 2017
Course NumberCourse Title
MAT 343Applied Linear Algebra
APM 792Research
Spring 2017
Course NumberCourse Title
APM 792Research
APM 799Dissertation
Fall 2016
Course NumberCourse Title
APM 799Dissertation
Summer 2016
Course NumberCourse Title
MAT 343Applied Linear Algebra
APM 792Research
Spring 2016
Course NumberCourse Title
MAT 343Applied Linear Algebra
MAT 421Applied Computational Methods
APM 792Research
APM 799Dissertation
Fall 2015
Course NumberCourse Title
APM 799Dissertation
Summer 2015
Course NumberCourse Title
MAT 343Applied Linear Algebra
APM 792Research
Spring 2015
Course NumberCourse Title
MAT 271Calculus w/Analytic Geomtry II
MAT 343Applied Linear Algebra
APM 792Research
APM 799Dissertation
Fall 2014
Course NumberCourse Title
MAT 493Honors Thesis
APM 799Dissertation
Summer 2014
Course NumberCourse Title
MAT 342Linear Algebra
APM 792Research
APM 799Dissertation
Spring 2014
Course NumberCourse Title
MAT 294Special Topics
APM 792Research
APM 799Dissertation
Fall 2013
Course NumberCourse Title
MAT 275Modern Differential Equations
MAT 493Honors Thesis
APM 799Dissertation

Service

  • Mathematical Population Studies Journal, Editorial Board Member (2012 - 2017)
  • Math Alliance, Mentor (2012 - 2017)
  • Mathematical Modeling of Natural Phenomena Journal, Editorial Board Member for Ecology and Epidemiology (2009 - 2017)
  • Girl Scouts of America, STEM advisory Board Member (2012 - 2017)
  • Committee on Academic Freedom and Tenure (CAFT), member (2013 - 2016)
  • Mathematical Population Studies Journal, Advisory Board Member (2011 - 2015)
  • Office of the Provost, Team leader for the design and implementation of the adaptive mathematics placement test (2014 - 2015)
  • Committee on Academic Freedom and Tenure (CAFT), member (2013 - 2015)
  • PARCC, ASU mathematics represenrtaitve (2011 - 2015)
  • Tolleson Union High School District, Professional Development (2014 - 2014)
  • AMS, Guest Member of the Committee on Science Policy (2014 - 2014)
  • ASEC (Arizona Science Education Collaborative), Advisory Board Member (2011 - 2014)
  • MBI, ASU representative (2009 - 2014)
  • Tolleson School District, Professional Development (2013 - 2014)
  • ACETS, equivalence evaluator (2008 - 2014)
  • MLFTC, Chair of Mathematics Consortium for Teaching Foundations Project (2010 - 2014)
  • PARCC, ASU mathematics represenrtaitve (2011 - 2014)
  • ASEC Executive Committee, Member of the Executive Committee of Arizona Science Education Collaborative (2012 - 2014)
  • Arizona Science Center: Imagining Engineering, Speaker (2013 - 2013)
  • SACNAS, Mentor & Judge (2010 - 2013)
  • MLFTC Advisory Board, Member (2011 - 2013)
  • MBI, ASU representative (2009 - 2013)
  • Steering Committee of CMPD, Organizing Committee Member (2012 - 2013)
  • Joint International Meeting of the AMS and the Romanian Mathematical Society, Session Organizer (2012 - 2013)
  • SMB, Organizing Committee (2011 - 2013)
  • SMB 2013 Annual Meeting, Organization Committee (2011 - 2013)
  • Girl Scouts of America, STEM advisory Board Member (2012 - 2013)
  • MLFTC, Chair of Mathematics Consortium for Teaching Foundations Project (2010 - 2013)
  • Arizona Department of Education, Leader of Committee that developed the Secondary Education Concentration for our BS degree (2011 - 2013)
  • Mathematics Journal, Associate Editor (2012 - 2012)
  • Office of the Provost, Developer of Mathematics Placement Test (2012 - 2012)
  • Mathematical Population Studies Journal, Advisory Board Member (2011 - 2012)
  • SACNAS, Mentor & Judge (2010 - 2012)
  • U. of Kentucky/Florida St. University, Advisory Board Meeting on HS Geometry (2008 - 2012)
  • MLFTC Advisory Board, Member (2011 - 2012)
  • Achieve, Inc., Consultant (2012 - 2012)
  • Peoria School District, Outreach (2012 - 2012)
  • University Public Schools Phoenix / Hiring Committe for the ASU Preparatory Academy, member (2011 - 2012)
  • Peoria School District, Outreach (2011 - 2012)
  • ASU / Obama scholars, mentor (2011 - 2012)
  • National Board of Professional Teaching Standards, Early Adolescence and Adolescence and Young Adulthood Mathematics Committee Member (2008 - 2012)
  • PARCC, ASU mathematics represenrtaitve (2011 - 2012)
  • Mathematical Innovative Methods and Models of Biosciences Workshop (MIMMO-BIO 2011), Scientific Committee and Organization Committee (2011 - 2011)
  • Office of the Provost / ASU Online / Math General Ed Redesign, member/designer (2010 - 2011)
  • University Public Schools Phoenix / Committe for the Creation of a University High School, member (2010 - 2011)
  • MBI, ASU representative (2009 - 2011)
  • Education Development Center, Advisory Board for Transitions to Algebra Project (2010 - 2011)
  • Achieve, Inc., Consultant (2010 - 2011)
  • ASU / Obama scholars, mentor (2010 - 2011)
  • MLFTC, Chair of the Committee on Learning Math (2009 - 2011)
  • National Board of Professional Teaching Standards, Mathematics Committee Member (2008 - 2011)
  • MBI, ASU representative (2009 - 2010)
  • Achieve, Inc., Consultant (2002 - 2010)
  • Monte Vista Elementary School, Classroom Aide (2009 - 2010)
  • Steering Committee for Math BAE redesign., Chair (2009 - 2010)
  • FYM, Director (2009 - 2009)
  • SoMSS Graduate Program, Advisor/Recruiter (2009 - 2009)
  • Graduate Committee, member (2008 - 2009)
  • Achieve, Inc., Consultant (2002 - 2009)
  • Cumberland Elementary School, Mathematics Pentathlon Coach (2006 - 2008)
  • Indiana Department of Education, consultant (2008 - 2008)