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Milner, Fabio Augusto


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Professor
Doctor of physico-mathematical sciences (1983)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: https://math.asu.edu/~milner
Keywords: finite element method, population dynamics, epidemiology, immunology, degenerate parabolic equations. numerical analysis; mathematical biology; differential equations; dynamical systems; mathematics education

Subject:

Numerical Analysis, Mathematical Biology, Dynamical Systems, Partial Differential Equations, Mathematics Education, Applied Mathematics.

   
Main publications:
  1. B.E. Ainseba, F.A. Milner and D. Picart, “Optimal control problem on insect pest populations”, Appl. Math. Letters, 24:7 (2011), 1160–1164
  2. F.A. Milner and R. Zhao, “A new mathematical model of syphilis”, Math. Model. Nat. Phenom., 5:6 (2010), 96–108
  3. 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”, J. Math. Anal. & Appl., 361 (2010), 150–160
  4. D. Gerberry and F.A. Milner, “An SEIQR model for childhood diseases”, J. Math. Biol., 59:4 (2009), 535–561
  5. F.A. Milner and L. Sega, “Integrating immunological and epidemiological models”, 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, eds. R.S. Anderssen, R.D. Braddock and L.T.H. Newham, Modelling and Simulation Society of Australia and New Zealand and International Association for Mathematics and Computers in Simulation, 2009, 685–690 http://www.mssanz.org.au/modsim09/B4/milner.pdf
  6. Milner, F.A. and Pugliese, A., “Structured population models with diffusion in the structure space”, Journal of Mathematical Biology, 2018, to appear
  7. Pugliese, A., Velasco-Hernandez, J.X., Gumel, A.B. and Milner, F.A., “Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: a theoretical analysis”, Mathematical Biosciences and Engineering, 15:2 (2018), 125-140
  8. M. Iannelli and F.A. Milner, Age-Structured Populations: An Introduction to the Mathematical Models and Methods, Lecture Notes on Mathematical Modelling in the Life Sciences, Springer, Springer Netherlands, 2017
  9. D. Askey, R. Blair, D. Briars, P. Brookins, E. Carman, J. Davis, S. Eddins, B. Findell, L. Gray, S. Hull, L. Kanieki, B. Libby, G. Martin, S. Matt, B. McCallum, J. Milgram, F.A. Milner, K. Mullen, R. Peck, M. Saxby, L. Slover, D. Sovde, S. Sweeney, V. Williams, Common Core State Standards for Mathematics Appendix A: Designing High School Mathematics Courses Based on the Common Core State Standards, Achieve, Inc., 2010

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