Research

interests

Random Dynamical Systems (with Inputs and Outputs)

feedback interconnections, (pullback) asymptotic behavior, monotonicity, input-to-state stability

Reaction Networks

model simplification, monotonicity, persistence

collaborators

Elisenda Feliu, Department of Mathematical Sciences, University of Copenhagen

(reaction network theory)

Yuan Wang, Department of Mathematical Sciences, Florida Atlantic University

(input to state stability theory for RDSIO)

Carsten Wiuf, Department of Mathematical Sciences, University of Copenhagen

(reaction network theory)

ph.d thesis advisor

Eduardo D. Sontag, Department of Mathematics, Rutgers University

(RDSIO; applications to biology)

publications and preprints

MMF, Carsten Wiuf, and Elisenda Feliu. Intermediates and generic convergence to equilibria. Submitted, 2016. [arXiv]

MMF, Elisenda Feliu, and Carsten Wiuf. Intermediates, catalysts, persistence, and boundary steady states, J. Math. Biol. (2016). [PDF] [arXiv]

MMF and Eduardo D. Sontag. A Small-Gain Theorem for Random Dynamical Systems with Inputs and Outputs. SIAM J. Control Optim., 53(4):2657-2695, 2015. [PDF]

MMF. A class of input/output random systems: Monotonicity and a small-gain theorem. ProQuest LLC, Ann Arbor, MI, 2014. Thesis (Ph.D.)-Rutgers The State University of New Jersey - New Brunswick. [PDF]

MMF and Eduardo D. Sontag. Random dynamical systems with inputs. In Nonautonomous dynamical systems in the life sciences, volume 2102 of Lecture Notes in Math., pages 41-87. Springer, Cham, 2013. [PDF]

MMF and Eduardo D. Sontag. A class of random control systems: Monotonicity and the convergent-input convergent-state property. In Proc. American Control Conference, pages 4564-4569, 2013. [PDF]