Exploratory research project PN-II-ID-PCE-2012-4-0270
OPTIMAL CONTROL AND STABILIZATION OF NONLINEAR PARABOLIC SYSTEMS WITH STATE CONSTRAINTS. APPLICATIONS IN LIFE SCIENCES AND ECONOMICS
   


        General Information
        Research Team
        Objectives
        Scientific Reports
        Results


 

Results

Publications
Foreign Scientific Cooperations
Other activities


Publications 

  1. L.-I. Anița, S. Anița, V. Arnăutu, Internal null stabilization for some diffusive models of population dynamics, Applied Mathematics and Computation 219(20)(2013), 10231-10244.
  2. S. Anița, Zero-stabilization for some diffusive models with state constraints, Mathematical Modelling of Natural Phenomena 9(4)(2014), 6-19.
  3. S. Anița, J. Casas, C. Suppo, Impulsive spatial control of invading pests by generalist predators, Mathematical Medicine and Biology 31(3)(2014), 284-301.
  4. V. Arnăutu, A.-M. Moșneagu, Optimal control and stabilization for some Fisher-like models, Numerical Functional Analysis and Optimization 36(5)(2015), 567-589.
  5. L.-I. Anița, S. Anița, C. Moroșanu, Optimal strategies to diminish a pest population via bilinear controls, Applied Mathematics Letters 40(2015), 7-12.
  6. S. Anița, V. Capasso, H. Kunze, D. La Torre, Dynamics and optimal control in a spatially structured economic growth model with pollution diffusion and environmental taxation, Applied Mathematics Letters 42(2015), 36-40.
  7. S. Anița, Stabilization of a predator-prey system with nonlocal terms, Mathematical Modelling of Natural Phenomena 40(6)(2015), 6-16.
  8. A.-M. Moșneagu, Optimizing the position of the support of the control for some optimal harvesting problems, Annals of the Academy of Romanian Sceintists, Series on Mathematics and Its Applications 7(1)(2015), 27-40.
  9. S. Anița, V. Capasso, H. Kunze, D. La Torre, Dynamics and control of an integro-differential system of geographical economics, Annals of the Academy of Romanian Sceintists, Series on Mathematics and Its Applications 7(1)(2015), 8-26.
  10. C. Moroșanu, Well posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions, Journal of Fixed Point Theory and Applications, 18(2)(2016), 225-250.
  11. S. Anița, V. Capasso, H. Kunze, D. La Torre, Optimizing environmental taxation for a spatially structured economic growth model including pollution diffusion, Vietnam Journal of Mathematics, (2016), doi: 10.1007/010013-016-0215-x.
  12. L.-I. Anița, S. Anița, Note on some periodic optimal harvesting problems for age-structured population dynamics, Applied Mathematics and Computation, 276(2016), 21-30.
  13. S. Anița, V. Capasso, A.-M. Moșneagu, Regional control in optimal harvesting of population dynamics, Nonlinear Analysis, 147(2016), 191-212.
  14. C. Moroșanu, S. Pavăl, C. Trenchea, Analysis of stability and error estimates for three methods approximating a nonlinear reaction-diffusion equation, Journal of Applied Analysis and Computation, 7(1) (2017), 1-19.
  15. T. Benincasa, L.D. Donado Escobar, C. Moroșanu, Distributed and boundary optimal control of the Allen-Cahn equation with regular potential and dynamic boundary conditions, International Journal of Control, 89(2016), 1523-1532.
  16. V. Capasso, S. Anița, The interplay between models and public health policies: regional control for a class of spatially structured epidemics (think globally, act locally), Mathematical Biosciences and Engineering, accepted.
  17. L.-I. Anița, S. Anița, A.-M. Moșneagu, Approximating the regional control of population dynamics, Applied Mathematics and Computation, submitted.

Foreign Scientific Cooperations  

Research visits

2013

  1. University Francois Rabelais, Tours, France, 31/10/2013 - 16/11/2013

2014

  1. University Francois Rabelais, Tours, France, 30/01/2014 - 17/02/2014
  2. Technical University Wien, Wien, Austria, 31/10/2014 - 09/11/2014
  3. University Ludwig Maximilians, Munchen, Germany, 10/11/2014 - 14/11/2014

2015

  1. Université de Savoie, Chambery, Le-Bourget-Du-Lac, France, 28/09/2015 - 4/10/2015
  2. Universita degli Studi di Milano, Italy, 05/10/2015 - 07/10/2015

2016

  1. Technical University Wien, Wien, Austria, 09/06/2016 - 23/06/2016

Other activities 

  • Partial Differential Equations and Applications, Faculty of Mathematics, "Al. I. Cuza" University of Iaşi, every two weeks meetings.
  • Conferences

    1. S. Anița, Stabilization of some reaction-diffusion systems with state constraints, Technische Universitat, November 5, 2013, Vienna, Austria.
    2. S. Anița, A.-M. Moșneagu, Optimal control problems for some diffusive processes. Geometric properties of the support of the optimal control, 13th Viennese Workshop on Optimal Control and Dynamic Games, May 12-15, 2015, Vienna, Austria.
    3. S. Anița, Internal stabilization for a class of spatial structured epidemic model, The 23rd Conference on Applied and Industrial Mathematics, CAIM 2015, September 17-20, 2015, Suceava, Romania.
    4. C. Moroșanu, Well-posedness for a phase-field transition system endowed with a classical regular potential and a general class of nonlinear and non-homogeneous dynamic boundary conditions, The 23rd Conference on Applied and Industrial Mathematics, CAIM 2015, September 17-20, 2015, Suceava, Romania.
    5. G. Dimitriu, L. Boiculese, Sensitivity study for a SEIT epidemic model, The 5th IEEE International Conference on E-Health and Bioengineering - EHB 2015, Grigore T. Popa University of Medicine and Pharmacy, November 19-21, 2015, Iași, Romania.
    6. S. Anița, Regional control for some spatially structured population, XIIIeme Colloque Franco-Roumain de Mathematiques Appliquees, August 25-29, 2016, Iași, Romania.
    7. C. Moroșanu, Well-posedness and numerical analysis for a nonlinear reaction-diffusion equation, The 24th Conference On Applied and Industrial Mathematics, CAIM 2016, September 15-18, Craiova, Romania.