Optimization and Systems Theory Seminar
Monday, September 15, 2003, 14.00-15.00, Room 3721, Lindstedtsv. 25
Professor Per-Olof Gutman
Faculty of Civil and Environmental Engineering
Division of Environmental, Water, and Agricultural Engineering
Technion Israel Institute of Technology
Haifa, Israel
E-mail: peo@techunix.technion.ac.il
The application of dynamic optimization to mathematical models of
ontogenetic biological growth has been the subject of numerous
researches (see e. g. Cohen, 1971). Kozlowsky and Ziolko, 1988, Ziolko
and Kozlowski, 1995, presented a model with gradual transition from
vegetative to reproductive growth. The central point of their model is
a mixed statecontrol constraint on the rate of reproductive growth,
which leads to a mixed vegetativereproductive growth period. Their
model is modified here in order to take into account the difference of
photosynthesis use efficiency when energy is accumulated in the
vegetative and in the reproductive organs of plants, respectively. The
strict mathematical solution of the optimal control problem is
presented, the numerical example from Kozlowsky and Ziolko, 1988 is
solved, and the results are compared. The influence of the length of
the season and the relative photosynthesis use efficiency, as well as
of the potential sink demand of the reproductive organs, on the
location and duration of the mixed vegetative reproduction period of
growth is investigated numerically.
This is joint work with Ilya Ioslovich.
Calendar of seminars
Last update: September 1, 2003 by
Anders Forsgren,
anders.forsgren@math.kth.se.