Temat: Malthusian model - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On population dynamics with campaign on contraception as control strategy
Autorzy:: Ekhosuehi, V. U.
Chete, F. O.
Powiązania:: https://bibliotekanauki.pl/articles/2052396.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: contraception
logistic model
Malthusian model
optimal control model
population
antykoncepcja
model logistyczny
model maltuzjański
model sterowania
populacja
Opis:: This work considers a population divided into two groups according to the adoption of contraception. The campaign in favour of contraception is modelled as a bounded optimal control problem within the framework of the logistic and the Malthusian models of population dynamics. The control is the fraction of non-adopters successfully educated on contraception. The objective is to maximise the number of non-adopters successfully educated on contraception over time. The optimisation problem is solved using the Pontryagin's maximum principle and the parameters of the model are estimated using the method of least squares.
Źródło:: Journal of Mathematics and Applications; 2018, 41; 63-79
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Optimal strategy in chemotherapy for Malthusian model of cancer growth
Autorzy:: Maroński, R.
Powiązania:: https://bibliotekanauki.pl/articles/307239.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:: chemioterapia
model maltuzjański
kontrole okresowe
optimal chemotherapy
Malthusian growth
periodic control
Opis:: Purpose: The problem of optimal strategy in cancer chemotherapy is reconsidered. Two incompatible goals should be completed: the number of cancer cells in the patient’s body should be reduced and the toxic effect of the therapy should be minimized. Such problem may be formulated in optimal control. The control function is the amount of the drug administered in the time unit. Methods: The Malthusian model of cell population growth is employed where the rate of increase of the number of cancer cells is proportional to the number of cells in population and an intrinsic rate that usually is assumed to be constant. The performance index is the amount of the drug cumulated in the patient’s body and it is minimized. A non-standard method of optimal control is used – method of Miele. Results: The optimal solutions are obtained for three cases: constant intrinsic rate, monotonically increasing/decreasing intrinsic rate and for periodic intrinsic rate. The optimal control is ununique for the first case – the result is irrespective of the strategy. Such result has been known earlier. The optimal control is unique for other cases and it is of bang-bang type. Conclusions: The ununique solution for constant intrinsic rate is surprising, therefore a mechanical analogy is given. The optimal strategy is in accordance with clinical experience for decreasing intrinsic rate. The optimal control is a periodic function of time for the intrinsic rate of sin/cos type – the drug should be administered, as its value is relatively high.
Źródło:: Acta of Bioengineering and Biomechanics; 2017, 19, 1; 63-68
1509-409X
2450-6303
Pojawia się w:: Acta of Bioengineering and Biomechanics
Dostawca treści:: Biblioteka Nauki

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