INFLOWS:
ΔX ¼ U * X {Kg per Time Period}
Y(t) ¼ Y(t À dt) + (ΔY) * dt
INIT Y ¼ 0 {Kg}
INFLOWS:
ΔY ¼ (1 À U) * X {Kg per Time Period}
T_STAR ¼ 4
U ¼ IF TIME T_STAR THEN 1 ELSE 0 {1/Time Period}
References
1. Cohen D (1971) Maximizing final yield when growth is limited by time or by limited resources.
J Theor Biol 33(2):299–307
2. Roughgarden J (1986) Models of population processes in plants, vol 18, Lectures of mathematics in the life science. American Mathematical Society, Providence, pp 235–267
3. Kamien MI, Schwartz N (1983) Dynamic optimization: the calculus of variations and optimal
control in economics and management. North Holland, Dover Publications, pp 186–192
4. Hannon B (1993) The optimal growth of helianthus annuus. J Theor Biol 165(4):523–531
References
155
ΔX ¼ U * X {Kg per Time Period}
Y(t) ¼ Y(t À dt) + (ΔY) * dt
INIT Y ¼ 0 {Kg}
INFLOWS:
ΔY ¼ (1 À U) * X {Kg per Time Period}
T_STAR ¼ 4
U ¼ IF TIME T_STAR THEN 1 ELSE 0 {1/Time Period}
References
1. Cohen D (1971) Maximizing final yield when growth is limited by time or by limited resources.
J Theor Biol 33(2):299–307
2. Roughgarden J (1986) Models of population processes in plants, vol 18, Lectures of mathematics in the life science. American Mathematical Society, Providence, pp 235–267
3. Kamien MI, Schwartz N (1983) Dynamic optimization: the calculus of variations and optimal
control in economics and management. North Holland, Dover Publications, pp 186–192
4. Hannon B (1993) The optimal growth of helianthus annuus. J Theor Biol 165(4):523–531
References
155