On an optimal control problem related to A.D. Bazykin’s general predator-prey model

2011 ◽  
Vol 47 (11) ◽  
pp. 1660-1667
Author(s):  
M. S. Nikol’skii
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Mathematical analysis of an optimal control problem for the predator‐prey model with disease in prey

2020 ◽  
Vol 41 (5) ◽  
pp. 1495-1509
Author(s):  
Puthur Thangaraj Sowndarrajan ◽  
Nemat Nyamoradi ◽  
Lingeshwaran Shangerganesh ◽  
Jeyaraj Manimaran
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Mathematical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Disease In Prey

Optimal control of a diffusive eco-epidemiological predator–prey model

2020 ◽  
Vol 13 (07) ◽  
pp. 2050065
Author(s):  
Xuebing Zhang ◽  
Guanglan Wang ◽  
Honglan Zhu
Keyword(s):  
Optimal Control ◽  
Semigroup Theory ◽  
Prey Population ◽  
Optimal Controls ◽  
Controlled System ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
The Cost ◽  
Infected Prey

In this study, we investigate the optimal control problem for a diffusion eco-epidemiological predator–prey model. We applied two controllers to this model. One is the separation control, which separates the uninfected prey from the infected prey population, and the other is used as a treatment control to decrease the mortality caused by the disease. Then, we propose an optimal problem to minimize the infected prey population at the final time and the cost cause by the controls. To do this, by the operator semigroup theory we prove the existence of the solution to the controlled system. Furthermore, we prove the existence of the optimal controls and obtain the first-order necessary optimality condition for the optimal controls. Finally, some numerical simulations are carried out to support the theoretical results.

Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator–prey model

2020 ◽  
Vol 554 ◽  
pp. 124136 ◽  
Author(s):  
Chengdai Huang ◽  
Heng Liu ◽  
Xiaoping Chen ◽  
Minsong Zhang ◽  
Ling Ding ◽  
...  
Keyword(s):  
Optimal Control ◽  
Fractional Order ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Reduced Model ◽  
Iron Core ◽  
Power Sources ◽  
Real Power

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.

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