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Choque-Rivero A. E., Ornelas-Tellez F. Bounded finite-time stabilization of the prey – predator model via Korobov’s controllability function. Izv. Sarat. Univ. Math. Mech. Inform., 2021, vol. 21, iss. 1, pp. 76-87. DOI: 10.18500/1816-9791-2021-21-1-76-87

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Bounded finite-time stabilization of the prey – predator model via Korobov’s controllability function

Choque-Rivero Abdon E., Universidad Michoacana de San Nicolas de Hidalgo
Ornelas-Tellez Fernando, Universidad Michoacana de San Nicolas de Hidalgo

The problem of finite-time stabilization for a Leslie-Gower prey – predator system through a bounded control input is solved. We use Korobov’s controllability function. The trajectory of the resulting motion is ensured for fulfilling a physical restriction that prey and predator cannot achieve negative values. For this purpose, a certain ellipse depending on given data and the equilibrium point of the considered system is constructed. Simulation results show the effectiveness of the proposed control methodology.

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