Geodesic
Bounded finite-time stabilization of the prey -- predator model via Korobov's controllability function
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 21 (2021) no. 1, pp. 76-87

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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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     author = {A. E. Choque-Rivero and F. Ornelas-Tellez},
     title = {Bounded finite-time stabilization of the prey -- predator model via {Korobov's} controllability function},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ISU_2021_21_1_a6/}
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A. E. Choque-Rivero; F. Ornelas-Tellez. Bounded finite-time stabilization of the prey -- predator model via Korobov's controllability function. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 21 (2021) no. 1, pp. 76-87. http://geodesic.mathdoc.fr/item/ISU_2021_21_1_a6/