Geodesic
The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments
Kybernetika, Tome 54 (2018) no. 3, pp. 522-541.

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In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution are analyzed by bifurcation theory of impulsive differential equation. Finally, the analytical results presented in the work are validated by numerical simulation figures for this proposed model.
DOI : 10.14736/kyb-2018-3-0522
Classification : 34D23, 92D30
Keywords: impulsive differential equation; bifurcation theory; stability; impulsive control; persistence and extinction 
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     title = {The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments},
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Wang, Lin Jun; Xie, You Xiang; Deng, Qi Cheng. The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments. Kybernetika, Tome 54 (2018) no. 3, pp. 522-541. doi : 10.14736/kyb-2018-3-0522. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0522/

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