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Displaying similar documents to “Stage-structured impulsive S I model for pest management.”

The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments

Lin Jun Wang, You Xiang Xie, Qi Cheng Deng (2018)

Kybernetika

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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...

A predator-prey model with state dependent impulsive effects

Changming Ding (2014)

Annales Polonici Mathematici

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We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.