Title of article :
Comment on “Existence and stability of periodic solution of a Lotka–Volterra predator–prey model with state dependent impulsive effects” [J. Comput. Appl. Math. 224 (2009) 544–555]
Author/Authors :
Tian، نويسنده , , Yuan and Sun، نويسنده , , Kaibiao and Chen، نويسنده , , Lansun، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
8
From page :
2916
To page :
2923
Abstract :
In this paper, according to integrated pest management principles, a class of Lotka–Volterra predator–prey model with state dependent impulsive effects is presented. In this model, the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. The sufficient conditions for the existence and stability of the positive order-1 periodic solution are given by the Poincaré map and the properties of the LambertW function.
Keywords :
Impulsive differential equations , State-dependent , Lotka–Volterra predator–prey system , Periodic Solution
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
2010
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1555885
Link To Document :
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