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ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM WITH IMPULSIVE PERTURBATIONS AND TIME DELAYS
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 Title & Authors
ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM WITH IMPULSIVE PERTURBATIONS AND TIME DELAYS
Song, Xinyu; Li, Senlin; Li, An;
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 Abstract
In this paper, a stage-structured predator-prey system with impulsive perturbations and time delays is presented to investigate the ecological problem of how a pest population and natural enemy population can coexist. Sufficient conditions are obtained using a discrete dynamical system determined by a stroboscopic map, which guarantee that a `predator-extinction` periodic solution is globally attractive. When the impulsive period is longer than some time threshold or the impulsive harvesting rate is below a control threshold, the system is permanent. Our results provide some reasonable suggestions for pest management.
 Keywords
stage-structured;time delay;impulsive perturbations;globally asymptotic stability;
 Language
English
 Cited by
1.
Bifurcation Behaviors Analysis on a Predator–Prey Model with Nonlinear Diffusion and Delay, Journal of Dynamical and Control Systems, 2014, 20, 1, 105  crossref(new windwow)
2.
Convergences of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes, Advances in Difference Equations, 2016, 2016, 1  crossref(new windwow)
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