• Kyungpook Mathematical Journal
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• v.49 no.4
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• pp.763-770
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• 2009

We investigate the dynamical properties of a Holling type I predator-prey model, which harvests both prey and predator and stock predator impulsively. By using the Floquet theory and small amplitude perturbation method we prove that there exists a stable prey-extermination solution when the impulsive period is less than some critical value, which implies that the model could be extinct under some conditions. Moreover, we give a sufficient condition for the permanence of the model.

• Korean journal of applied entomology
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• v.34 no.3
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• pp.234-242
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• 1995

The functional responses of the female Cyrtorhinus lividipennis on brown planthopper (BPH), Nilaparvata lugens, eggs and their predation behavior were investigated at six temperature conditions; 20, 23, 26, 29, 32, and $35^{\circ}C$. C. lividipennis was found to prefer young BPH eggs, especially 3-day-old eggs the most. The functional responses for female C. lividipennis on BPH eggs fitted the Holling's Type-I true predator-prey Rogers' (1972) model at all temperatures tested except $35^{\circ}C$ at which the negative Th value was produced. With the temperature increased up to 32$^{\circ}C$, the instantaneous attacking rate(a) increased from 0.1923 at $20^{\circ}C$ to 0.5085 at $32^{\circ}C$, while the handling time (Th) was gradually decreased as low as 0.0151 at $32^{\circ}C$. C. lividipenis preferred the BPH eggs laid on the upper part of rice stem when the BPH egg density was high, but there was no significant difference in the preference when the egg density was low. The preference was more obvious in high temperature conditions such as above 29$^{\circ}C$.