A pest control model with state-dependent impulses
2015 ◽
Vol 08
(01)
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pp. 1550009
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Keyword(s):
In this paper, a pest control model with state-dependent impulses is firstly established, which relies on releasing of natural enemies, together with spraying pesticides. By using the successor function of differential equation geometry rules, the existence of order one periodic solution is discussed. According to the Analogue of Poincaré's Criterion, the orbitally asymptotic stability of the order one periodic solution is obtained. Furthermore, we investigated the global attractor of the system. From a biological point of view, our results indicate that: (1) the pest population can be controlled below some threshold; (2) compared to single measure, it is more efficient to take two measures for reducing the level of the pests.
2009 ◽
Vol 2009
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pp. 1-15
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Keyword(s):
2012 ◽
Vol 2012
◽
pp. 1-21
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2013 ◽
Vol 2013
◽
pp. 1-12
Keyword(s):
2018 ◽
Vol 85
(3-4)
◽
pp. 265
Keyword(s):