A Pest Management Model with Stage Structure and Impulsive State Feedback Control
A pest management model with stage structure and impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the sta...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/617379 |
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| Summary: | A pest management model with stage structure
and impulsive state feedback control is investigated. We get the
sufficient condition for the existence of the order-1 periodic
solution by differential equation geometry theory and successor
function. Further, we obtain a new judgement method for the
stability of the order-1 periodic solution of the semicontinuous
systems by referencing the stability analysis for limit cycles of
continuous systems, which is different from the previous method of
analog of Poincarè criterion. Finally, we analyze numerically
the theoretical results obtained. |
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| ISSN: | 1026-0226 1607-887X |