Dynamic of a pest management system with hibernation of pests and impulsive nonlinear release of natural enemies
Abstract Considering the hibernation of pests and impulsive nonlinear release of natural enemies, we construct a pest management system with hibernation of pests and impulsive nonlinear release of natural enemies. Using Floquet theory and the comparison theorem of impulsive differential equations, w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
| Subjects: | |
| Online Access: | https://doi.org/10.1038/s41598-025-07871-0 |
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| Summary: | Abstract Considering the hibernation of pests and impulsive nonlinear release of natural enemies, we construct a pest management system with hibernation of pests and impulsive nonlinear release of natural enemies. Using Floquet theory and the comparison theorem of impulsive differential equations, we derive the conditions under which the pest-eradication periodic solution is globally asymptotically stable (GAS) and the system is permanent. Furthermore, we obtain a control threshold that is critical for managing pest population. The validity of these conditions is rigorously tested and confirmed through numerical simulations. Our work provides ways to pest management. |
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| ISSN: | 2045-2322 |