Abstract
According to biological and chemical control strategy for pest control, we investigate an SI model for pest management, concerning periodic spraying of microbial pesticide and releasing infected pests at different fixed moments. By using Floquet and comparison theorems, we prove that the pest-extinction periodic solution is globally asymptotically stable when the impulsive period T is less than the critical value T max . Otherwise, the system can be permanent. Our results provide reliable tactic basis for the practical pest management.
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This work is supported by the National Natural Science Foundation of China (No. 10471117), the Natural Science Foundation of the Education Department of Henan Province (No. 2010B110021), the Young Backbone Teacher Foundation of Xinyang Normal University.
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Wang, X., Tao, Y. & Song, X. Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Nonlinear Dyn 65, 175–185 (2011). https://doi.org/10.1007/s11071-010-9882-4
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DOI: https://doi.org/10.1007/s11071-010-9882-4