Abstract
Insect growth regulators (IGRs) have been developed as effective control measures against harmful insect pests to disrupt their normal development. This study is to propose a mathematical model to evaluate the cost-effectiveness of IGRs for pest management. The key features of the model include the temperature-dependent growth of insects and realistic impulsive IGRs releasing strategies. The impulsive releases are carefully modeled by counting the number of implements during an insect’s temperature-dependent development duration, which introduces a surviving probability determined by a product of terms corresponding to each release. Dynamical behavior of the model is illustrated through dynamical system analysis and a threshold-type result is established in terms of the net reproduction number. Further numerical simulations are performed to quantitatively evaluate the effectiveness of IGRs to control populations of harmful insect pests. It is interesting to observe that the time-changing environment plays an important role in determining an optimal pest control scheme with appropriate release frequencies and time instants.
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Acknowledgements
We are grateful to the editor and two anonymous referees for their careful reading and valuable comments which led to an improvement of our original manuscript. Yijun Lou was supported in part by the NSF of China (12071393) and the General Research Fund from The Hong Kong Research Grants Council (15304821). Ruiwen Wu was supported in part by the NSF of China (12001237) and Guangdong Basic and Applied Basic Research Foundation (2020A1515110340).
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Lou, Y., Wu, R. Modeling insect growth regulators for pest management. J. Math. Biol. 88, 73 (2024). https://doi.org/10.1007/s00285-024-02091-y
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DOI: https://doi.org/10.1007/s00285-024-02091-y