Acta mathematica scientia,Series B ›› 2026, Vol. 46 ›› Issue (2): 897-919.doi: 10.1007/s10473-025-0219-x

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THRESHOLD ANALYSIS OF IMPULSIVE CONTROL IN A MOSQUITO POPULATION SUPPRESSION MODEL WITH SPARSE STATE FEEDBACK

Shouzong LIU, Yang XU, Mingzhan HUANG*   

  1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
  • Received:2025-03-11 Revised:2025-06-04 Published:2026-05-22
  • Contact: *Mingzhan HUANG, E-mail: huangmingzhan@163.com
  • About author:Shouzong LIU, E-mail: liushouzong@163.com; Yang XU, E-mail: xuy0323@163.com
  • Supported by:
    Liu's research was partially supported by the Scientific and Technological Key Projects of Henan Province (242102110374) and Nanhu Scholars Program for Young Scholars of XYNU. Huang's research was partially supported by the NSFC (12271466) and Natural Science Foundation of Henan Province (252300420346).

Abstract: In this study, a mosquito population suppression model that integrates stage structure is introduced, which serves as the foundation for exploring various strategies for the periodic impulsive release of sterile mosquitoes, including those that either incorporate or disregard population state feedback, as well as a composite control approach. We identify release thresholds under different strategies that ensure the complete eradication of the wild mosquito population. Numerical analyses are conducted to evaluate the performance of these release strategies. Our findings reveal that integrating state feedback mechanisms can effectively prevent the blindness of release behaviors. Key factors such as the release interval, frequency of population assessments, and control intensity significantly influence the reduction of the cumulative release quantity of sterile mosquitoes, the shortening of control duration, and the decrease in effective release events. The influence of these factors on control outcomes across different strategies and scenarios is also examined.

Key words: mosquito population suppression model, periodic impulsive release, sparse state feedback, extinction equilibrium

CLC Number: 

  • 34A37
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