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<p>Releasing sterile mosquitoes to suppress wild mosquito population is a green and efficient method for preventing mosquito-borne diseases. In this article, we build a mosquito population suppression model with Beverton-Holt-type survival probability for offspring, and focus on the case that the release period <i>T</i> is smaller than the sexual lifespan <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\bar{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mrow> <mi>T</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </math></EquationSource> </InlineEquation> of sterile mosquitoes, which is in line with the actual field releasing but has not been discussed in our previous works. Through constructive technique, we obtain that the main model admits three possibilities: (<i>i</i>) no periodic solution, (<i>ii</i>) a unique periodic solution, and (<i>iii</i>) exactly two periodic solutions. In addition, we analyze the stability and attractiveness of each periodic solution. Numerical simulations are provided to validate the theoretical results and to deliver practical insights for release strategy development.</p>

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Periodic solutions in a mosquito suppression model with Beverton-Holt survival probability

  • 期刊论文

  • 发表日期：

    2026年5月4日

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  • Yining Chen,
  • Yufeng Wang,
  • Jianshe Yu,
  • Jia Guo,
  • Linchao Hu

摘要

Releasing sterile mosquitoes to suppress wild mosquito population is a green and efficient method for preventing mosquito-borne diseases. In this article, we build a mosquito population suppression model with Beverton-Holt-type survival probability for offspring, and focus on the case that the release period T is smaller than the sexual lifespan \(\bar{T}\) T ¯ of sterile mosquitoes, which is in line with the actual field releasing but has not been discussed in our previous works. Through constructive technique, we obtain that the main model admits three possibilities: (i) no periodic solution, (ii) a unique periodic solution, and (iii) exactly two periodic solutions. In addition, we analyze the stability and attractiveness of each periodic solution. Numerical simulations are provided to validate the theoretical results and to deliver practical insights for release strategy development.