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Peer-reviewedCC BY 4.0Mathematics

Finite-Time Stability Analyses for a Class of Reaction–Diffusion Mosquito Suppression Models with Impulsive Control and Delay

  • Zhengchang Jin1
  • Wei Wang2
  • Lin Zhang3
  • Wenjuan Guo1,4
4 affiliations
  1. 1College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
  2. 2School of Low-Altitude Equipment and Intelligent Control, Guangzhou Maritime University, Guangzhou 510725, China
  3. 3School of Arts and Sciences, Guangzhou Maritime University, Guangzhou 510725, China
  4. 4Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, China
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Abstract

The release of Wolbachia-infected mosquitoes is an environmentally friendly and effective strategy for suppressing wild mosquito populations. This paper investigates the finite-time stability of a class of impulsive reaction–diffusion mosquito population suppression models. Taking into account impulse intensities, diffusion coefficients, and birth rates, we establish sufficient conditions for the finite-time stability of both delay-free and delayed systems and provide rigorous theoretical analyses. Numerical simulations validate the theoretical results and demonstrate the effectiveness of impulsive control in achieving finite-time stability for both systems.

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Cite

BibTeXRIS
BibTeX
@article{jin2026finitetime,
  title = {{Finite-Time Stability Analyses for a Class of Reaction–Diffusion Mosquito Suppression Models with Impulsive Control and Delay}},
  author = {Zhengchang Jin and Wei Wang and Lin Zhang and Wenjuan Guo},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14213861},
  url = {https://www.mdpi.com/2227-7390/14/21/3861},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Finite-Time Stability Analyses for a Class of Reaction–Diffusion Mosquito Suppression Models with Impulsive Control and Delay
AU  - Zhengchang Jin
AU  - Wei Wang
AU  - Lin Zhang
AU  - Wenjuan Guo
PY  - 2026
DA  - 2026/10/22
JO  - Mathematics
DO  - 10.3390/math14213861
UR  - https://www.mdpi.com/2227-7390/14/21/3861
AB  - The release of Wolbachia-infected mosquitoes is an environmentally friendly and effective strategy for suppressing wild mosquito populations. This paper investigates the finite-time stability of a class of impulsive reaction–diffusion mosquito population suppression models. Taking into account impulse intensities, diffusion coefficients, and birth rates, we establish sufficient conditions for the finite-time stability of both delay-free and delayed systems and provide rigorous theoretical analyses. Numerical simulations validate the theoretical results and demonstrate the effectiveness of impulsive control in achieving finite-time stability for both systems.
SN  - 2227-7390
ER  -