Finite-Time Contraction Stability and Optimal Control for Mosquito Population Suppression Model
Abstract
:1. Introduction
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- Novel stochastic mosquito population models with different release strategies are established.
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- The finite-time contraction stabilities of a deterministic time delay model and stochastic mosquito population suppression system under constant release strategy are proved, as well as sufficient conditions to ensure FTCS of these two systems is obtained, respectively.
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- By using the control theory and maximum principle, the optimal control strategy of the stochastic model under proportional releases is proposed and rigorously proved by mathematical theory.
2. Finite-Time Contraction Stability for Delay Differential Equation by Constant Releases
3. Finite-Time Contraction Stability for Stochastic Differential Equation by Constant Releases
3.1. Stochastic Boundedness
3.2. Finite-Time Contraction Stability
4. Optimal Control for Stochastic Mosquito Population Model by Proportional Releases
- The term denotes the total number of wild mosquito populations over time T.
- The term shows the total cost of releasing Wolbachia-infected mosquitoes.
5. Concluding Remarks
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Zhang, L.; Guo, W. Finite-Time Contraction Stability and Optimal Control for Mosquito Population Suppression Model. Mathematics 2024, 12, 22. https://doi.org/10.3390/math12010022
Zhang L, Guo W. Finite-Time Contraction Stability and Optimal Control for Mosquito Population Suppression Model. Mathematics. 2024; 12(1):22. https://doi.org/10.3390/math12010022
Chicago/Turabian StyleZhang, Lin, and Wenjuan Guo. 2024. "Finite-Time Contraction Stability and Optimal Control for Mosquito Population Suppression Model" Mathematics 12, no. 1: 22. https://doi.org/10.3390/math12010022
APA StyleZhang, L., & Guo, W. (2024). Finite-Time Contraction Stability and Optimal Control for Mosquito Population Suppression Model. Mathematics, 12(1), 22. https://doi.org/10.3390/math12010022