Open Access
| Issue |
Math. Model. Nat. Phenom.
Volume 21, 2026
|
|
|---|---|---|
| Article Number | 18 | |
| Number of page(s) | 42 | |
| Section | Population dynamics and epidemiology | |
| DOI | https://doi.org/10.1051/mmnp/2026005 | |
| Published online | 24 April 2026 | |
- H Barclay and M Mackauer, The sterile insect release method for pest control: a density-dependent model. Environ. Entomol. 9 (1980) 810–817. [Google Scholar]
- R. Gato, Z. Menendez, E. Prieto, R. Argiles, M. Rodríguez, W. Baldoquín, Y. Hernández, D. Perez, J. Anaya, I. Fuentes, C. Lorenzo, K. Gonzalez, Y. Campo and J. Bouyer, Sterile insect technique: successful suppression of an aedes aegypti field population in Cuba. Insects 12 (2021) 469. [Google Scholar]
- M.J.B. Vreysen, J. Hendrichs and W.R. Enkerlin, The sterile insect technique as a component of sustainable area-wide integrated pest management of selected horticultural insect pests. J. Fruit Ornamental Plant Res. 14 (2006) 107. [Google Scholar]
- L. Almeida, P.-A. Bliman, N. Nguyen and N. Vauchelet, Steady-state solutions for a reaction—diffusion equation with robin boundary conditions: Application to the control of dengue vectors. Eur. J. Appl. Math. 35 (2024) 382–408. [Google Scholar]
- L. Almeida, M. Duprez, Y. Privat and N. Vauchelet, Optimal control strategies for the sterile mosquitoes technique. J. Differ. Equ. 311 (2022) 229–266. [Google Scholar]
- P.-A. Bliman, D. Cardona-Salgado, Y. Dumont and O. Vasilieva, Implementation of control strategies for sterile insect techniques. Math. Biosci. 314 (2019) 43–60. [Google Scholar]
- P.-A. Bliman, Basic offspring number and robust feedback design for the biological control of vectors by sterile insect release technique. HAL, 04757871 (2024). [Google Scholar]
- P.-A. Bliman and Y. Dumont, Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration. Math. Biosci. 350 (2022) Paper No. 108856, 23. [Google Scholar]
- K. Agbo bidi, Feedback stabilization and observer design for sterile insect technique models. Math. Biosci. Eng. 21 (2024) 6263–6288. [Google Scholar]
- K. Agbo bidi, L. Almeida and J.-M. Coron, Global stabilization of a sterile insect technique model by feedback laws. J. Optim. Theory Appl. 204 (2025) 30. [Google Scholar]
- K. Agbo bidi, J.-M. Coron, A. Hayat and N. Lichtláe, Reinforcement learning in control theory: a new approach to mathematical problem solving, in The 3rd Workshop on Mathematical Reasoning and AI at NeurIPS'23 (2023). [Google Scholar]
- K. Agbo bidi, J.-M. Coron, A. Hayat and N. Lichtláe, A novel approach to feedback control with deep reinforcement learning. Syst. Control Lett. 202 (2025) 106102. [Google Scholar]
- L. Almeida, J. Estrada and N. Vauchelet, Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations. Math. Model. Nat. Phenom. 17 (2022) 22. [Google Scholar]
- R. Anguelov, Y. Dumont and I. Valaire Yatat Djeumen, On the use of traveling waves for pest/vector elimination using the sterile insect technique. arXiv preprint arXiv:2010.00861 (2020). [Google Scholar]
- L. Almeida, A. Leculier and N. Vauchelet, Analysis of the "Rolling carpet" strategy to eradicate an invasive species. SIAM J. Math. Anal. 55 (2023) 275–309. [Google Scholar]
- A. Leculier and N. Nguyen, A control strategy for the sterile insect technique using exponentially decreasing releases to avoid the hair-trigger effect. Math. Model. Natural Phenom. 18 (2023) 25. [Google Scholar]
- L. Almeida, A. Láeculier, N. Nguyen and N. Vauchelet, Rolling carpet strategy to reduce mosquito populations in two-dimensional space. Working paper or preprint (2025), https://hal.science/hal-05346984. [Google Scholar]
- J.-M. Coron, Control and nonlinearity, vol. 136 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI (2007). [Google Scholar]
- B. Dennis, Allee effects: Population growth, critical density, and the chance of extinction. Natural Resource Model. 3 (1989) 481–538. [Google Scholar]
- V.S. Manoranjan and P. Van Den Driessche, On a diffusion model for sterile insect release. Math. Biosci. 79 (1986) 199–208. [Google Scholar]
- A. Cristofaro and L. Rossi, Backstepping control for the sterile mosquitoes technique: stabilization of extinction equilibrium. Syst. Control Lett. 204 (2025) 106169. [Google Scholar]
- P. Grisvard, Elliptic problems in nonsmooth domains, vol. 24 of Monographs and Studies in Mathematics. Pitman (Advanced Publishing Program), Boston, MA (1985). [Google Scholar]
- R. Anguelov, Y. Dumont and J. Lubuma, Mathematical modeling of sterile insect technology for control of anopheles mosquito. Comput. Math. Appl. 64 (2012) 374–389. [Google Scholar]
- M. Strugarek, H. Bossin and Y. Dumont, On the use of the sterile insect release technique to reduce or eliminate mosquito populations. Appl. Math. Model. 68 (2019) 443–470. [Google Scholar]
- E. Kamke, Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II. Acta Math. 58 (1932) 57–85. [Google Scholar]
- W.A. Coppel, Stability and Asymptotic Behavior of Differential Equations. D.C. Heath and Company, Boston, MA (1965). [Google Scholar]
- M.A. Krasnosel'skii, The operator of translation along the trajectories of differential equations, vol. 19 of Translations of Mathematical Monographs. American Mathematical Society, Providence, RI (1968). Translated from the Russian by Scripta Technica. [Google Scholar]
- E.B. Davies, Heat kernels and spectral theory, vol. 92 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge (1989). [Google Scholar]
- T. Cazenave and A. Haraux, 2, vol. 13 of Oxford Lecture Series in Mathematics and its Applications. The Clarendon Press, Oxford University Press, New York (1998). Translated from the 1990 French original by Yvan Martel and revised by the authors. [Google Scholar]
- M. Pierre, Global existence in reaction-diffusion systems with control of mass: a survey. Milan J. Math. 78 (2010) 417–455. [Google Scholar]
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