Geodesic
Optimal control approach for implementation of sterile insect techniques
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 183 (2020), pp. 35-51

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The vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the sterile insect technique (SIT) is one of the most promising. However, SIT-control campaigns must be carefully planned in advance in order to render desirable outcomes. In this paper, we design SIT-control intervention programs that can avoid the real-time monitoring of the wild population and require to mass-rear a minimal overall number of sterile insects, in order to induce a local elimination of the wild population in the shortest time. Continuous-time release programs are obtained by applying an optimal control approach, and then laying the groundwork of more practical SIT-control programs consisting of periodic impulsive releases.
Keywords: pest control, vector control, optimal control, periodic impulsive control, open-loop control.
Mots-clés : sterile insect technique 
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     author = {P. A. Bliman and D. Cardona-Salgado and Y. Dumont and O. O. Vasilieva},
     title = {Optimal control approach for implementation of sterile insect techniques},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {35--51},
     publisher = {mathdoc},
     volume = {183},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_183_a3/}
}
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P. A. Bliman; D. Cardona-Salgado; Y. Dumont; O. O. Vasilieva. Optimal control approach for implementation of sterile insect techniques. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 183 (2020), pp. 35-51. http://geodesic.mathdoc.fr/item/INTO_2020_183_a3/