Impulsive release strategies of sterile mosquitos for optimal control of wild population

References

• L. Almeida, M. Duprez, Y. Privat, and N. Vauchelet, Optimal control strategies for the sterile mosquitoes technique, preprint. Available at arXiv:2011.04449.
   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), pp. 374–389.
   Web of Science ®Google Scholar
• H.J. Barclay, The sterile insect release method on species with two-stage life cycles, Res. Popul. Ecol.21 (1980), pp. 165–180.
   Google Scholar
• H.J. Barclay, Pest population stability under sterile releases, Res. Popul. Ecol. 24 (1982), pp. 405–416.
   Google Scholar
• H.J. Barclay, Modeling incomplete sterility in a sterile release program: Interactions with other factors, Popul. Ecol. 43 (2001), pp. 197–206.
   Web of Science ®Google Scholar
• H.J. Barclay, Mathematical models for the use of sterile insects, in Sterile Insect Technique. Principles and Practice in Area-Wide Integrated Pest Management, Springer, Heidelberg, 2005, pp. 147–174
   Google Scholar
• H.J. Barclay and M. Mackauer, The sterile insect release method for pest control: A density dependent model, Environ. Entomol. 9 (1980), pp. 810–817.
   Web of Science ®Google Scholar
• D.D. Bainov and P.S. Simeonov, Impulsive differential equations: Periodic solutions and applications, in Pitman Monographs and Surveys in Pure and Applied Mathematics, Pitman, London, 1993.
   Google Scholar
• D.D. Bainov and P.S. Simeonov, System with impulse effect, theory and applications, in Ellis Harwood Series in Mathematics and its Applications, Ellis Harwood, Chichester, 1993.
   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), pp. 43–60.
   PubMed Web of Science ®Google Scholar
• P.A. Bliman, D. Cardona-Salgado, Y. Dumont, and O. Vasilieva, Optimal control approach for implementation of sterile insect techniques, preprint. Available at arXiv:1911.00034.
   Google Scholar
• L. Cai, S. Ai, and J. Li, Dynamics of mosquitoes populations with different strategies for releasing sterile mosquitoes, SIAM, J. Appl. Math. 74 (2014), pp. 1786–1809.
   Web of Science ®Google Scholar
• L. Cai, J. Huang, X. Song, and Y. Zhang, Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes, Discrete Contin. Dyn. Syst. Ser. B 24 (2019), pp. 6279–6295.
   Web of Science ®Google Scholar
• Y. Dumont and J.M. Tchuenche, Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus, J. Math. Biol. 65 (2012), pp. 809–854.
   PubMed Web of Science ®Google Scholar
• S.D. Frank, Biological control of arthropod pests using banker plant systems: Past progress and future directions, Biol. Control 52 (2010), pp. 8–16.
   Web of Science ®Google Scholar
• K.R. Fister, M.L. Mccarthy, and S.F. Oppenheimer, et al. Optimal control of insects through sterile insect release and habitat modification, Math. Biosci. 244 (2013), pp. 201–212.
   PubMed Web of Science ®Google Scholar
• M. Huang, X. Song, J. Li, Modelling and analysis of impulsive release of sterile mosquitoes, J. Biol. Dyn. 11(2017), pp. 147–171.
   PubMed Web of Science ®Google Scholar
• J. Huang, S. Ruan, P. Yu, and Y. Zhang, Bifurcation analysis of a mosquito population model with a saturated release rate of sterile mosquitoes, SIAM J. Appl. Dyn. Syst. 18 (2019), pp. 939–972.
   Web of Science ®Google Scholar
• H. Laven, Eradication of Culex pipiens fatigans through cytoplasmic incompatibility, Nature 216 (1967), pp. 383–384.
   PubMed Web of Science ®Google Scholar
• J. Li, New revised simple models for interactive wild and sterile mosquito populations and their dynamics, J. Biol. Dyn. 11(2016), pp. 1–18.
   Web of Science ®Google Scholar
• J. Li and S. Ai, Impulsive releases of sterile mosquitoes and interactive dynamics with time delay, J. Biol. Dyn. 14 (2020), pp. 313–331.
   PubMed Web of Science ®Google Scholar
• J. Li and Z. Yuan, Modeling releases of sterile mosquitoes with different strategies, J. Biol. Dyn. 9 (2015), pp. 1–14.
   PubMedGoogle Scholar
• Y. Liu, K.L. Teo, and L.S. Jennings, et al. On a class of optimal control problems with state jumps, J. Opt. Theory Appl. 98 (1998), pp. 65–82.
   Web of Science ®Google Scholar
• J. Li, L. Cai, and Y. Li, Stage-structured wild and sterile mosquito population models and their dynamics, J. Biol. Dyn. (2016), pp. 1–23.
   Web of Science ®Google Scholar
• X.Y. Liang, Y.Z. Pei, M.X. Zhu, and Y.F. Lv, Multiple kinds of optimal impulse control strategies on plant-pest-predator model with eco-epidemiology, Appl. Math. Comput. 287–288 (2016), pp. 1–11.
   Web of Science ®Google Scholar
• P.Neuenschwander and H.R. Herren, Biological control of the Cassava Mealybug, Phenacoccusmanihoti, by the exotic parasitoid epidinocarsis lopezi in Africa, Philos. Trans. R. Soc. Lond. B 318 (1988), pp. 319–333.
   Web of Science ®Google Scholar
• F.D. Parker, Management of Pest Populations by Manipulating Densities of Both Hosts and Parasites Through Periodic Releases, Springer, USA, 1971.
   Google Scholar
• Y.Z. Pei, M.M. Chen, X.Y. Liang, C.G. Li, and M.X. Zhu, Optimizing pulse timings and amounts of biological interventions for a pest regulation model, Nonlinear Anal.: Hybrid Syst. 27 (2018), pp. 353–365.
   Web of Science ®Google Scholar
• Z. Qiu, X. Wei, C. Shan, and H. Zhu, Monotone dynamics and global behaviors of a west Nile virusmodel with mosquito demographics, J. Math. Biol. 80 (2019), pp. 1–26.
   Web of Science ®Google Scholar
• M. Strugarek, H. Bossin, and Y. Dumont, On the use of the sterile insect technique or the incompatible insect technique to reduce or eliminate mosquito populations, Appl. Math. Model. 68 (2019), pp. 443–470.
   Web of Science ®Google Scholar
• K.L. Teo, Control parametrization enhancing transform to optimal control problems, Nonlinear Anal. TMA 63 (2005), pp. e2223–e2236.
   Web of Science ®Google Scholar
• S.M. White, P. Rohani, and S.M. Sait, Modelling pulsed releases for sterile insect techniques: Fitness costs of sterile and transgenic males and the effects on mosquito dynamics, J. Appl. Ecol. 47 (2010), pp. 1329–1339.
   Web of Science ®Google Scholar
• S. Xiang, Y. Pei, and X. Liang, Analysis and optimization-based on a sex pheromone and pesticide pest model with gestation delay, Int. J. Biomath. 12 (2019), pp. 1950054.
   Google Scholar
• J. Yu, Modeling mosquito population suppression based on delay differential equations, SIAM J. Appl. Math. 78(6) (2018), pp. 3168–3187.
   Web of Science ®Google Scholar
• J. Yu, Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model, J. Differ. Equ. 269(12) (2020), pp. 10395–10415.
   Web of Science ®Google Scholar
• J. Yu and J. Li, Dynamics of interactive wild and sterile mosquitoes with time delay, J. Biol. Dyn. 13 (2019), pp. 606–620.
   PubMed Web of Science ®Google Scholar
• J. Yu and J. Li, Global asymptotic stability in an interactive wild and sterile mosquito model, J. Differ. Equ. 269(7) (2020), pp. 6193–6215.
   Web of Science ®Google Scholar
• J. Yu and B. Zheng, Modeling Wolbachia infection in mosquito population via discrete dynamical models, J. Differ. Equ. Appl. 25(1) (2019), pp. 1–19.
   Google Scholar
• Z.Q. Yang, X.Y. Wang, Y.N. Zhang, and S.B. Vinson, Recent advances in biological control of important native and invasive forest pests in china, Biol. Control 68 (2014), pp. 117–128.
   Web of Science ®Google Scholar
• X. Zheng, D. Zhang, and Y. Li, et al. Incompatible and sterile insect techniques combined eliminate mosquitoes, Nature 572 (2019), pp. 56–61.
   PubMed Web of Science ®Google Scholar