{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T21:38:32Z","timestamp":1757453912768,"version":"3.37.3"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T00:00:00Z","timestamp":1650585600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T00:00:00Z","timestamp":1650585600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071407","11901502"],"award-info":[{"award-number":["12071407","11901502"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012554","name":"Foundation for Distinguished Young Talents in Higher Education of Henan","doi-asserted-by":"publisher","award":["2019GGJS157"],"award-info":[{"award-number":["2019GGJS157"]}],"id":[{"id":"10.13039\/501100012554","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004609","name":"Foundation of Henan Educational Committee","doi-asserted-by":"publisher","award":["21A110022"],"award-info":[{"award-number":["21A110022"]}],"id":[{"id":"10.13039\/501100004609","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Scientific and Technological Key Projects of Henan Province","award":["212102110025"],"award-info":[{"award-number":["212102110025"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s12190-022-01735-w","type":"journal-article","created":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T07:05:50Z","timestamp":1650611150000},"page":"89-111","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Study of a delayed mosquito population suppression model with stage and sex structure"],"prefix":"10.1007","volume":"69","author":[{"given":"Mingzhan","family":"Huang","sequence":"first","affiliation":[]},{"given":"Shouzong","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Xinyu","family":"Song","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,4,22]]},"reference":[{"key":"1735_CR1","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1038\/s41586-019-1407-9","volume":"572","author":"X Zheng","year":"2019","unstructured":"Zheng, X., Zhang, D., Li, Y., et al.: Incompatible and sterile insect techniques combined eliminate mosquitoes. Nature 572, 56\u201361 (2019)","journal-title":"Nature"},{"key":"1735_CR2","doi-asserted-by":"publisher","first-page":"1329","DOI":"10.1111\/j.1365-2664.2010.01880.x","volume":"47","author":"SM White","year":"2010","unstructured":"White, S.M., Rohani, P., Sait, S.M.: Modelling pulsed releases for sterile insect techniques: fitness costs of sterile and transgenic males and the effects on mosquito dynamics. J. Appl. Ecol. 47, 1329\u20131339 (2010)","journal-title":"J. Appl. Ecol."},{"key":"1735_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1080\/17513758.2014.977971","volume":"9","author":"J Li","year":"2015","unstructured":"Li, J., Yuan, Z.: Modeling releases of sterile mosquitoes with different strategies. J. Biol. Dynam. 9, 1\u201314 (2015)","journal-title":"J. Biol. Dynam."},{"key":"1735_CR4","unstructured":"Li, J.: New revised simple models for interactive wild and sterile mosquito populations and their dynamics. J. Biol. Dynam. 1-18 (2016)"},{"key":"1735_CR5","doi-asserted-by":"crossref","unstructured":"Li, J., Cai, L., Li, Y.: Stage-structured wild and sterile mosquito population models and their dynamics. J. Biol. Dynam. 1-23 (2016)","DOI":"10.1080\/17513758.2016.1159740"},{"key":"1735_CR6","first-page":"1786","volume":"74","author":"L Cai","year":"2014","unstructured":"Cai, L., Ai, S., Li, J.: Dynamics of mosquitoes populations with different strategies for releasing sterile mosquitoes, SIAM. J. Appl. Math. 74, 1786\u20131809 (2014)","journal-title":"J. Appl. Math."},{"key":"1735_CR7","doi-asserted-by":"publisher","first-page":"6274","DOI":"10.3934\/mbe.2019313","volume":"16","author":"L Almeida","year":"2019","unstructured":"Almeida, L., Duprez, M., Privat, Y., Vauchelet, N.: Mosquito population control strategies for fighting against arboviruses. Math. Biosci. Eng. 16, 6274\u20136297 (2019)","journal-title":"Math. Biosci. Eng."},{"key":"1735_CR8","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1016\/j.jde.2021.12.002","volume":"311","author":"L Almeida","year":"2022","unstructured":"Almeida, L., Duprez, M., Privat, Y., Vauchelet, N.: Optimal control strategies for the sterile mosquitoes technique. J. Differ. Eq. 311, 229\u2013266 (2022)","journal-title":"J. Differ. Eq."},{"issue":"2","key":"1735_CR9","doi-asserted-by":"publisher","first-page":"1314","DOI":"10.3934\/mbe.2021069","volume":"18","author":"M Huang","year":"2021","unstructured":"Huang, M., Liu, S., Song, X.: Study of the sterile insect release technique for a two-sex mosquito population model. Math. Biosci. Eng. 18(2), 1314\u20131339 (2021)","journal-title":"Math. Biosci. Eng."},{"issue":"1","key":"1735_CR10","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1080\/17513758.2021.1887380","volume":"15","author":"M Huang","year":"2021","unstructured":"Huang, M., You, L., Liu, S., Song, X.: Impulsive release strategies of sterile mosquitos for optimal control of wild population. J. Biol. Dyn. 15(1), 151\u2013176 (2021)","journal-title":"J. Biol. Dyn."},{"issue":"1","key":"1735_CR11","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1080\/17513758.2016.1254286","volume":"11","author":"M Huang","year":"2017","unstructured":"Huang, M., Song, X., Li, J.: Modelling and analysis of impulsive release of sterile mosquitoes. J. Biol. Dyn. 11(1), 147\u2013171 (2017)","journal-title":"J. Biol. Dyn."},{"key":"1735_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jtbi.2017.12.012","volume":"440","author":"M Huang","year":"2018","unstructured":"Huang, M., Luo, J., Hu, L., et al.: Assessing the efficiency of Wolbachia driven Aedes mosquito suppression by delay differential equations. J. Theor. Biol. 440, 1\u201311 (2018)","journal-title":"J. Theor. Biol."},{"key":"1735_CR13","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1080\/17513758.2020.1748239","volume":"14","author":"J Li","year":"2020","unstructured":"Li, J., Ai, S.: Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. J. Biol. Dynam. 14, 313\u2013331 (2020)","journal-title":"J. Biol. Dynam."},{"key":"1735_CR14","first-page":"3168","volume":"78","author":"J Yu","year":"2018","unstructured":"Yu, J.: Modeling mosquito population suppression based on delay differential equations, SIAM. J. Appl. Math. 78, 3168\u20133187 (2018)","journal-title":"J. Appl. Math."},{"key":"1735_CR15","doi-asserted-by":"publisher","first-page":"6193","DOI":"10.1016\/j.jde.2020.04.036","volume":"269","author":"J Yu","year":"2020","unstructured":"Yu, J., Li, J.: Global asymptotic stability in an interactive wild and sterile mosquito model. J. Differ. Equ. 269, 6193\u20136215 (2020)","journal-title":"J. Differ. Equ."},{"key":"1735_CR16","doi-asserted-by":"publisher","first-page":"10395","DOI":"10.1016\/j.jde.2020.07.019","volume":"269","author":"J Yu","year":"2020","unstructured":"Yu, J.: Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model. J. Differ. Equ. 269, 10395\u201310415 (2020)","journal-title":"J. Differ. Equ."},{"key":"1735_CR17","doi-asserted-by":"publisher","first-page":"606","DOI":"10.1080\/17513758.2019.1682201","volume":"13","author":"J Yu","year":"2019","unstructured":"Yu, J., Li, J.: Dynamics of interactive wild and sterile mosquitoes with time delay. J. Biol. Dyn. 13, 606\u2013620 (2019)","journal-title":"J. Biol. Dyn."},{"issue":"2","key":"1735_CR18","first-page":"718","volume":"81","author":"B Zheng","year":"2021","unstructured":"Zheng, B., Yu, J., Li, J.: Modeling and analysis of the implementation of the Wolbachia incompatible and sterile insect technique for mosquito population suppression, SIAM. J. Appl. Math. 81(2), 718\u2013740 (2021)","journal-title":"J. Appl. Math."},{"key":"1735_CR19","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1515\/anona-2020-0194","volume":"11","author":"B Zheng","year":"2022","unstructured":"Zheng, B., Yu, J.: Existence and uniqueness of periodic orbits in a discrete model on Wolbachia infection frequency. Adv. Nonlinear Anal. 11, 212\u2013224 (2022)","journal-title":"Adv. Nonlinear Anal."},{"key":"1735_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-021-1891-7","author":"B Zheng","year":"2021","unstructured":"Zheng, B., Li, J., Yu, J.: One discrete dynamical model on Wolbachia infection frequency in mosquito populations. Sci. China Math. (2021). https:\/\/doi.org\/10.1007\/s11425-021-1891-7","journal-title":"Sci. China Math."},{"key":"1735_CR21","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1016\/j.apm.2018.11.026","volume":"68","author":"M Strugarek","year":"2019","unstructured":"Strugarek, M., Bossin, H., Dumont, Y.: On the use of the sterile insect release technique to reduce or eliminate mosquito populations. Appl. Math. Model. 68, 443\u2013470 (2019)","journal-title":"Appl. Math. Model."},{"key":"1735_CR22","doi-asserted-by":"publisher","DOI":"10.1002\/mma.6385","author":"R Anguelov","year":"2020","unstructured":"Anguelov, R., Dumont, Y., Djeumen, I.: Sustainable vector\/pest control using the permanent sterile insect technique. Methematical Methods Appl. Sci. (2020). https:\/\/doi.org\/10.1002\/mma.6385","journal-title":"Methematical Methods Appl. Sci."},{"key":"1735_CR23","doi-asserted-by":"publisher","first-page":"1524","DOI":"10.1137\/110860306","volume":"72","author":"M Huang","year":"2012","unstructured":"Huang, M., Li, J., Song, X., Guo, H.: Modeling impulsive injections of insulin analogues: towards artificial pancreas. SIAM J. Appl. Math. 72, 1524\u20131548 (2012)","journal-title":"SIAM J. Appl. Math."},{"key":"1735_CR24","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1016\/j.jtbi.2006.05.002","volume":"242","author":"X Song","year":"2006","unstructured":"Song, X., Xiang, Z.: The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects. J. Theoret. Biol. 242, 683\u2013698 (2006)","journal-title":"J. Theoret. Biol."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-022-01735-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-022-01735-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-022-01735-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,27]],"date-time":"2023-01-27T23:00:10Z","timestamp":1674860410000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-022-01735-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,22]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["1735"],"URL":"https:\/\/doi.org\/10.1007\/s12190-022-01735-w","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"type":"print","value":"1598-5865"},{"type":"electronic","value":"1865-2085"}],"subject":[],"published":{"date-parts":[[2022,4,22]]},"assertion":[{"value":"3 February 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 March 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 March 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 April 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declaration"}},{"value":"The authors declare no conflict of interest in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}