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Subsequently, it reveals saddle-node bifurcation, forward bifurcation, backward bifurcation and their compound phenomena, thereby elucidating the abrupt dynamic changes near parameter thresholds of the system. Numerical simulations validate the theoretical results, quantify the regulatory effects of key parameters, and confirm that the combined strategy effectively suppresses mosquito population growth and interrupts malaria transmission through synergistic effects. The results illustrate that accurate tuning of critical parameters for the integrated control strategy and exploitation of synergism between Wolbachia and chemical insecticides can effectively modulate mosquito populations and block malaria transmission.<\/jats:p>","DOI":"10.1088\/1478-3975\/ae8aa7","type":"journal-article","created":{"date-parts":[[2026,7,14]],"date-time":"2026-07-14T22:54:06Z","timestamp":1784069646000},"page":"046006","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Dynamical modeling and bifurcation analysis of malaria transmission under synergistic control of Wolbachia-infected male release and chemical insecticides"],"prefix":"10.1088","volume":"23","author":[{"given":"Xinyu","family":"Wang","sequence":"first","affiliation":[{"name":"Hefei University of Economics"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Zhou","sequence":"additional","affiliation":[{"name":"Anhui Polytechnic University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2748-4474","authenticated-orcid":true,"given":"Liping","family":"Wang","sequence":"additional","affiliation":[{"name":"Anhui Polytechnic University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,8,14]]},"reference":[{"key":"pbae8aa7bib1","doi-asserted-by":"publisher","first-page":"162","DOI":"10.3390\/tropicalmed8030162","type":"journal-article","article-title":"Modeling sustained transmission of Wolbachia among Anopheles mosquitoes: implications for malaria control in Haiti","volume":"8","author":"Florez","year":"2023","journal-title":"Trop. 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