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Original Articles

New revised simple models for interactive wild and sterile mosquito populations and their dynamics

Pages 316-333 | Received 30 Apr 2016, Accepted 19 Jul 2016, Published online: 10 Aug 2016

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

Rong Yan & Qiwen Sun. (2022) Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model. Journal of Biological Dynamics 16:1, pages 254-276.
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Zhongcai Zhu, Rong Yan & Xiaomei Feng. (2022) Existence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model. Journal of Biological Dynamics 16:1, pages 277-293.
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Liming Cai, Lanjing Bao, Logan Rose, Jeffery Summers & Wandi Ding. (2022) Malaria modeling and optimal control using sterile insect technique and insecticide-treated net. Applicable Analysis 101:5, pages 1715-1734.
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Genghong Lin & Yuanxian Hui. (2020) Stability analysis in a mosquito population suppression model. Journal of Biological Dynamics 14:1, pages 578-589.
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Bo Zheng & Jianshe Yu. (2018) Characterization of Wolbachia enhancing domain in mosquitoes with imperfect maternal transmission. Journal of Biological Dynamics 12:1, pages 596-610.
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Articles from other publishers (24)

Sourav Kumar Sasmal, Yasuhiro Takeuchi & Yukihiko Nakata. (2024) A simple model to control the wild mosquito with sterile release. Journal of Mathematical Analysis and Applications 531:1, pages 127828.
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Kaihui Liu & Yijun Lou. (2023) A periodic delay differential system for mosquito control with Wolbachia incompatible insect technique. Nonlinear Analysis: Real World Applications 73, pages 103867.
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Juan Wang, Peixia Yue & Liming Cai. (2022) The dynamics of delayed models for interactive wild and sterile mosquito populations. International Journal of Biomathematics 16:05.
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Ling Xue, Xiulei Jin & Huaiping Zhu. (2023) Assessing the impact of serostatus-dependent immunization on mitigating the spread of dengue virus. Journal of Mathematical Biology 87:1.
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Yuanxian Hui, Zhong Zhao, Qiuying Li & Liuyong Pang. (2022) Asymptotic stability in a mosquito population suppression model with time delay. International Journal of Biomathematics 16:04.
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Dianavinnarasi Joseph, Raja Ramachandran, Jehad Alzabut, Sayooj Aby Jose & Hasib Khan. (2023) A Fractional-Order Density-Dependent Mathematical Model to Find the Better Strain of Wolbachia. Symmetry 15:4, pages 845.
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Junjie He, Di Li & Shouzong Liu. (2023) Global dynamics of a mosquito population suppression model with stage and sex structure. AIMS Mathematics 8:6, pages 14027-14046.
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Zhongcai Zhu & Xue He. (2023) Rich and complex dynamics of a time-switched differential equation model for wild mosquito population suppression with Ricker-type density-dependent survival probability. AIMS Mathematics 8:12, pages 28670-28689.
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Rong Yan, Bo Zheng & Jianshe Yu. (2023) Existence and stability of periodic solutions for a mosquito suppression model with incomplete cytoplasmic incompatibility. Discrete and Continuous Dynamical Systems - B 28:5, pages 3172-3192.
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Xingtong Liu, Yuanshun Tan & Bo Zheng. (2022) Dynamic Behavior of an Interactive Mosquito Model under Stochastic Interference. Mathematics 10:13, pages 2284.
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Zhong Zhao, Liuyong Pang, Xinyu Song, Dongyun Wang & Qiuying Li. (2021) Impact of the impulsive releases and Allee effect on the dispersal behavior of the wild mosquitoes. Journal of Applied Mathematics and Computing 68:3, pages 1527-1544.
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Yunfeng Liu, Feng Jiao & Linchao Hu. (2022) Modeling mosquito population control by a coupled system. Journal of Mathematical Analysis and Applications 506:2, pages 125671.
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Zhongcai Zhu, Yantao Shi, Rong Yan & Linchao Hu. (2022) Periodic Orbits of a Mosquito Suppression Model Based on Sterile Mosquitoes. Mathematics 10:3, pages 462.
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Shangbing Ai, Jia Li, Jianshe Yu & Bo Zheng. (2022) Stage-structured models for interactive wild and periodically and impulsively released sterile mosquitoes. Discrete and Continuous Dynamical Systems - B 27:6, pages 3039.
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Zhongcai Zhu, Bo Zheng, Yantao Shi, Rong Yan & Jianshe Yu. (2021) Stability and periodicity in a mosquito population suppression model composed of two sub-models. Nonlinear Dynamics 107:1, pages 1383-1395.
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Urbain Traoré. (2021) Dynamics of Mosquito Population Models with Spatial Diffusion. International Journal of Differential Equations 2021, pages 1-8.
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Mingzhan Huang, Shouzong Liu & Xinyu Song. (2021) Study of the sterile insect release technique for a two-sex mosquito population model. Mathematical Biosciences and Engineering 18:2, pages 1314-1339.
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Anis Ben Dhahbi, Yassine Chargui, Salah Mahmoud Boulaaras, Sana Ben Khalifa, Waleed Koko & Faisal Alresheedi. (2020) Mathematical Modelling of the Sterile Insect Technique Using Different Release Strategies. Mathematical Problems in Engineering 2020, pages 1-9.
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Li-Ming Cai. (2020) Dynamics of Wild and Sterile Mosquito Population Models with Delayed Releasing. International Journal of Bifurcation and Chaos 30:11, pages 2050218.
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Anis Ben Dhahbi, Yassine Chargui, Salah Mahmoud Boulaaras & Sana Ben Khalifa. (2020) A One-Sided Competition Mathematical Model for the Sterile Insect Technique. Complexity 2020, pages 1-12.
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Cuihong Yang, Xinan Zhang & Jia Li. (2020) Dynamics of two-patch mosquito population models with sterile mosquitoes. Journal of Mathematical Analysis and Applications 483:2, pages 123660.
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Yanyuan Xing, Jian Liu & Zhiming Guo. (2019) A discrete-time mathematical model of stage-structured mosquito populations. Advances in Difference Equations 2019:1.
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Dan Li & Hui Wan. (2019) The Threshold Infection Level for $${{Wolbachia }}$$ Invasion in a Two-Sex Mosquito Population Model. Bulletin of Mathematical Biology 81:7, pages 2596-2624.
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Yang Li & Jia Li. (2018) Discrete-time models for releases of sterile mosquitoes with Beverton–Holt-type of survivability. Ricerche di Matematica 67:1, pages 141-162.
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