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Journal of Difference Equations and Applications Volume 25, 2019 - Issue 11
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Articles

Modeling Wolbachia infection in mosquito population via discrete dynamical models

Jianshe YuCenter for Applied Mathematics, Guangzhou University, Guangzhou, People's Republic of China;College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, People's Republic of ChinaView further author information
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Bo ZhengCenter for Applied Mathematics, Guangzhou University, Guangzhou, People's Republic of China;College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, People's Republic of ChinaCorrespondence[email protected]
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Pages 1549-1567 | Received 10 Apr 2019, Accepted 10 Sep 2019, Published online: 08 Oct 2019

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René Lozi. (2023) Research on actual or industrial applications of difference equations: a chimerical task?. Journal of Difference Equations and Applications 0:0, pages 1-55.
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Yantao Shi, Jianshe Yu & Jia Li. (2023) The effects of three release strategies on Wolbachia infection frequency in mosquito populations. Journal of Difference Equations and Applications 0:0, pages 1-25.
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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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Yantao Shi & Bo Zheng. (2022) Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios. Journal of Biological Dynamics 16:1, pages 320-339.
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Yuhua Long. (2020) Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients. Journal of Difference Equations and Applications 26:7, pages 966-986.
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Calvin Tadmon & Severin Foko. (2020) Non-standard finite difference method applied to an initial boundary value problem describing hepatitis B virus infection. Journal of Difference Equations and Applications 26:1, pages 122-139.
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Yantao Shi & Jianshe Yu. (2020) Wolbachia infection enhancing and decaying domains in mosquito population based on discrete models. Journal of Biological Dynamics 14:1, pages 679-695.
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Mugen Huang & Linchao Hu. (2020) Modeling the suppression dynamics of Aedes mosquitoes with mating inhomogeneity. Journal of Biological Dynamics 14:1, pages 656-678.
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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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Yunfeng Liu, Zhiming Guo, Mohammad El Smaily & Lin Wang. (2020) A Wolbachia infection model with free boundary. Journal of Biological Dynamics 14:1, pages 515-542.
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Yanyuan Xing, Zhiming Guo & Jian Liu. (2020) Backward bifurcation in a malaria transmission model. Journal of Biological Dynamics 14:1, pages 368-388.
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Jia Li & Shangbing Ai. (2020) Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Journal of Biological Dynamics 14:1, pages 289-307.
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Jianshe Yu & Jia Li. (2019) Dynamics of interactive wild and sterile mosquitoes with time delay. Journal of Biological Dynamics 13:1, pages 606-620.
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Yun Li, Hongyong Zhao & Yao Cheng. (2024) Modeling mosquito control by an impulsive reaction–diffusion mosquito model with periodic evolution domain. Communications in Nonlinear Science and Numerical Simulation 130, pages 107738.
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Bo Zheng & Jianshe Yu. (2022) At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model. Journal of Dynamics and Differential Equations 35:4, pages 2997-3009.
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Feng Xiong. (2023) Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p-Laplacian. Mathematics 11:15, pages 3288.
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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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Yantao Shi & Bo Zheng. (2023) Modeling Wolbachia infection frequency in mosquito populations via a continuous periodic switching model. Advances in Nonlinear Analysis 12:1.
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Xinning Niu, Huixin Liu, Dan Li & Yan Yan. (2023) Positive periodic solutions for discrete Nicholson system with multiple time-varying delays. Electronic Research Archive 31:11, pages 6982-6999.
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Xiaomei Feng, Linchao Hu & Jianshe Yu. (2023) The impact of incomplete cytoplasmic incompatibility on mosquito population suppression by <i>Wolbachia</i>. Discrete and Continuous Dynamical Systems - B 0:0, pages 0-0.
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Zhongcai Zhu, Xiaomei Feng & Linchao Hu. (2023) GLOBAL DYNAMICS OF A MOSQUITO POPULATION SUPPRESSION MODEL UNDER A PERIODIC RELEASE STRATEGY. Journal of Applied Analysis & Computation 13:4, pages 2297-2314.
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Zhigang Liu, Tieling Chen & Tiejun Zhou. (2023) Analysis of impulse release of Wolbachia to control Nilaparvata lugens. Communications in Nonlinear Science and Numerical Simulation 116, pages 106842.
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Samson T. Ogunlade, Adeshina I. Adekunle, Emma S. McBryde & Michael T. Meehan. (2022) Modelling the ecological dynamics of mosquito populations with multiple co-circulating Wolbachia strains. Scientific Reports 12:1.
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Ying Su, Bo Zheng & Xingfu Zou. (2022) Wolbachia Dynamics in Mosquitoes with Incomplete CI and Imperfect Maternal Transmission by a DDE System. Bulletin of Mathematical Biology 84:9.
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Bo Zheng, Jia Li & Jianshe Yu. (2021) One discrete dynamical model on the Wolbachia infection frequency in mosquito populations. Science China Mathematics 65:8, pages 1749-1764.
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Bo Zheng. (2022) Impact of releasing period and magnitude on mosquito population in a sterile release model with delay. Journal of Mathematical Biology 85:2.
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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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Jianshe Yu & Jia Li. (2022) A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Journal of Mathematical Biology 84:3.
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Yun Li, Hongyong Zhao & Kai Wang. (2022) Dynamics of an impulsive reaction-diffusion mosquitoes model with multiple control measures. Mathematical Biosciences and Engineering 20:1, pages 775-806.
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Yuhua Long & Qinqin Zhang. (2022) SIGN-CHANGING SOLUTIONS OF A DISCRETE FOURTH-ORDER LIDSTONE PROBLEM WITH THREE PARAMETERS. Journal of Applied Analysis & Computation 12:3, pages 1118-1140.
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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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Liang Ding, Rongrong Tian & Jinlong Wei. (2021) Periodic solutions for second-order difference equations with quadratic–supquadratic condition. Advances in Difference Equations 2021:1.
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Feng Xiong & Zhan Zhou. (2021) Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving p-Laplacian. Advances in Difference Equations 2021:1.
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Shaohong Wang & Zhan Zhou. (2021) Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian. Boundary Value Problems 2021:1.
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Yazhi Li & Lili Liu. (2021) The impact of Wolbachia on dengue transmission dynamics in an SEI–SIS model. Nonlinear Analysis: Real World Applications 62, pages 103363.
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Zhigang Liu & Tiejun Zhou. (2021) Wolbachia spreading dynamics in Nilaparvata lugens with two strains. Nonlinear Analysis: Real World Applications 62, pages 103361.
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Zhuomin Zhang & Zhan Zhou. (2021) Infinitely Many Solutions for Discrete Boundary Value Problems with the -Laplacian Operator . Journal of Function Spaces 2021, pages 1-9.
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Lijie Chang, Yantao Shi & Bo Zheng. (2021) Existence and Uniqueness of Nontrivial Periodic Solutions to a Discrete Switching Model. Mathematics 9:19, pages 2377.
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Shaohong Wang & Zhan Zhou. (2021) Three Solutions for a Partial Discrete Dirichlet Problem Involving the Mean Curvature Operator. Mathematics 9:14, pages 1691.
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Sijia Du & Zhan Zhou. (2021) On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator. Advances in Nonlinear Analysis 11:1, pages 198-211.
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Bo Zheng & Jianshe Yu. (2021) Existence and uniqueness of periodic orbits in a discrete model on Wolbachia infection frequency . Advances in Nonlinear Analysis 11:1, pages 212-224.
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Feng Xiong & Zhan Zhou. (2021) Small Solutions of the Perturbed Nonlinear Partial Discrete Dirichlet Boundary Value Problems with (p,q)-Laplacian Operator. Symmetry 13:7, pages 1207.
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Linchao Hu, Cui Yang, Yuanxian Hui & Jianshe Yu. (2021) Mosquito Control Based on Pesticides and Endosymbiotic Bacterium Wolbachia. Bulletin of Mathematical Biology 83:5.
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Jae‐Myoung Kim & Soo‐Oh Yang. (2020) Multiple homoclinic orbits for a class of the discrete p ‐Laplacian with unbounded potentials . Mathematical Methods in the Applied Sciences 44:1, pages 1103-1117.
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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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Jiaoxiu Ling & Zhan Zhou. (2021) Positive solutions of the discrete Robin problem with $ \phi $-Laplacian. Discrete & Continuous Dynamical Systems - S 14:9, pages 3183.
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Liping Luo, Zhenguo Luo & Yunhui Zeng. (2021) New results for oscillation of fractional partial differential equations with damping term. Discrete & Continuous Dynamical Systems - S 14:9, pages 3223.
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Bo Zheng, Jianshe Yu & Jia Li. (2021) Modeling and Analysis of the Implementation of the Wolbachia Incompatible and Sterile Insect Technique for Mosquito Population Suppression. SIAM Journal on Applied Mathematics 81:2, pages 718-740.
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Jianshe Yu. (2020) Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model. Journal of Differential Equations 269:12, pages 10395-10415.
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Sijia Du & Zhan Zhou. (2020) Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p-Laplacian. Mathematics 8:11, pages 2030.
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Yanshan Chen & Zhan Zhou. (2020) Existence of Three Solutions for a Nonlinear Discrete Boundary Value Problem with ϕc-Laplacian. Symmetry 12:11, pages 1839.
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Jianshe Yu & Jia Li. (2020) Global asymptotic stability in an interactive wild and sterile mosquito model. Journal of Differential Equations 269:7, pages 6193-6215.
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Jianxia Wang & Zhan Zhou. (2020) Existence of Solutions for the Discrete Dirichlet Problem Involving -Mean Curvature Operator . Discrete Dynamics in Nature and Society 2020, pages 1-10.
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Jianxia Wang & Zhan Zhou. (2020) Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with p-Mean Curvature Operator. Mathematics 8:3, pages 381.
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Yijie Li, Zhiming Guo & Yanyuan Xing. (2020) Modeling Wolbachia Diffusion in Mosquito Populations by Discrete Competition Model . Discrete Dynamics in Nature and Society 2020, pages 1-11.
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