A5056600609- Nonlinear Differential Equations Analysis
- Mathematical and Theoretical Epidemiology and Ecology Models
- Differential Equations and Numerical Methods
- Insect symbiosis and bacterial influences
- Mosquito-borne diseases and control
- Gene Regulatory Network Analysis
- Nonlinear Partial Differential Equations
- Advanced Differential Equations and Dynamical Systems
- Evolution and Genetic Dynamics
- Advanced Mathematical Modeling in Engineering
- Differential Equations and Boundary Problems
- Insect and Pesticide Research
- Stability and Controllability of Differential Equations
- Fractional Differential Equations Solutions
- Numerical methods for differential equations
- Advanced Mathematical Physics Problems
- Mathematical Biology Tumor Growth
- Nonlinear Photonic Systems
- Insect and Arachnid Ecology and Behavior
- Single-cell and spatial transcriptomics
- Diffusion and Search Dynamics
- Plant and animal studies
- Evolutionary Game Theory and Cooperation
- Nonlinear Waves and Solitons
- Nonlinear Dynamics and Pattern Formation
Guangzhou University
2016-2025
Nanjing University of Posts and Telecommunications
2025
Shandong Academy of Sciences
2025
Qilu University of Technology
2025
Sun Yat-sen University
2003-2024
Wuhan Institute of Technology
2024
Guangdong University Of Finances and Economics
2018
Guangxi University of Science and Technology
2018
Guangdong University of Finance
2018
Gas Technology Institute
2017
By critical point theory, a new approach is provided to study the existence of periodic and subharmonic solutions second order difference equation Δ 2 x n - 1 + f ( , ) = 0 where ∈ C(R × Rm, Rm), f(t+M,z)+f(t,z) for any (t, z)∈R Rm M positive integer. This probably first time theory has been applied deal with systems.
Dengue fever is the most common mosquito-borne viral disease. A promising control strategy targets mosquito vector Aedes aegypti by releasing mosquitoes infected endosymbiotic bacterium Wolbachia to invade and replace wild population. With infection, reduces mosquito's dengue transmission potential brings females a reproductive advantage through cytoplasmic incompatibility. As often induces fitness costs, it important analyze how offsets costs for success of population replacement. In this...
Mosquito-borne diseases are threatening half of the world's population. A novel strategy disease control is to suppress mosquito population by releasing male mosquitoes infected a special strain Wolbachia. This bacterium induces cytoplasmic incompatibility so that eggs wild females mated with released males fail hatch. In this work, we introduce model delay differential equations initiate study on suppression dynamics compensation policy loss compensated new releasing, and constant amount...
We formulate discrete dynamical models to study Wolbachia infection persistence by releasing Wolbachia-infected mosquitoes, which display rich dynamics including bistable, semi-stable and globally asymptotically stable equilibria. Our analysis shows a maximal maternal leakage rate threshold, denoted μ∗, such that infected mosquitoes can only persist if it is not exceeded μ∗. When μ≤μ∗, we find the frequency p∗, provided initial x0≥p∗. For case when x0<p∗, release α∗, for α∈(0,α∗), threshold...
Abstract In this paper, we study a discrete model on Wolbachia infection frequency. Assume that periodic and impulsive release strategy is implemented, where infected males are released during the first N generations with ratio α , terminated from ( + 1)-th generation to T -th generation. We find threshold denoted by * ), prove existence of -periodic solution for when ∈ (0, )). For special case = 1 2, has unique which unstable While ≥ no phenomenon occurs fixation equilibrium globally...
We develop a delay differential equation model for the interactive wild and sterile mosquitoes. Different from existing modelling studies, we assume that only those sexually active mosquitoes play role dynamics. consider cases where release amount is either constant or described by given function of time. For releases, establish threshold releases to determine whether mosquito suppression succeeds fails. study existence stability equilibria. When are functions, trivial equilibrium no longer...
Consider the second-order discrete system where f ∈ C (R × R m , ), ( t + M, Z ) = t, for any and M is a positive integer. By making use of critical-point theory, existence -periodic solutions (*) obtained.