Wolbachia infection dynamics by reaction-diffusion equations
From MaRDI portal
Publication:2018909
DOI10.1007/s11425-014-4934-8zbMath1337.35156OpenAlexW2252904607MaRDI QIDQ2018909
Mugen Huang, Moxun Tang, Jian She Yu
Publication date: 26 March 2015
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-014-4934-8
asymptotic stabilityreaction diffusion equationsdengue fevercytoplasmic incompatibilityWolbachia infection dynamics
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Boundary value problems for first-order elliptic systems (35J56)
Related Items
The roles of maturation delay and vaccination on the spread of dengue virus and optimal control ⋮ \textit{Wolbachia} spread dynamics in stochastic environments ⋮ Qualitative analysis for a Wolbachia infection model with diffusion ⋮ A sex-structured model with birth pulse and release strategy for the spread of \textit{Wolbachia} in mosquito population ⋮ Assessing the efficiency of \textit{Wolbachia} driven \textit{Aedes} mosquito suppression by delay differential equations ⋮ Modeling Mosquito Population Suppression Based on Delay Differential Equations ⋮ Malaria modeling and optimal control using sterile insect technique and insecticide-treated net ⋮ Bifurcation analysis of a wild and sterile mosquito model ⋮ Establishing \textit{Wolbachia} in the wild mosquito population: the effects of wind and critical patch size ⋮ The impact of mating competitiveness and incomplete cytoplasmic incompatibility on \textit{Wolbachia}-driven mosquito population suppression ⋮ Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model ⋮ Existence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model ⋮ Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios ⋮ An impulsive model for Wolbachia infection control of mosquito-borne diseases with general birth and death rate functions ⋮ \textit{Wolbachia} spreading dynamics in \textit{Nilaparvata lugens} with two strains ⋮ The impact of \textit{Wolbachia} on dengue transmission dynamics in an SEI-SIS model ⋮ Complex Wolbachia infection dynamics in mosquitoes with imperfect maternal transmission ⋮ Modeling \textit{Wolbachia} diffusion in mosquito populations by discrete competition model ⋮ Large time behavior and pointwise estimates for compressible Euler equations with damping ⋮ Global asymptotic stability in an interactive wild and sterile mosquito model ⋮ A mosquito population suppression model by releasing \textit{Wolbachia}-infected males ⋮ The impact of predators of mosquito larvae on Wolbachia spreading dynamics ⋮ Wolbachia spreading dynamics in mosquitoes with imperfect maternal transmission ⋮ Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays ⋮ The impact of incomplete cytoplasmic incompatibility on mosquito population suppression by \textit{Wolbachia} ⋮ Asymptotic stability in a mosquito population suppression model with time delay ⋮ Stability and periodicity in a mosquito population suppression model composed of two sub-models ⋮ Modeling the impact of migration on mosquito population suppression ⋮ Modeling Wolbachia infection frequency in mosquito populations via a continuous periodic switching model ⋮ The threshold infection level for \textit{Wolbachia} invasion in random environments ⋮ \textit{Wolbachia} spread dynamics in multi-regimes of environmental conditions ⋮ Two-sex mosquito model for the persistence ofWolbachia ⋮ Characterization ofWolbachiaenhancing domain in mosquitoes with imperfect maternal transmission ⋮ Dynamics of interactive wild and sterile mosquitoes with time delay ⋮ Impulsive releases of sterile mosquitoes and interactive dynamics with time delay ⋮ A Wolbachia infection model with free boundary ⋮ Modeling mosquito population control by a coupled system ⋮ Ensuring successful introduction of \textit{Wolbachia} in natural populations of \textit{Aedes aegypti} by means of feedback control ⋮ Existence and uniqueness of periodic orbits in a discrete model on \textit{Wolbachia} infection frequency ⋮ Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model ⋮ A delayed differential equation model for mosquito population suppression with sterile mosquitoes ⋮ ModelingWolbachiainfection in mosquito population via discrete dynamical models ⋮ Oscillation threshold for a mosquito population suppression model with time delay ⋮ A stage structured model of delay differential equations for \textit{Aedes} mosquito population suppression ⋮ A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period ⋮ Existence and stability of periodic solutions in a mosquito population suppression model with time delay ⋮ Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control ⋮ Modeling the dynamics ofWolbachia-infected and uninfectedAedes aegypti populations by delay differential equations ⋮ Global asymptotic stability in a delay differential equation model for mosquito population suppression ⋮ Analysis of impulse release of \textit{Wolbachia} to control \textit{Nilaparvata lugens} ⋮ COMPARING THE EFFICIENCY OF WOLBACHIA DRIVEN AEDES MOSQUITO SUPPRESSION STRATEGIES
Cites Work
- Structured and unstructured continuous models for \(Wolbachia\) infections
- Large amplitude stationary solutions to a chemotaxis system
- Geometric theory of semilinear parabolic equations
- Diffusion, self-diffusion and cross-diffusion
- ModelingWolbachiaSpread in Mosquitoes Through Delay Differential Equations
- Asymptotic behaviour of positive steady states to a predator—prey model
- Asymptotic behavior of a competition—diffusion system in population dynamics
- Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
- Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
