Transmission dynamics of a reaction-advection-diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods
DOI10.1007/S00285-024-02089-6zbMATH Open1540.35245MaRDI QIDQ6536622
Publication date: 13 May 2024
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
global attractoradvectionbasic reproduction numberthreshold dynamicsdengue fever modelperiodic delays
Epidemiology (92D30) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51) Monotone flows as dynamical systems (37C65)
Cites Work
- Title not available (Why is that?)
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- Basic reproduction ratios for periodic compartmental models with time delay
- Mathematical assessment of the role of temperature and rainfall on mosquito population dynamics
- Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector
- A theoretical approach to understanding population dynamics with seasonal developmental durations
- Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
- On the delayed Ross-Macdonald model for malaria transmission
- Describing the geographic spread of dengue disease by traveling waves
- Analysis of a dengue disease transmission model
- A reaction-diffusion malaria model with seasonality and incubation period
- The evolution dynamics of an impulsive hybrid population model with spatial heterogeneity
- Aggregation and classification of spatial dynamics of vector-borne disease in advective heterogeneous environment
- Global dynamics and asymptotic profiles for a degenerate dengue fever model in heterogeneous environment
- On the global attractivity for a reaction-diffusion malaria model with incubation period in the vector population
- Threshold dynamics of a reaction-diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality
- A cross-infection model with diffusive environmental bacteria
- Threshold dynamics in a time-delayed periodic SIS epidemic model
- A time-periodic and reaction-diffusion dengue fever model with extrinsic incubation period and crowding effects
- Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
- Remarks on basic reproduction ratios for periodic abstract functional differential equations
- Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
- An SIR-dengue transmission model with seasonal effects and impulsive control
- Modelling diapause in mosquito population growth
- The epidemic threshold of vector-borne diseases with seasonality
- A spatial SIS model in advective heterogeneous environments
- A reaction-diffusion model of vector-borne disease with periodic delays
- Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality
- Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- ModelingWolbachiaSpread in Mosquitoes Through Delay Differential Equations
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Spatial Invasion Threshold of Lyme Disease
- Dynamical systems in population biology
- Dynamics of a reaction-advection-diffusion model for cholera transmission with human behavior change
- On the role of advection in a spatial epidemic model with general boundary conditions
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