A time-periodic dengue fever model in a heterogeneous environment
From MaRDI portal
Publication:1997290
DOI10.1016/j.matcom.2017.12.008OpenAlexW2792566596MaRDI QIDQ1997290
Publication date: 2 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2017.12.008
asymptotic behaviortime periodicityspatial heterogeneitythe basic reproduction numberdengue fever model
Stability theory for ordinary differential equations (34Dxx) Genetics and population dynamics (92Dxx) Applications of dynamical systems (37Nxx) Smooth dynamical systems: general theory (37Cxx)
Related Items
Global stability analysis of a general nonlinear scabies dynamics model ⋮ Global properties of saturated chikungunya virus dynamics models with cellular infection and delays ⋮ On the role of vector modeling in a minimalistic epidemic model ⋮ Disease dynamics and optimal control strategies of a two serotypes dengue model with co-infection ⋮ Global dynamics of a dengue fever model incorporating transmission seasonality ⋮ Unnamed Item ⋮ Spatial dynamics and optimization method for a network propagation model in a shifting environment ⋮ A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment ⋮ A time-periodic and reaction-diffusion dengue fever model with extrinsic incubation period and crowding effects ⋮ Analysis for transmission of dengue disease with different class of human population ⋮ Transmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, China
Cites Work
- A time-periodic reaction-diffusion epidemic model with infection period
- Lyapunov functions for a dengue disease transmission model
- Modeling the spread and control of dengue with limited public health resources
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments
- Existence of periodic solutions for a \(p\)-Laplacian neutral functional differential equation with multiple variable parameters
- Analysis of a dengue disease transmission model
- Competitive exclusion in a vector-host model for the dengue fever
- Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
- The impact of human activity on the risk index and spatial spreading of dengue fever
- Stability and attractivity of periodic solutions of parabolic systems with time delays
- The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamics of a dengue fever transmission model with crowding effect in human population and spatial variation
- The risk index for an SIR epidemic model and spatial spreading of the infectious disease
- A simple periodic-forced model for dengue fitted to incidence data in Singapore
- The Mathematics of Infectious Diseases
- Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- ASSESSING THE EFFECTS OF TEMPERATURE AND DENGUE VIRUS LOAD ON DENGUE TRANSMISSION
- Spatial Ecology via Reaction‐Diffusion Equations
- Dynamical systems in population biology