Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment
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Publication:2684031
DOI10.1007/s00285-023-01867-yOpenAlexW4317936684MaRDI QIDQ2684031
Publication date: 15 February 2023
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-023-01867-y
threshold dynamicsbasic reproduction ratiospatial heterogeneitymosquito-borne disease modelasymptotic profiles and monotonicity
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Computational methods for problems pertaining to biology (92-08)
Related Items (6)
Spatial Segregation in Reaction-Diffusion Epidemic Models ⋮ The impacts of spatial-temporal heterogeneity of human-to-human contacts on the extinction probability of infectious disease from branching process model ⋮ On the role of advection in a spatial epidemic model with general boundary conditions ⋮ Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate ⋮ Traveling waves for a diffusive mosquito-borne epidemic model with general incidence ⋮ Aggregation and classification of spatial dynamics of vector-borne disease in advective heterogeneous environment
Cites Work
- Asymptotic behavior of the principal eigenvalue for cooperative elliptic systems and applications
- On a new perspective of the basic reproduction number in heterogeneous environments
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- An analysis of a mathematical model describing the geographic spread of dengue disease
- Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates
- Modeling and dynamics analysis of Zika transmission with limited medical resources
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Strong positivity in \(C(\bar\Omega)\) for elliptic systems
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Geometric theory of semilinear parabolic equations
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Global attractors and steady state solutions for a class of reaction-diffusion systems
- Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
- Impact of spatially heterogeneous temperature on the dynamics of dengue epidemics
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- The saturating contact rate in marriage- and epidemic models
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Viral diffusion and cell-to-cell transmission: mathematical analysis and simulation study
- On the global attractivity for a reaction-diffusion malaria model with incubation period in the vector population
- Transmission dynamics of Zika virus with spatial structure -- a case study in Rio de Janeiro, Brazil
- Spatial dynamics of a dengue transmission model in time-space periodic environment
- Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment
- A spatial SEIRS reaction-diffusion model in heterogeneous environment
- A time-periodic and reaction-diffusion dengue fever model with extrinsic incubation period and crowding effects
- Spatial-temporal risk index and transmission of a nonlocal dengue model
- A West Nile virus model with vertical transmission and periodic time delays
- Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
- \(R_0\) and sensitivity analysis of a predator-prey model with seasonality and maturation delay
- Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
- The epidemic threshold of vector-borne diseases with seasonality
- Dynamical systems and stability
- A reaction-diffusion model of vector-borne disease with periodic delays
- A simple periodic-forced model for dengue fitted to incidence data in Singapore
- Modeling rabies transmission in spatially heterogeneous environments via \(\theta \)-diffusion
- Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- Dissipativity and global attractors for a class of quasilinear parabolic systems
- Spatial Ecology via Reaction‐Diffusion Equations
- On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
- On a vector-host epidemic model with spatial structure
- Weakly Coupled Elliptic Systems and Positivity
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems
- Spatial Segregation in Reaction-Diffusion Epidemic Models
- Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment
- How Does Dispersal Affect the Infection Size?
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
- Traveling wave of a reaction-diffusion vector-borne disease model with nonlocal effects and distributed delay
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