On the dynamics of a class of multi-group models for vector-borne diseases
From MaRDI portal
Publication:276826
DOI10.1016/j.jmaa.2016.04.003zbMath1357.92071arXiv1409.1470OpenAlexW1487162843MaRDI QIDQ276826
Aberrahman Iggidr, Gauthier Sallet, Max O. Souza
Publication date: 4 May 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.1470
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Cites Work
- Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
- Global stability of multigroup dengue disease transmission model
- Global stability of an epidemic model for vector-borne disease
- Global dynamics of a dengue epidemic mathematical model
- Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators
- Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model
- Global stability for a class of virus models with cytotoxic T Lymphocyte immune response and antigenic variation
- Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global stability of two-group SIR model with random perturbation
- Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages
- The Ross-MacDonald model in a patchy environment
- Global stability of multi-group epidemic models with distributed delays
- Global-stability problem for coupled systems of differential equations on networks
- Global stability and persistence of simple food chains
- Stability of the endemic equilibrium in epidemic models with subpopulations
- Population dynamics of mosquito-borne disease: Persistence in a completely heterogeneous environment
- Global stability of predator-prey interactions
- Heterogeneity in disease-transmission modeling
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- A deterministic model for gonorrhea in a nonhomogeneous population
- Global stability in a class of prey-predator models
- On global stability of a predator-prey system
- Analysis of a dengue disease transmission model
- A Lyapunov function for Leslie-Gower predator-prey models
- The effects of human movement on the persistence of vector-borne diseases
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Global dynamics of a SEIR model with varying total population size
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- The effects of population heterogeneity on disease invasion
- An algebraic approach to proving the global stability of a class of epidemic models
- Global stability for a multi-group SIRS epidemic model with varying population sizes
- Impact of heterogeneity on the dynamics of an SEIR epidemic model
- Multiscale analysis for a vector-borne epidemic model
- Transmission dynamics for vector-borne diseases in a patchy environment
- A survey of constructing Lyapunov functions for mathematical models in population biology
- Epidemic dynamics of a vector-borne disease on a villages-and-city star network with commuters
- Epidemiological Models and Lyapunov Functions
- Two-Group Infection Age Model Including an Application to Nosocomial Infection
- Global Stability of Infectious Disease Models Using Lyapunov Functions
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Global Dynamics of a General Class of Multistage Models for Infectious Diseases
- $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
- Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model
- Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
- A graph-theoretic approach to the method of global Lyapunov functions
- Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
- Lyapunov functions and global properties for SEIR and SEIS epidemic models
- Qualitative Theory of Compartmental Systems
- THE DETERMINISTIC MODEL OF A SIMPLE EPIDEMIC FOR MORE THAN ONE COMMUNITY
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
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- Unnamed Item
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