Modeling and analysis of the transmission dynamics of tuberculosis without and with seasonality
From MaRDI portal
Publication:437360
DOI10.1007/s11071-011-0127-yzbMath1242.92039OpenAlexW2000886769MaRDI QIDQ437360
Publication date: 17 July 2012
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-011-0127-y
Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)
Related Items
Role of additional food in eco-epidemiological system with disease in the prey ⋮ Bifurcation analysis of a turbidostat model with distributed delay ⋮ Bifurcation of a heroin model with nonlinear incidence rate ⋮ Modeling the effects of spatial heterogeneity and seasonality on Guinea worm disease transmission ⋮ Periodic solutions of an epidemic model with saturated treatment ⋮ Effects of allochthonous inputs in the control of infectious disease of prey ⋮ Theoretical assessment of the relative incidences of sensitive and resistant tuberculosis epidemic in presence of drug treatment ⋮ Optimal control strategies for tuberculosis dynamics with exogenous reinfections in case of treatment at home and treatment in hospital ⋮ Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates ⋮ Global analysis of tuberculosis dynamical model and optimal control strategies based on case data in the United States
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal control of the transmission dynamics of tuberculosis
- Mathematical analysis of a tuberculosis model with differential infectivity
- Global stability analysis for SEIS models with \(n\) latent classes
- Threshold dynamics for compartmental epidemic models in periodic environments
- Tuberculosis transmission model with chemoprophylaxis and treatment
- A tuberculosis model with seasonality
- Modeling the joint epidemics of TB and HIV in a South African township
- To treat or not to treat: The case of tuberculosis
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- External forcing of ecological and epidemiological systems: a resonance approach
- Dynamical models of tuberculosis and their applications
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Comparing epidemic tuberculosis in demographically distinct heterogeneous populations
- Backward bifurcations in simple vaccination models
- Lyapunov functions for tuberculosis models with fast and slow progression
- General models of host-parasite systems. Global analysis.
- Role of incidence function in vaccine-induced backward bifurcation in some HIV models
- Stability theory for ordinary differential equations
- The Mathematics of Infectious Diseases
- Mathematical Structures of Epidemic Systems
- Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- Qualitative Theory of Compartmental Systems
- A model for tuberculosis with exogenous reinfection
