Modeling the impact of immigration on the epidemiology of tuberculosis

DOI10.1016/j.tpb.2007.12.007zbMath1210.92042OpenAlexW2052657446WikidataQ47929725 ScholiaQ47929725MaRDI QIDQ615462

Sumit K. Garg

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2007.12.007

zbMATH Keywords

global asymptotic stabilitytuberculosisendemic equilibriumthreshold parameterimmigrant

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (10)

Modeling toxoplasmosis spread in cat populations under vaccination ⋮ Periodic and almost periodic oscillations in a delay differential equation system with time-varying coefficients ⋮ Modeling the spread of tuberculosis in semiclosed communities ⋮ Epidemiological models of Mycobacterium tuberculosis complex infections ⋮ Modeling the dynamics of an epidemic under vaccination in two interacting populations ⋮ Influence of temporary migration on the transmission of infectious diseases in a migrants' home village ⋮ The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country ⋮ Modeling the effects of vaccination and treatment on tuberculosis transmission dynamics ⋮ Hopf Bifurcation in a Mathematical Model of Tuberculosis with Delay ⋮ Global analysis of tuberculosis dynamical model and optimal control strategies based on case data in the United States

Cites Work

• Global analysis of two tuberculosis models
• The reinfection threshold
• The effect of vaccinations in an immigrant model
• Integral equation models for endemic infectious diseases
• Logarithmic norms and projections applied to linear differential systems
• To treat or not to treat: The case of tuberculosis
• Global dynamics of a SEIR model with varying total population size
• Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• A Geometric Approach to Global-Stability Problems
• A model for tuberculosis with exogenous reinfection
• Models for transmission of disease with immigration of infectives
• Global stability of an SEIS epidemic model with recruitment and a varying total population size
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