Stability analysis and optimal control of an epidemic model with vaccination
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Publication:5251666
DOI10.1142/S1793524515500308zbMath1314.34107MaRDI QIDQ5251666
G. P. Samanta, Swarnali Sharma
Publication date: 20 May 2015
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Optimality conditions for problems involving ordinary differential equations (49K15)
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Uses Software
Cites Work
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- Analysis of an extended HIV/AIDS epidemic model with treatment
- Threshold dynamics for compartmental epidemic models with impulses
- Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
- Global dynamics of an SEIRS epidemic model with periodic vaccination and seasonal contact rate
- Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
- Global stability of delay multigroup epidemic models with group mixing and nonlinear incidence rates
- On vaccination controls for the SEIR epidemic model
- Global stability of an epidemic model with latent stage and vaccination
- Global analysis of a vector-host epidemic model with nonlinear incidences
- Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay
- Dynamics of infection with nonlinear incidence in a simple vaccination model
- A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Backward bifurcation of an epidemic model with saturated treatment function
- From heroin epidemics to methamphetamine epidemics: modelling substance abuse in a south African province
- Influence of backward bifurcation in a model of hepatitis B and C viruses
- Backward bifurcations in dengue transmission dynamics
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Pulse vaccination strategy in the SIR epidemic model
- Global stability of an age-structure model for TB and its applications to optimal vaccination strategies
- A qualitative study of a vaccination model with non-linear incidence
- Analysis of a delayed chlamydia epidemic model with pulse vaccination
- Global stability of an epidemic model with nonlinear incidence rate and differential infectivity
- Dynamical models of tuberculosis and their applications
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Differential equations. Classical to controlled
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Backward bifurcations in simple vaccination models
- Modeling control strategies for concurrent epidemics of seasonal and pandemic H1N1 influenza
- Dynamical behaviour of an HIV/AIDS epidemic model
- Global analysis of an epidemic model with nonmonotone incidence rate
- Role of incidence function in vaccine-induced backward bifurcation in some HIV models
- Backward bifurcation of an epidemic model with treatment
- The Mathematics of Infectious Diseases
- ANALYSIS OF A CHLAMYDIA EPIDEMIC MODEL
- On the general structure of epidemic systems. Global asymptotic stability
- Elements of Mathematical Ecology
- Dynamics of a delayed epidemic model with varying immunity period and nonlinear transmission
- Optimal control of an HIV immunology model
- Non-linear incidence and stability of infectious disease models
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