On the dynamics of an SEIR epidemic model with a convex incidence rate
From MaRDI portal
Publication:661126
DOI10.1007/s11587-008-0039-4zbMath1232.34061OpenAlexW2054261535MaRDI QIDQ661126
Deborah Lacitignola, Bruno Buonomo
Publication date: 18 February 2012
Published in: Ricerche di Matematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11587-008-0039-4
Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Global stability of solutions to ordinary differential equations (34D23)
Related Items (32)
Modeling and analysis of an \(SI_1I_2R\) epidemic model with nonlinear incidence and general recovery functions of \(I_1\) ⋮ A non-autonomous SEIRS model with general incidence rate ⋮ Dynamical analysis and perturbation solution of an SEIR epidemic model ⋮ Stability and bifurcation in plant-pathogens interactions ⋮ Global stability and vaccination of an SEIVR epidemic model with saturated incidence rate ⋮ Analysis of a tuberculosis model with a case study in Uganda ⋮ Unnamed Item ⋮ Variable step length algorithms with high-order extrapolated non-standard finite difference schemes for a SEIR model ⋮ Forces of infection allowing for backward bifurcation in an epidemic model with vaccination and treatment ⋮ Influence of diffusion on the stability of equilibria in a reaction-diffusion system modeling cholera dynamic ⋮ On the stability of a SEIR reaction diffusion model for infections under Neumann boundary conditions ⋮ Optimal social distancing through cross-diffusion control for a disease outbreak PDE model ⋮ Dynamics and control of COVID-19 pandemic with nonlinear incidence rates ⋮ SIRC epidemic model with cross-immunity and multiple time delays ⋮ Harmonic mean type dynamics of a delayed giving up smoking model and optimal control strategy via legislation ⋮ Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate ⋮ Global stability for an HIV-1 infection model including an eclipse stage of infected cells ⋮ Backward bifurcation in a stage-structured epidemic model ⋮ Modelling alcohol problems: total recovery ⋮ On the nonlinear stability of an epidemic SEIR reaction-diffusion model ⋮ Modeling peer influence effects on the spread of high-risk alcohol consumption behavior ⋮ Qualitative analysis and optimal control of an epidemic model with vaccination and treatment ⋮ On the dynamics of a vaccination model with multiple transmission ways ⋮ An SIRS epidemic model incorporating media coverage with time delay ⋮ An SLBRS model with vertical transmission of computer virus over the Internet ⋮ Global analysis of an epidemic model with vaccination ⋮ Approximate solution and analysis of smoking epidemic model with Caputo fractional derivatives ⋮ Unnamed Item ⋮ On the Z-type control of backward bifurcations in epidemic models ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Study of transmission dynamics of novel COVID-19 by using mathematical model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
- Global stability of an SEIR epidemic model with constant immigration
- On the use of the geometric approach to global stability for three dimensional ODE systems: A bilinear case
- Global stability of an SIR epidemic model with information dependent vaccination
- Avian-human influenza epidemic model
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Permanence and the dynamics of biological systems
- Logarithmic norms and projections applied to linear differential systems
- A deterministic model for gonorrhea in a nonhomogeneous population
- A generalization of the Kermack-McKendrick deterministic epidemic model
- On Bendixson's criterion
- Uniform persistence and flows near a closed positively invariant set
- Backward bifurcation in epidemic control
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- A simple vaccination model with multiple endemic states
- A simple SIS epidemic model with a backward bifurcation
- Negative criteria for the existence of periodic solutions in a class of delay-differential equations
- Dynamical models of tuberculosis and their applications
- Global stability for the SEIR model in epidemiology
- Core recruitment effects in SIS models with constant total populations
- Global dynamics of a SEIR model with varying total population size
- Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Nonexistence of periodic solutions in delayed Lotka--Volterra systems.
- On R. A. Smith's autonomous convergence theorem
- A core group model for disease transmission
- Compound matrices and ordinary differential equations
- Global analysis of an epidemic model with nonmonotone incidence rate
- Global properties of infectious disease models with nonlinear incidence
- Resistance mechanisms matter in SIR models
- Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period
- Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
- Backward bifurcation of an epidemic model with treatment
- An SIRS model with a nonlinear incidence rate
- General conditions for global stability in a single species population-toxicant model
- Vaccination policies and nonlinear force of infection: generalization of an observation by Alexander and Moghadas (2004)
- The Mathematics of Infectious Diseases
- Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
- Mathematical Structures of Epidemic Systems
- Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
- A GLOBAL STABILITY RESULT FOR A CERTAIN BILINEAR SYSTEM
- Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- A Geometric Approach to Global-Stability Problems
- Global stability of an SEIS epidemic model with recruitment and a varying total population size
This page was built for publication: On the dynamics of an SEIR epidemic model with a convex incidence rate
