Global stability for SIRS epidemic models with general incidence rate and transfer from infectious to susceptible

DOI10.1007/s40590-018-0211-0zbMath1428.34065arXiv1707.06601OpenAlexW2963185066MaRDI QIDQ2010845

Ángel G. C. Pérez, E. J. Avila-Vales

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06601

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Lyapunov functions for fractional-order systems in biology: methods and applications ⋮ Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate ⋮ Model discovery of compartmental models with graph-supported neural networks ⋮ Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate ⋮ Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment

Cites Work

• Unnamed Item
• Unnamed Item
• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• An epidemic model with different distributed latencies and nonlinear incidence rate
• Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
• A new Lyapunov function for SIRS epidemic models
• Stability of a delayed SIRS epidemic model with a nonlinear incidence rate
• On the Lyapunov stability for SIRS epidemic models with general nonlinear incidence rate
• Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
• A delayed epidemic model with pulse vaccination
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamic models of infectious diseases as regulators of population sizes
• Qualitative analyses of communicable disease models
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• On the global stability of SIS, SIR and SIRS epidemic models with standard incidence
• Threshold dynamics of an SIRS model with nonlinear incidence rate and transfer from infectious to susceptible
• Global properties of infectious disease models with nonlinear incidence
• The impact of media on the control of infectious diseases
• Global stability for an special SEIR epidemic model with nonlinear incidence rates
• The Mathematics of Infectious Diseases
• GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
• Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
• GLOBAL ASYMPTOTIC STABILITY OF A GENERALIZED SIRS EPIDEMIC MODEL WITH TRANSFER FROM INFECTIOUS TO SUSCEPTIBLE
• Non-linear incidence and stability of infectious disease models

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