Bifurcations of an SIRS epidemic model with nonlinear incidence rate
From MaRDI portal
Publication:628784
DOI10.3934/dcdsb.2011.15.93zbMath1207.92040OpenAlexW2314339603WikidataQ57898014 ScholiaQ57898014MaRDI QIDQ628784
Ping Bi, Wanbiao Ma, Zhixing Hu, Shigui Ruan
Publication date: 7 March 2011
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2011.15.93
Epidemiology (92D30) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Bifurcation theory of functional-differential equations (34K18)
Related Items (42)
Global Dynamics of an SIRSI Epidemic Model with Discrete Delay and General Incidence Rate ⋮ Global stability analysis of an SVEIR epidemic model with general incidence rate ⋮ Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate ⋮ Traveling waves of a diffusive epidemic model with nonlinear infection forces ⋮ Stability analysis of an SEIRS epidemic model with relapse, immune and general incidence rates ⋮ Deciphering Dynamics of Epidemic Spread: The Case of Influenza Virus ⋮ Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity ⋮ Threshold dynamics of an SIRS model with nonlinear incidence rate and transfer from infectious to susceptible ⋮ Spreading speed for a nonlocal dispersal vaccination model with general incidence ⋮ Global asymptotic stability of a generalized SEIRS epidemic model ⋮ Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate ⋮ Bifurcation of a heroin model with nonlinear incidence rate ⋮ Dynamical analysis of a diffusive SIRS model with general incidence rate ⋮ Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate ⋮ Saddle-node bifurcation and Bogdanov-Takens bifurcation of a SIRS epidemic model with nonlinear incidence rate ⋮ Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate ⋮ Canard Phenomenon in an SIRS Epidemic Model with Nonlinear Incidence Rate ⋮ Bifurcations of an SIRS epidemic model with a general saturated incidence rate ⋮ Influence of relapse in a giving up smoking model ⋮ Hopf bifurcation of the age-structured SIRS model with the varying population sizes ⋮ Analysis of SIR epidemic models with nonlinear incidence rate and treatment ⋮ Bifurcations of an SIRS model with generalized non-monotone incidence rate ⋮ Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations ⋮ BIFURCATION ANALYSIS OF AN SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATE AND SATURATED TREATMENT FUNCTION ⋮ The bifurcation analysis of an SIRS epidemic model with immunity age and constant treatment ⋮ Traveling waves for a nonlocal dispersal SIR model with general nonlinear incidence rate and spatio-temporal delay ⋮ Nonlinear dynamics of infectious diseases via information-induced vaccination and saturated treatment ⋮ Nonautonomous Dynamical Systems in the Life Sciences ⋮ Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates ⋮ Bifurcation of Codimension 3 in a Predator–Prey System of Leslie Type with Simplified Holling Type IV Functional Response ⋮ Stability and bifurcation analysis of epidemic models with saturated incidence rates: an application to a nonmonotone incidence rate ⋮ Traveling waves in an SEIR epidemic model with a general nonlinear incidence rate ⋮ Threshold dynamics of an SEIR epidemic model with a nonlinear incidence rate and a discontinuous treatment function ⋮ Hopf bifurcation of a delay SIRS epidemic model with novel nonlinear incidence: Application to scarlet fever ⋮ Complex dynamics of a SIRS epidemic model with the influence of hospital bed number ⋮ First order coupled systems with functional and periodic boundary conditions: existence results and application to an SIRS model ⋮ Relaxation oscillation and canard explosion for a SIRS model with nonlinear incidence rate ⋮ Bogdanov–Takens Bifurcation of a Class of Delayed Reaction–Diffusion System ⋮ Global stability of an SEIQV epidemic model with general incidence rate ⋮ Double zero singularity and spatiotemporal patterns in a diffusive predator-prey model with nonlocal prey competition ⋮ Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity ⋮ Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate
This page was built for publication: Bifurcations of an SIRS epidemic model with nonlinear incidence rate
