Qualitative analysis of delayed SIR epidemic model with a saturated incidence rate
From MaRDI portal
Publication:1953670
DOI10.1155/2012/408637zbMath1269.34088OpenAlexW2120145525WikidataQ58702772 ScholiaQ58702772MaRDI QIDQ1953670
Publication date: 10 June 2013
Published in: International Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/408637
Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)
Related Items
Stability analysis and prevention strategies of tobacco smoking model ⋮ Mathematical study of SIR epidemic model under convex incidence rate ⋮ Periodic pulse control of Hopf bifurcation in a fractional-order delay predator-prey model incorporating a prey refuge ⋮ Bifurcation control of a delayed fractional-order prey-predator model with cannibalism and disease ⋮ Transmissibility of epidemic diseases caused by delay with local proportional fractional derivative ⋮ Bifurcation from an Epidemic Model in the Presence of Memory Effects ⋮ Modified ADMM algorithm for solving proximal bound formulation of multi-delay optimal control problem with bounded control ⋮ Time delays and economic profit in fractional differential‐algebraic predator–prey model ⋮ The COVID-19 pandemic as inspiration to reconsider epidemic models: a novel approach to spatially homogeneous epidemic spread modeling ⋮ Hopf bifurcation in a networked delay SIR epidemic model ⋮ A fractional-order epidemic model with time-delay and nonlinear incidence rate ⋮ Oscillation criteria for delay and advanced differential equations with nonmonotone arguments ⋮ Dynamics analysis of a stochastic SIR epidemic model ⋮ Optimal control of an epidemiological model with multiple time delays ⋮ Mathematical model of malaria transmission dynamics with distributed delay and a wide class of nonlinear incidence rates ⋮ Unnamed Item ⋮ Stability of fractional-order prey-predator system with time-delay and Monod-Haldane functional response
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Stability of a delayed SIRS epidemic model with a nonlinear incidence rate
- Global dynamics of a dengue epidemic mathematical model
- Dynamics of a delayed epidemic model with non-monotonic incidence rate
- Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
- Complete global stability for an SIR epidemic model with delay - distributed or discrete
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Integral equation models for endemic infectious diseases
- Introduction to functional differential equations
- Global asymptotic properties of a delay SIR epidemic model with finite incubation times
- A simple epidemic model with surprising dynamics
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
- An SIS epidemic model with variable population size and a delay
- Vaccinating behaviour, information, and the dynamics of SIR vaccine preventable diseases
- Global analysis of an epidemic model with nonmonotone incidence rate
- Bifurcation Thresholds in an SIR Model with Information-Dependent Vaccination
- Mathematical Structures of Epidemic Systems
- Numerical Treatments for Volterra Delay Integro-differential Equations
- GLOBAL SPREAD OF INFECTIOUS DISEASES
- A DELAY-DIFFERENTIAL EQUATION MODEL OF HIV INFECTION OF CD4+ T-CELLS
- Implementing Radau IIA methods for stiff delay differential equations