Stability switches, Hopf bifurcation and chaotic dynamics in simple epidemic model with state-dependent delay
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Publication:6538837
DOI10.1142/S0218127423300288zbMATH Open1539.92165MaRDI QIDQ6538837
Jane M. Heffernan, Redouane Qesmi, Jianhong Wu
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
Epidemiology (92D30) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
Cites Work
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- On a differential equation with state-dependent delay. A center-unstable manifold connecting an equilibrium and a periodic orbit
- Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations
- Double Hopf bifurcation in delay differential equations
- A note on local center manifolds for differential equations with state-dependent delay.
- Smoothness properties of semiflows for differential equations with state-dependent delays
- Global analysis on delay epidemiological dynamic models with nonlinear incidence
- Permanence of a delayed SIR epidemic model with density dependent birth rate
- Global stability of an SIR epidemic model with constant infectious period
- Mathematical epidemiology.
- A tuberculosis model with seasonality
- Global Hopf bifurcation for differential equations with state-dependent delay
- Global stability for an SIR epidemic model with delay and nonlinear incidence
- Center-stable manifolds for differential equations with state-dependent delays
- Analysis of a delayed SIR model with nonlinear incidence rate
- Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Theory of functional differential equations. 2nd ed
- A local unstable manifold for differential equations with state-dependent delay
- A contribution to the mathematical theory of epidemics.
- Mathematical approaches for emerging and reemerging infectious diseases: An introduction. Proceedings of a tutorial Introduction to epidemiology and immunology. An overview to the IMA workshop on mathematical approaches for emerging and reemerging infectious diseases: Models, methods and theory. IMA program on mathematics in biology
- A delayed SIR model with general nonlinear incidence rate
- Linearized stability in periodic functional differential equations with state-dependent delays
- Solving ODEs and DDEs with residual control
- Global stability of an SIR epidemic model with time delay.
- Delay equations. Functional-, complex-, and nonlinear analysis
- Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods
- Stability and Hopf bifurcation for a delayed SIR epidemic model with logistic growth
- Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations
- An immuno-epidemiological model with threshold delay: a study of the effects of multiple exposures to a pathogen
- Models for the spread of universally fatal diseases
- Some topological invariants for three-dimensional flows
- Modelling cholesterol effects on the dynamics of the hypothalamic-pituitary-adrenal (HPA) axis
- A note on global implicit function theorems
- Complexity in the bifurcation structure of homoclinic loops to a saddle-focus
- Oscillation and Chaos in Physiological Control Systems
- Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays
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