Stability and Hopf bifurcation for an epidemic disease model with delay
From MaRDI portal
Publication:936763
DOI10.1016/j.chaos.2005.08.167zbMath1165.34048OpenAlexW2022276648MaRDI QIDQ936763
Chengjun Sun, Yiping Lin, Mao'an Han
Publication date: 19 August 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.167
Epidemiology (92D30) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) 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) Invariant manifolds of functional-differential equations (34K19)
Related Items (33)
Stability and Hopf bifurcation analysis on a predator-prey model with discrete and distributed delays ⋮ Relaxation oscillations in predator-prey model with distributed delay ⋮ Stability and Hopf bifurcation for a delayed predator-prey model with disease in the prey ⋮ Bifurcation analysis of an SIS epidemic model with nonlinear birth rate ⋮ Bifurcations of a class of singular biological economic models ⋮ Synchronization threshold of a coupled \(n\)-dimensional time-delay system ⋮ Stability and bifurcation of an SIS epidemic model with treatment ⋮ Hopf bifurcation in a partial dependent predator-prey system with delay ⋮ Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector ⋮ On the dynamics of a diabetic population model with two delays and a general recovery rate of complications ⋮ Freely-Moving Delay Induces Periodic Oscillations in a Structured SEIR Model ⋮ Dynamics of populations in fish farm: analysis of stability and direction of Hopf-bifurcating periodic oscillation ⋮ On the stability and Hopf bifurcation of a delay-induced predator-prey system with habitat complexity ⋮ Dynamical analysis in a delayed predator-prey model with two delays ⋮ The effect of time delay in a two-patch model with random dispersal ⋮ Stability and bifurcation analysis of a modified epidemic model for computer viruses ⋮ A modified nonlinear POD method for order reduction based on transient time series ⋮ Complexity in a predator-prey-parasite model with nonlinear incidence rate and incubation delay ⋮ Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure ⋮ Stability and bifurcation analysis in a delayed SIR model ⋮ Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system ⋮ Bifurcation and chaos in a ratio-dependent predator-prey system with time delay ⋮ Stability and bifurcation analysis of a delayed predator-prey model of prey dispersal in two-patch environments ⋮ Bifurcation analysis in single-species population model with delay ⋮ STABILITY AND HOPF BIFURCATION FOR AN ECO-EPIDEMIOLOGY MODEL WITH HOLLING-III FUNCTIONAL RESPONSE AND DELAYS ⋮ The effect of time delay on the dynamics of an SEIR model with nonlinear incidence ⋮ Unnamed Item ⋮ Slow-fast dynamics of Hopfield spruce-budworm model with memory effects ⋮ A generalized predator-prey system with multiple discrete delays and habitat complexity ⋮ Hopf bifurcation control in a delayed predator-prey system with prey infection and modified Leslie-Gower scheme ⋮ SIMPLE MEMRISTIVE TIME-DELAY CHAOTIC SYSTEMS ⋮ Bifurcation and optimal control analysis of delayed models for huanglongbing ⋮ A ratio-dependent predator-prey model with Allee effect and disease in prey
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Absolute stability in delay equations
- Introduction to functional differential equations
- The influence of diseases on Lotka-Volterra systems
- Competition in the chemostat: convergence of a model with delayed response in growth.
- Stability and Hopf bifurcation for a delay competition diffusion system.
- Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations.
- The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays
- Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
- Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
- Hopf bifurcation in REM algorithm with communication delay
- Nonlinear Oscillations in Epidemic Models
- A predator-prey model with disease in the prey
This page was built for publication: Stability and Hopf bifurcation for an epidemic disease model with delay
