Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate
From MaRDI portal
Publication:3304352
DOI10.1080/17513758.2020.1718222zbMath1448.92339OpenAlexW3015500532WikidataQ91851390 ScholiaQ91851390MaRDI QIDQ3304352
Publication date: 31 July 2020
Published in: Journal of Biological Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17513758.2020.1718222
Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems with randomness (34F05) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm
- Infectious disease models with time-varying parameters and general nonlinear incidence rate
- Pulse and constant control schemes for epidemic models with seasonality
- Melnikov analysis of chaos in a simple epidemiological model
- Melnikov analysis of chaos in a general epidemiological model
- Seasonal dynamics and thresholds governing recurrent epidemics
- Analysis and control of an SEIR epidemic system with nonlinear transmission rate
- Global dynamics of a class of SEIRS epidemic models in a periodic environment
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Global bifurcations and chaos. Analytical methods
- Bifurcation analysis of periodic SEIR and SIR epidemic models
- External forcing of ecological and epidemiological systems: a resonance approach
- A simple SIS epidemic model with a backward bifurcation
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
- Homoclinic bifurcation and chaos in simple pendulum under bounded noise excitation
- The effects of seasonal forcing on invertebrate-disease interactions with immune priming
- Seasonal dynamics in an SIR epidemic system
- An SIRS model with a nonlinear incidence rate
- Periodicity in an epidemic model with a generalized non-linear incidence
- Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
- Models for transmission of disease with immigration of infectives
This page was built for publication: Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate