Stability switches via endemic bubbles in a COVID-19 model examining the effect of mask usage and saturated treatment with reinfection
DOI10.1007/s12190-024-02073-9zbMATH Open1542.92152MaRDI QIDQ6586165
Asish Adak, Praveen Kumar Gupta, Arpita Devi
Publication date: 12 August 2024
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
saddle-node bifurcationHopf bifurcationbistabilityendemic bubblebackward bifurcationforward hysteresis
Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)
Cites Work
- Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate
- Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
- Backward bifurcation of an epidemic model with saturated treatment function
- Elements of applied bifurcation theory.
- Criterion of Hopf bifurcations without using eigenvalues
- Uniform persistence and flows near a closed positively invariant set
- A contribution to the mathematical theory of epidemics.
- Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment
- An introduction to mathematical modeling of infectious diseases
- Dynamical models of tuberculosis and their applications
- Global stability for the SEIR model in epidemiology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- On R. A. Smith's autonomous convergence theorem
- A mathematical model for the impacts of face mask, hospitalization and quarantine on the dynamics of COVID-19 in India: deterministic vs. stochastic
- Oscillations and hysteresis in an epidemic model with information-dependent imperfect vaccination
- Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative
- Modeling and prediction of the third wave of COVID-19 spread in India
- Occurrence of backward bifurcation and prediction of disease transmission with imperfect lockdown: a case study on COVID-19
- Endemic bubble and multiple cusps generated by saturated treatment of an SIR model through Hopf and Bogdanov-Takens bifurcations
- Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment
- Forward hysteresis and backward bifurcation caused by culling in an avian influenza model
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Role of media and treatment on an SIR model
- An Introduction to Mathematical Epidemiology
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