Nonlinear dynamics of a time-delayed epidemic model with two explicit aware classes, saturated incidences, and treatment

DOI10.1007/s11071-020-05762-9zbMath1517.92030OpenAlexW3038891084WikidataQ98660011 ScholiaQ98660011MaRDI QIDQ6132351

Kanica Goel, Murray E. Alexander Nilam, Abhishek Kumar

Publication date: 16 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05762-9

zbMATH Keywords

stabilitytime delaybifurcationsnumerical simulationsfull and partial awarenessnonlinear incidences and treatment rates

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Simulation of dynamical systems (37M05)

Related Items (5)

Stability analysis of a logistic growth epidemic model with two explicit time-delays, the nonlinear incidence and treatment rates ⋮ Dynamics of a nonlinear epidemic transmission model incorporating a class of hospitalized individuals: a qualitative analysis and simulation ⋮ Theoretical analysis of a measles model with nonlinear incidence functions ⋮ Assessing the impact of contact tracing, quarantine and red zone on the dynamical evolution of the Covid-19 pandemic using the cellular automata approach and the resulting mean field system: a case study in Mauritius ⋮ Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies

Cites Work

• Unnamed Item
• Dynamics of an SIR epidemic model with limited medical resources revisited
• Multiple sources and routes of information transmission: implications for epidemic dynamics
• Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}\) T-cells
• Awareness programs control infectious disease -- multiple delay induced mathematical model
• The impact of information transmission on epidemic outbreaks
• Analysis of a delayed SIR model with nonlinear incidence rate
• Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stability analysis for a vector disease model
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Introduction to functional differential equations
• Bifurcations in an epidemic model with constant removal rate of the infectives
• Mathematical biology. Vol. 1: An introduction.
• The impact of awareness programs with recruitment and delay on the spread of an epidemic
• Endemic disease, awareness, and local behavioural response
• Effect of awareness programs on the epidemic outbreaks with time delay
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• An SIS epidemic model with variable population size and a delay
• Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates
• A deterministic time-delayed SVIRS epidemic model with incidences and saturated treatment
• An SIRS epidemic model incorporating media coverage with time delay
• Mathematical analysis of a delayed epidemic model with nonlinear incidence and treatment rates
• The effect of time delay in plant-pathogen interactions with host demography
• EFFECT OF AWARENESS PROGRAMS IN CONTROLLING THE PREVALENCE OF AN EPIDEMIC WITH TIME DELAY
• MODELING AND ANALYSIS OF AN SEIR MODEL WITH DIFFERENT TYPES OF NONLINEAR TREATMENT RATES
• THE IMPACT OF MEDIA COVERAGE ON THE DYNAMICS OF INFECTIOUS DISEASE
• A Simple Proof of Descartes's Rule of Signs
• Stability of a Time Delayed SIR Epidemic Model Along with Nonlinear Incidence Rate and Holling Type-II Treatment Rate
• Role of media and treatment on an SIR model
• A delayed SIR epidemic model with a general incidence rate
• A DELAY-DIFFERENTIAL EQUATION MODEL OF HIV INFECTION OF CD4+ T-CELLS

This page was built for publication: Nonlinear dynamics of a time-delayed epidemic model with two explicit aware classes, saturated incidences, and treatment