A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading DOI Creative Commons
Iulia Martina Bulai, Mattia Sensi, Sara Sottile

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

We propose a novel slow-fast SIRS compartmental model with demography, by coupling slow disease spreading and fast information misinformation model. Beside the classes of susceptible, infected recovered individuals common model, here we define three new related to e.g. unaware individuals, misinformed who are skeptical disease-related misinformation. Under our assumptions, system evolves on two time scales. completely characterize its asymptotic behaviour techniques Geometric Singular Perturbation Theory (GSPT). exploit scale separation analyse lower dimensional subsystem separately. First, focus analysis dynamics find equilibrium point which feasible stable under specific conditions. perform theoretical bifurcation understand relations between these equilibria when varying parameters system. Secondly, evolution variables identify branches critical manifold, described fully each branch. Moreover, show how inclusion (mis)information spread may negatively or positively affect epidemic, depending whether second branch skeptical-free third one, misinformed-free equilibrium, respectively. conclude numerical simulations showcase analytical results.

Language: Английский

Singular perturbation analysis of a two-time scale model of vector-borne disease: Zika virus model as a case study DOI Creative Commons

Jenny Tuyet Tran,

Woldegebriel Assefa Woldegerima

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 194, P. 116209 - 116209

Published: March 4, 2025

Language: Английский

Citations

0
A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading DOI Creative Commons
Iulia Martina Bulai, Mattia Sensi, Sara Sottile

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 185, P. 115104 - 115104

Published: June 5, 2024

We propose a novel slow-fast SIRS compartmental model with demography, by coupling slow disease spreading and fast information misinformation model.Beside the classes of susceptible, infected recovered individuals common model, here we define three new related to e.g.unaware individuals, misinformed who are skeptical disease-related misinformation.Under our assumptions, system evolves on two time scales.We completely characterize its asymptotic behaviour techniques Geometric Singular Perturbation Theory (GSPT).We exploit scale separation analyse lower dimensional subsystem separately.First, focus analysis dynamics find equilibrium point which feasible stable under specific conditions.We perform theoretical bifurcation understand relations between these equilibria when varying parameters system.Secondly, evolution variables identify branches critical manifold, described system.We fully each branch.Moreover, show how inclusion (mis)information spread may negatively or positively affect epidemic, depending whether second branch skeptical-free third one, misinformed-free equilibrium, respectively.We conclude numerical simulations showcase analytical results.

Language: Английский

Citations

3
Slow passage through the Busse balloon – predicting steps on the Eckhaus staircase DOI Creative Commons

Anna Asch,

Montie Avery, Anthony Cortez

et al.

European Journal of Applied Mathematics, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 26

Published: April 16, 2024

Abstract Motivated by the impact of worsening climate conditions on vegetation patches, we study dynamic instabilities in an idealised Ginzburg–Landau model. Our main results predict time instances sudden drops wavenumber and resulting target states. The changes correspond to annihilation individual patches when resources are scarce cannot support original number patches. Drops happen well after primary pattern has destabilised at Eckhaus boundary key distinguishing between disappearance 1,2 or more during drop complex spatio-temporal resonances linearisation unstable pattern. We our with numerical simulations expect be conceptually applicable universally near boundary, particular realistic models.

Language: Английский

Citations

2
A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games DOI Creative Commons
Rossella Della Marca, Alberto d’Onofrio, Mattia Sensi

et al.

Nonlinear Analysis Real World Applications, Journal Year: 2023, Volume and Issue: 75, P. 103986 - 103986

Published: Aug. 17, 2023

In contemporary society, social networks accelerate decision dynamics causing a rapid switch of opinions in number fields, including the prevention infectious diseases by means vaccines. This that opinion can nowadays be much faster than spread epidemics. Hence, we propose Susceptible–Infectious–Removed epidemic model coupled with an evolutionary vaccination game embedding public health system efforts to increase vaccine uptake. results global "epidemic + game". The epidemiological novelty this work is assume switching strategy "pro vaccine" depends on incidence disease. As consequence above-mentioned accelerated decisions, acts two different scales: fast scale for decisions and slower Another, more methodological, element apply Geometrical Singular Perturbation Theory (GSPT) such two-scale then compare geometric analysis Quasi-Steady-State Approximation (QSSA) approach, showing criticality latter. Later, GSPT approach disease prevalence-based already studied (Della Marca d'Onofrio, Comm Nonl Sci Num Sim, 2021) via QSSA considering medium–large values parameter.

Language: Английский

Citations

4
Slow–fast dynamics in a neurotransmitter release model: Delayed response to a time-dependent input signal DOI
Mattia Sensi, Mathieu Desroches, Serafim Rodrigues

et al.

Physica D Nonlinear Phenomena, Journal Year: 2023, Volume and Issue: 455, P. 133887 - 133887

Published: Aug. 11, 2023

Language: Английский

Citations

2
Slow passage through a transcritical bifurcation in piecewise linear differential systems: Canard explosion and enhanced delay DOI

A. Pérez-Cervera,

Antonio E. Teruel

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2024, Volume and Issue: 135, P. 108044 - 108044

Published: April 27, 2024

Language: Английский

Citations

0
Delayed loss of stability of periodic travelling waves: Insights from the analysis of essential spectra DOI Creative Commons
Lukas Eigentler, Mattia Sensi

Journal of Theoretical Biology, Journal Year: 2024, Volume and Issue: unknown, P. 111945 - 111945

Published: Sept. 1, 2024

Language: Английский

Citations

0
Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal DOI Creative Commons
Mattia Sensi,

Mathieu Desroches,

Serafim Rodrigues

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

We propose a generalization of the neurotransmitter release model proposed in \emph{Rodrigues et al. (PNAS, 2016)}. increase complexity underlying slow-fast system by considering degree-four polynomial as parametrization critical manifold. focus on possible transient and asymptotic dynamics, exploiting so-called entry-exit function to describe slow parts dynamics. provide extensive numerical simulations, complemented bifurcation analysis.

Language: Английский

Citations

0
A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games DOI Creative Commons
Rossella Della Marca, Alberto d’Onofrio, Mattia Sensi

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

In contemporary society, social networks accelerate decision dynamics causing a rapid switch of opinions in number fields, including the prevention infectious diseases by means vaccines. This that opinion can nowadays be much faster than spread epidemics. Hence, we propose Susceptible-Infectious-Removed epidemic model coupled with an evolutionary vaccination game embedding public health system efforts to increase vaccine uptake. results global ``epidemic + game''. The epidemiological novelty this work is assume switching strategy ``pro vaccine'' depends on incidence disease. As consequence above-mentioned accelerated decisions, acts two different scales: fast scale for decisions and slower Another, more methodological, element apply Geometrical Singular Perturbation Theory (GSPT) such two-scale then compare geometric analysis Quasi-Steady-State Approximation (QSSA) approach, showing criticality latter. Later, GSPT approach disease prevalence-based already studied (Della Marca d'Onofrio, Comm Nonl Sci Num Sim, 2021) via QSSA considering medium-large values parameter.

Language: Английский

Citations

0
A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading DOI Creative Commons
Iulia Martina Bulai, Mattia Sensi, Sara Sottile

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

We propose a novel slow-fast SIRS compartmental model with demography, by coupling slow disease spreading and fast information misinformation model. Beside the classes of susceptible, infected recovered individuals common model, here we define three new related to e.g. unaware individuals, misinformed who are skeptical disease-related misinformation. Under our assumptions, system evolves on two time scales. completely characterize its asymptotic behaviour techniques Geometric Singular Perturbation Theory (GSPT). exploit scale separation analyse lower dimensional subsystem separately. First, focus analysis dynamics find equilibrium point which feasible stable under specific conditions. perform theoretical bifurcation understand relations between these equilibria when varying parameters system. Secondly, evolution variables identify branches critical manifold, described fully each branch. Moreover, show how inclusion (mis)information spread may negatively or positively affect epidemic, depending whether second branch skeptical-free third one, misinformed-free equilibrium, respectively. conclude numerical simulations showcase analytical results.

Language: Английский

Citations

0