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

и другие.

arXiv (Cornell University), Год журнала: 2023, Номер unknown

Опубликована: Янв. 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.

Язык: Английский

A Geometric Analysis of the SIRS Model with Secondary Infections DOI
Panagiotis Kaklamanos, Andrea Pugliese, Mattia Sensi

и другие.

SIAM Journal on Applied Mathematics, Год журнала: 2024, Номер 84(2), С. 661 - 686

Опубликована: Апрель 9, 2024

We propose a compartmental model for disease with temporary immunity and secondary infections.From our assumptions on the parameters involved in model, system naturally evolves three time scales.We characterize equilibria of analyze their stability.We find conditions existence two endemic equilibria, some cases which R0 < 1.Then, we unravel interplay scales, providing to foresee whether all or only fast intermediate ones.We conclude numerical simulations bifurcation analysis, complement analytical results.

Язык: Английский

Процитировано

7
A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading DOI Creative Commons
Iulia Martina Bulai, Mattia Sensi, Sara Sottile

и другие.

Chaos Solitons & Fractals, Год журнала: 2024, Номер 185, С. 115104 - 115104

Опубликована: Июнь 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.

Язык: Английский

Процитировано

3
Slow–fast dynamics in a neurotransmitter release model: Delayed response to a time-dependent input signal DOI
Mattia Sensi, Mathieu Desroches, Serafim Rodrigues

и другие.

Physica D Nonlinear Phenomena, Год журнала: 2023, Номер 455, С. 133887 - 133887

Опубликована: Авг. 11, 2023

Язык: Английский

Процитировано

3
A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading DOI Creative Commons
Iulia Martina Bulai, Mattia Sensi, Sara Sottile

и другие.

arXiv (Cornell University), Год журнала: 2023, Номер unknown

Опубликована: Янв. 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.

Язык: Английский

Процитировано

0