Embedded Files
Paper SCIRS (SEIRS) model: Phys. Rev. E 107, 044207 (2023) arXiv:2210.09912
Animations (single random walk realization)
(I) parameters, see paper Fig. 9 MP4 GIF
(II) parameters, see paper Fig. 6(b) MP4 GIF
(III) parameters, see paper Fig. 10(a) MP4 GIF
(IV) Comparision SCIRS with and without superspreaders MP4
Presentations
SLIDES ERCOFTAC SIG Workshop Marseille 22-23 May 2023
SLIDES Seminar BTU Cottbus July 2023
SLIDES SEMINAR LMFA Lyon September 2023
SLIDES OTTOCHAOS Toulouse 9-11 October 2023
SLIDES ICAMCS Venice, September 27-29, 2025
Random Walk Simulations on Complex Graphs (visited nodes marked in color)
Spreading in complex graphs with mortality of random walkers
Paper of this model:
Entropy 2024 , Volume 26, Issue 5, 362
Animation video:
Spreading in Watts-Strogatz graph with mortality of walkers
Codes:
CODE SISI Version -- 5 December 2023
CODE SISI -- Version 29 Feb 2024
CODE SISI Version 1 March 2024
CODES SISI MODEL VERSION 16 April 2024
Further animation videos:
Animation of spreading in Watts-Strogatz graph with mortality of walkers (1 March 2024)
Animation of spreading in WS graph without mortality (1 March 2024)
Animation of spreading in Barabási-Albert graph with mortality (14 March 2024)
SLIDES 27e rencontre du non-linéaire, Paris Cité 18-20 mars 2024
SLIDES 29th International Conference on Difference Equations and
Applications ICDEA 2024 --> Link to the conference
SEIRS(D) RANDOM WALK MODEL in complex graphs
Animation video Spreading (SEID model) with mortality of walkers
Animation video Spreading (SEID model) with mortality and resetting
CODES (JANUARY 2025) : SEIRS-D random walk dynamics with resetting
Animation video S-->E-->I-->R-->S Dynamics on WS Graph without mortality
and CODE
Animation with mortality and resetting
blue S, yellow E, red I, green R walkers, infection if S meets I walker
and CODE
SLIDES 28e Rencontre du Nonlinéaire -- Université Paris Cité 25-27 mars 2025
SEIRS-SEID model
simulation Code
SLIDES ICAMCS 2025 conference -- Venice, Italy, September 27-29, 2025
SLIDES PANDEMICS ANALYTICS 2025 -- Barcelona, Spain, October 26-30, 2025
SEIRS-SEID model PYTHON CODES for power-law distributed immunity time
For more information contact : michel@lmm.jussieu.fr
Chaotic attractors are found in a modified S-C-I-S model
A few preliminary results (details soon)
Animations for approach of an attractor from different initial conditions:
Left plot: J over S Runge-Kutta (RK4) solution
Right plot: Ljapunov exponent (finite time approximation)
Left plot: J over S attractor of animation 3.
The same attractor is approached from different initial conditions in animations 1 and 2.
Right plot: Ljapunov exponent (finite time approximation)
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