I am mainly interested in explaining the complex patterns of populations observed in nature. This observed complexity arises from at least three main components: the stochastic component, the non-linearity and the non-stationarity of underlying dynamics. Populational systems as all biological systems evolve in a sea of noise and despite these ubiquitous random effects regular patterns often emerge. The complexity of the interactions between individuals and populations make non-linearity ubiquitous in populational systems. Moreover, the dynamics of these systems more often appear as a succession of transients. All these features make a flawless description and understanding of these systems difficult.

Two main directions are explored. The first one concerns theoretical works around the interactions between stochasticity and non-linearity. Particularly I focus on the interest of new behavioral dynamics associated with weak transverse stability and on the influence of stochasticity on population synchrony. At each time, when it is (and will be) possible, some experimental designs are (and will be) used to test and to corroborate the theoretical results.

The second thematic is less theoretical and is related to the effects of climatic oscillations and climatic changes on population dynamics mainly in epidemiology and fisheries. My main contribution concerns the introduction of wavelet analysis in order to study discontinuous effects of climatic forcing on population dynamics.

More recently, my work has evolved toward the analysis of the evolution and the competition between different pathogen strains that appear very frequent in numerous infectious diseases. One again, I focus on the interactions between stochastic and non-linear mechanisms


       

I am mainly interested in explaining the complex patterns of populations observed in nature. This observed complexity arises from at least three main components: the stochastic component, the non-linearity and the non-stationarity of underlying dynamics. Populational systems as all biological systems evolve in a sea of noise and despite these ubiquitous random effects regular patterns often emerge. The complexity of the interactions between individuals and populations make non-linearity ubiquitous in populational systems. Moreover, the dynamics of these systems more often appear as a succession of transients. All these features make a flawless description and understanding of these systems difficult.

Two main directions are explored. The first one concerns theoretical works around the interactions between stochasticity and non-linearity. Particularly I focus on the interest of new behavioral dynamics associated with weak transverse stability and on the influence of stochasticity on population synchrony. At each time, when it is (and will be) possible, some experimental designs are (and will be) used to test and to corroborate the theoretical results.

The second thematic is less theoretical and is related to the effects of climatic oscillations and climatic changes on population dynamics mainly in epidemiology and fisheries. My main contribution concerns the introduction of wavelet analysis in order to study discontinuous effects of climatic forcing on population dynamics.

More recently, my work has evolved toward the analysis of the evolution and the competition between different pathogen strains that appear very frequent in numerous infectious diseases. One again, I focus on the interactions between stochastic and non-linear mechanisms


       

 
  1. Selection of recent publications 

  2. List of publications 

  3. Key words 

  4. My Wavelet tools 

  5. Dengue propagation in South-East Asia (movies)

  6. Cargèse Workshop on Chaos, Complexity and Dynamics in Biological Networks 

  7. A 3D chaotic attractor with 3 positive Lyapunov exponents    

  8. PhD students supervised (at least in part but with common publications):   

  9. *Gérard Boudjema

  10. *Stéphanie Jenouvrier

  11. *Hélène Broutin

  12. *Guillaume Constantin de Magny

  13. *Tristan Rouyer

  14. *Ana Corbineau

  15. *Sébastien Ballesteros

  16. *Tamara Ben Ari

  17. *Anton Camacho

  18. *Benoît Randuineau

  19. *Clara Champagne