Publications by authors named "Julien Fayard"
The presence of multiple foci in population patterns may be due to various processes arising in the population dynamics. Group dispersal, which has been lightly investigated for airborne species, is one of these processes. We built a stochastic model generating the dispersal of groups of particles.
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- The paper presents exact asymptotic estimates of spreading speeds in reaction-diffusion models within periodic environments that have large periods, filling a gap in previous research on slowly oscillating environments.
- Findings indicate that the spreading speeds in slowly oscillating environments are unexpectedly higher for certain models compared to the anticipated speeds from Shigesada-Kawasaki-Teramoto models.
- Additionally, it is established that in very slowly oscillating environments, the spreading speeds can reduce to zero due to strong Allee effects, highlighting the unique impact of environmental fragmentation on these models.