4 papers
Seasonal Forcing in Rock-Paper-Scissors Population Dynamics
Idan Sorin, Michael Zaks, Alexander Nepomnyashchy
We study a class of cyclic dominance models with seasonal forcing, extending the classical May-Leonard competition framework. By introducing time-periodic coefficients into the gro…
Spectral Stability Correspondence between Networks and Continuous Media: Theory and Applications to Population Dynamics
Idan Sorin, Alexander Nepomnyashchy
We investigate the stability of synchronized oscillations in coupled nonlinear systems by establishing a spectral correspondence between continuous linear shift-invariant (LSI) med…
Stability of oscillations in the spatially extended May-Leonard model
Idan Sorin, Alexander Nepomnyashchy, Vladimir Volpert
The May-Leonard model for three competing species, symmetric with respect to cyclic permutation of the variables and extended by diffusive terms, is considered. Exact time-periodic…
Infinite Bifurcations in Thomas system
Idan Sorin, Michael Tulchinsky
In this paper we are going to make an analytical and numerical analysis for the Thomas system. Physically, this system describes a particle, driving by a system of oscillators, dis…