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Asymmetric autocatalytic reactions and their stationary distribution

Author(s): Gallinger C; Popovic L;

We consider a general class of autocatalytic reactions, which has been shown to display stochastic switching behaviour (discreteness-induced transitions (DITs)) in some parameter regimes. This behaviour was shown to occur either when the overall species count is low or when the rate of inflow and outflow of species is relatively much smaller than the rate ...

Article GUID: 39679357


Pushed to the edge: Spatial sorting can slow down invasions

Author(s): Shaw AK; Lutscher F; Popovic L;

Our ability to understand population spread dynamics is complicated by rapid evolution, which renders simple ecological models insufficient. If dispersal ability evolves, more highly dispersive individuals may arrive at the population edge than less dispersive individuals (spatial sorting), accelerating spread. If individuals at the low-density population ...

Article GUID: 37198882


Diffusion dynamics on the coexistence subspace in a stochastic evolutionary game

Author(s): Popovic L; Peuckert L;

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics with fluctuations due to random drift. A selection advantage which depends on a changing environment will introduce add ...

Article GUID: 32025789


How spatial heterogeneity shapes multiscale biochemical reaction network dynamics.

Author(s): Pfaffelhuber P, Popovic L

J R Soc Interface. 2015 Mar 06;12(104):20141106 Authors: Pfaffelhuber P, Popovic L

Article GUID: 25652460


Topology and inference for Yule trees with multiple states.

Author(s): Popovic L, Rivas M

J Math Biol. 2016 11;73(5):1251-1291 Authors: Popovic L, Rivas M

Article GUID: 27009067


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