Theoretical studies from diverse areas of population biology have shown that demographic
stochasticity can substantially impact evolutionary dynamics in finite populations, including …

Consistent observations across recording modalities, experiments, and neural systems find
neural field spectra with 1/f-like scaling, eliciting many alternative theories to explain this …

A stochastic process is at thermodynamic equilibrium if it obeys time-reversal symmetry;
forward and reverse time are statistically indistinguishable at steady state. Non-equilibrium …

Infinitely many distinct trait values may arise in populations bearing quantitative traits, and
modelling their population dynamics is thus a formidable task. While classical models …

During the implementation of strong non-pharmaceutical interventions (NPIs), more than
one hundred COVID-19 outbreaks induced by different strains in China were dynamically …

The evolutionary consequences of quorum sensing in regulating bacterial cooperation are
not fully understood. In this study, we reveal unexpected effects of regulating public good …

Cycle and potential decompositions are widely used mathematical tools for analyzing
systems across fields. The discrete Hodge-Helmholtz Decomposition (HHD) decomposes an …

Abstract May and Leonard (SIAM J Appl Math 29: 243–253, 1975) introduced a three-
species Lotka–Volterra type population model that exhibits heteroclinic cycling. Rather than …

Density dependence is important in the ecology and evolution of microbial and cancer cells.
Typically, we can only measure net growth rates, but the underlying density-dependent …

Populations suffer two types of stochasticity: demographic stochasticity, from sampling error
in offspring number, and environmental stochasticity, from temporal variation in the growth …