The fight against cancer has drawn researchers from a wide variety of disciplines, ranging
from molecular biology to physics, but the perspective of an ecological theorist has been …

In this topical review, we present a brief overview of the different methods and measures to
detect the occurrence of critical transitions in complex systems. We start by introducing the …

Transitions between regimes with radically different properties are ubiquitous in nature.
Such transitions can occur either smoothly or in an abrupt and catastrophic fashion …

Shifting patterns of temporal fluctuations have been found to signal critical transitions in a
variety of systems, from ecological communities to human physiology. However, failure of …

We investigate a quantitative bistable two-dimensional model (MeKS network) of gene
expression dynamics describing the competence development in the Bacillus subtilis under …

Equilibrium and nonequilibrium systems exhibit power-law singularities close to their critical
and bifurcation points respectively. A recent study has shown that biochemical …

In this paper, we compare the role of constant and Michaelis-Menten type harvesting in
single species population control in presence of correlated noise sources. Our aim is to …

A quantitative model of autoregulatory gene expression involving a single gene with time
delays and cross-correlated noise sources is investigated. The probability density and mean …

The different cell types in a living organism acquire their identity through the process of cell
differentiation in which multipotent progenitor cells differentiate into distinct cell types …

In this paper, we have considered stochastic insect outbreak model in presence of Michaelis-
Menten type of harvesting. The growth of the insect species is taken as delayed logistic type …