In this paper, the Allee effect is incorporated into a predator–prey model with linear functional response. Compared with the predator–prey model without the Allee effect, it is found that the Allee effect of the prey species increases the extinction risk of both the prey and predator. If...

We prove a Hopf bifurcation result for singular differential–algebraic equations (DAE) under the assumption that a trivial locus of equilibria is situated on the singularity as the bifurcation occurs. The structure that we need to obtain this result is that the linearisation of the DAE has a...

In a model of overlapping generations with a continuum of finitely lived individuals, the aggregate price dynamics is characterized by a functional differential equation of mixed type. Delays and advances are exogenous when age at retirement is mandatory; they become state-dependent when...