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For example, one needs uniform bounds on the second derivatives of stable and unstable manifolds, because their curvature must be uniformly bounded in the analysis of
The motivation in these papers, as here, is to ask whether an asymptotically stable deterministic system will remain (almost surely) asymptotically stable when it is subjected to
Again, a quasi-strict equilibrium with the support of at most three pure strategies is locally asymptotically stable with respect to these dynamics if the level of inertia is
In the present work, we shall show that the feasible (if present) steady state of a wide class of Lotka±Volterra systems is globally asymptotically stable if simple conditions on
In this paper, stochastic control theory is applied to answer the following question: if an insurer has the possibility to invest part of his surplus into a risky asset, what is
It is well known that the UDD, constant force, and Balducci assumptions when applied consistently over a number of consecutive age intervals all lead to a force of mortality
A stochastic cash management system is studied in which the cash flow is modeled by the superposition of a Brownian motion with drift and a compound Poisson process with positive
The issue is the relationship between the over-dispersed Poisson (ODP) model of Renshaw and Verrall (1998), the distribution-free stochastic model (DFCL) of Mack (1993) and
