Stochastic models to estimate population dynamics

Stochastic functional population dynamics with jumps

In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

stochastic functional population dynamics with jumps

in this paper we use a class of stochastic functional kolmogorov-type model with jumps to describe the evolutions of population dynamics. by constructing a special lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

Population Dynamics of Stochastic Lattice Lotka–Volterra Models

Stochastic Population Dynamics

1. Develop a comprehensive theory of stochastic bifurcations. This includes the development of stochastic and deterministic tools to understand the qualitative change of behaviour of a stochastic system when parameters are varied. 2. Deepen the understanding of the connection between a stochastic description of population problems, its deterministic (ODE) approximation and their validity ranges...

Stochastic gain in population dynamics.

We introduce an extension of the usual replicator dynamics to adaptive learning rates. We show that a population with a dynamic learning rate can gain an increased average payoff in transient phases and can also exploit external noise, leading the system away from the Nash equilibrium, in a resonancelike fashion. The payoff versus noise curve resembles the signal to noise ratio curve in stochas...