[PDF] Top 20 Population dynamics and stochastic particle systems

... interacting particle systems It is natural and useful to construct interacting particle systems via a probabilis- tic or graphical representation which was introduced by Harris in 1972 ... See full document

... of stochastic interacting particle dynamic systems to investigate the statistical properties of fluctuations of stock prices in a stock market, and the corresponding valuation and hedging of ... See full document

... in population dynamics we refer the reader to Gard [6, 7, ...of stochastic modelling has also been used widely in mathemtical finance, for example, in the Nobel prize winning model, ...a ... See full document

... (attractive) particle systems preserve the partial order on the state space in time, which enables the use of powerful coupling techniques to derive rigorous results on large scale dynamic properties such ... See full document

... DW dynamics in comparison to that during free-propagation, which we postulated to closely resemble the cases where DWs were ballistically injected by the current ... See full document

... • Mean-field equations (11) are often used as approximations in other geometries such as symmetric or asymmetric dynamics on d-dimensional regular lattices. As usual, the larger the dimension the better the ... See full document

... After the pioneering work of Hadeler and Freedman [1] on three species eco-epidemiological systems, namely, sound prey (susceptible), infected prey (infective) and predator have been studied extensively by ... See full document

... In Chapter 4 we demonstrated how we may exploit the generality of the scales used in Chapter 3 to study the leading order finite-size effects in a condensing zero-range process around the critical point. It was shown ... See full document

... Brownian dynamics systems and their behaviour have been extensively studied and well established, but no such studies exist for overdamped DPD ...stiff stochastic differential equa- tions for which ... See full document

... shown that the presence of such noise affects population systems significantly. For example, Takeuchi et. al. [26] consider a predator-prey Lotka–Volterra model with Markovian switching between two regimes ... See full document

... in Ref. [219]. Yet of course the very simplified idealized models studied here cannot possibly capture the full complexity encountered in natural ecosystems. Nevertheless, we believe that the distinct physics approach of ... See full document

... macroscopic systems in terms of microscopic components governed by local ...biology systems to generic dynamics in evolution, from traffic dynamics to wealth ...microscopic dynamics in ... See full document

... the particle current as one of the most important characteristics of nonequilibrium systems in one ...a stochastic lattice ...one particle) [42, 14], also in combination with the matrix ... See full document

... backward stochastic differential equations (FBSDEs) is proposed by using branching particle systems in a random ...finite particle systems are constructed to obtain the approx- imate ... See full document

... One of the useful features of the tug-of-war model is that it allows various bio- physical processes to be incorporated into the model. For example, a convenient experimental method for changing the stalling force (and ... See full document

... Lagrangian stochastic models for simulation of tracer-particle trajectories [1] I have assumed that the turbulent velocities experienced by particles along their trajectories can be represented as ... See full document

... are affected by n independent standard Brownian motions, we have proposed and investigated a stochastic predator- prey populations model in polluted environments. We have established the existence, uniqueness and ... See full document

... the dynamics of the system [93–98], where the fluxes across the mesh faces are calculated from some of the same information used to (dynamically) create the ... See full document

... of population density and stress (Clutton- Brock and Iason, ...the population had better chance of increased reproduction than post population crash ...total population number was higher ... See full document

... Model updating using measured system response, with or without measured excitation, has a wide range of applications in response prediction, reliability and risk assessment, and control of dynamic systems and ... See full document