Cellular dynamics are intrinsically noisy, so mechanistic models must incorporate stochasticity if they are to adequately model experimental observations. As well as intrinsic stochasticity in gene ...

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

Journal of Animal Ecology, Vol. 78, No. 1 (Jan., 2009), pp. 134-142 (9 pages) 1. The predator-dependent Beddington—DeAngelis functional response model can be considered as an extension of the ...

In this paper we consider a diffusive stochastic predator–prey model with a nonlinear functional response and the randomness is assumed to be of Gaussian nature. A large deviation principle is ...