Stochastic Path Perturbation Approach Applied to Non-Local Non-Linear Equations in Population Dynamics

摘要: We described the first passage time distribution associated to stochastic evolution from an unstable uniform state a patterned one (attractor of system), when is given by integro-differential equation describing population model. In order obtain analytical results we used Stochastic Path Perturbation Approach introducing minimum coupling approximation into nonlinear dynamics, and multiscale perturbation expansion. show that necessary tool handle other problems like: instabilities multiplicative partial differential equations. A small noise parameter was introduced define random escape field. carried out Monte Carlo simulations in non-local Fisher like equation, agreement with our theoretical predictions.