Simulation Analyses of the Stochastic Infectious Model under the Allee Effect

Abstract

In this paper, a stochastic diffusive infectious model with the Allee effect is proposed. By numerical simulations, we show that spatio-temporal patterns of the infectious spreading process become the fractal structure like the Sierpinski gasket independently of the existence of the noise in some parameter range, and in the other parameter range, the patterns under the noise is very different from ones under the no noise case.