Distributed delays in a simple neuronal population model of decision-making

In this paper, we focus on a simple neuronal population model of decision-making. The original model with discrete time delay was used to explain impairments in the decision-making process which we associate with the magnitude of delay. Such delays can be caused by neurodegenerative diseases (e.g. multiple sclerosis) or ageing. In reality, time delays are not constant but rather distributed according to some probability distributions. This is the reason we study the proposed model with arbitrary distribution of time delays, obtaining some general results. Next, we switch to study the model with Erlang distributions, focusing on the influence of average time delay on the model stability.