Control of panic behavior in a non identical network coupled with a geographical model
In this paper, our aim is to study the control of panic behavior
in a non-identical network coupled with
a model for human behaviors during catastrophic events, and to establish the link
between control and synchronization of the network.
We show how to model the domino effect in the case
of a succession of disasters and exhibit a Hopf bifurcation.
We explore the patterns emerging from
basic two-nodes configurations and analyze the effect of the coupling strength on the bifurcations
that occur in the subsequent dynamical system.
We illustrate our qualitative results by a numerical simulation of a specific catastrophe,
prepared with the collaboration of geographers.