  Based on the theory of hypernetwork and WeChat online social relations, the
paper proposes an evolving hypernetwork model with the competitiveness and the
age of nodes. In the model, nodes arrive at the system in accordance with
Poisson process and are gradual aging. We analyze the model by using a Poisson
process theory and a continuous technique, and give a characteristic equation
of hyperdegrees. We obtain the stationary average hyperdegree distribution of
the hypernetwork by the characteristic equation. The numerical simulations of
the models agree with the analytical results well. It is expected that our work
may give help to the study of WeChat information transmission dynamics and
mobile e-commerce.
