EF4 – Particles and Agents



Influence of mobility on connectivity

Project Heads

Benedikt Jahnel, Wolfgang König

Project Members

Alexander Hinsen (né Wapenhans) (WIAS) 

Project Duration

01.01.2019 – 31.12.2021

Located at



We consider a spatial system of devices (smartphones and Internet-of-Things devices) on a random street system in Requipped with a realistic transmission mechanism respecting interference and delays. The devices form an ad-hoc communication system where smartphones move independently according to the random waypoint model on the streets. We study two separate models (A) propagation of malware and efficiency of countermeasures, and (B) throughput of messages, if sparse infrastructure is added. Our main interest lies on the influence of mobility on the propagation, respectively on the throughput.

Selected Publications

  • E. Cali, A. Hinsen, B. Jahnel, J.-P. Wary: Malware propagation in urban D2D networks,
    Preprint available at arXiv:2002.06248
  • B. Jahnel, A. Tóbiás: SINR percolation for Cox point processes with random powers,
    Preprint available at arXiv:1912.07895
  • C. Hirsch, B. Jahnel, A. Tóbiás: Lower large deviations for geometric functionals,
    Preprint available at arXiv:1910.05993
  • E. Cali, B. Jahnel, A. Tóbiás: Phase transitions for the Boolean model of continuum percolation for Cox point processes,
    Preprint available at arXiv:2003.06206

Selected Pictures

Malware propagation in urban D2D networks

Realization of randomly placed devices on a street system of Poisson-Voronoi tessellation type. Upper row: The Markovian SIG-model (Susceptible-Infected-Goodware) stopped at the time the malware has reached the radius u=2.5km (left) and u=5km (right), indicated in black. Lower row: The non-Markovian SIG-model with uniform waiting times on [40sec,120sec] for both infected and immune devices, stopped at the time the malware has reached the radius u=2.5km (left) and u=5km (right), indicated in black.

Please insert any kind of pictures (photos, diagramms, simulations, graphics) related to the project in the above right field (Image with Text), by choosing the green plus image on top of the text editor. (You will be directed to the media library where you can add new files.)
(We need pictures for a lot of purposes in different contexts, like posters, scientific reports, flyers, website,…
Please upload pictures that might be just nice to look at, illustrate, explain or summarize your work.)

As Title in the above form please add a copyright.

And please give a short description of the picture and the context in the above textbox.

Don’t forget to press the “Save changes” button at the bottom of the box.

If you want to add more pictures, please use the “clone”-button at the right top of the above grey box.