Kindly have a look on this chapter, Best.

https://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=8042271&newsearch=true&queryText=mobility%20models%20for%20wireless%20sensor%20network

Dear Shivaji Lahane,

the mobility in WSNs is a "big topic". Different mobility models have been developed to specify the characteristics of the mobility of nodes in WSNs and to take this into account in the Routing Protocol RPL. The RPL protocol must be extended accordingly to support mobility in WSNs. WSN has been examined in several articles. Enclosed a list of important mobility models with the indication of literature sources.

The categories of mobility models for Wireless Sensor Networks:

• Nomadic Model, in [1], [4]
• RPG (Reference Point Group) Mobility Model, in [4]
• Random Walk Mobility Model, in [1], [2], [3], [4]
• Random Waypoint Mobility Model, in [1], [2], [3], [4]
• Random Direction Mobility Model, in [1], [2], [3], [4]
• Boundless Simulation Area Mobility Model, in [3], [4]
• Smooth Random Mobility Model, in [2], [3], [5]
• City Section Mobility Model, in [3], [4]
• SLAW (Self-similar Least Action Walk) Model, [5]

I've added a list of articles that examine the impact of different mobility models on the performance metrics of WSN, and provide some suggestions for extending RPLs mobility support. In particular, I would like to refer to the article:

H. Lamaazi, N. Benamar, A. J. Jara: “RPL-based networks in static and mobile environment: A performance ssessment analysis", Journal of King Saud University – Computer and Information Sciences, 30 (2018); http://dx.doi.org/10.1016/j.jksuci.2017.04.001

Some information about RPP Mobility Extension can be found in part 3.1 under:

https://www.researchgate.net/publication/322367185_A_Literature_Collection_on_Routing_in_the_Internet_of_Things_IoT_with_RPL_Part_3_RPL_Analysis_and_Evaluation

Sincerely, and much success

Anatol Badach

The mobility models for Wireless Sensor Networks:

[1] T. Camp, J. Boleng and V. Davies: A survey of mobility models for ad hoc network research, Wireless Commununications and Mobile Computing, Vol. 2, 2002; DOI: 10.1002/wcm.72

https://onlinelibrary.wiley.com/doi/epdf/10.1002/wcm.72

[2] F. Bai, A. Helmy: A survey of mobility models in wireless adhoc networks, Wireless Ad Hoc and Sensor Networks, 2004

https://www.cise.ufl.edu/~helmy/papers/Survey-Mobility-Chapter-1.pdf

[3] E. Atsan, Ö. Özkasap: A classification and performance comparison of mobility models for ad hoc networks, International Conference on Ad-Hoc Networks and Wireless, ADHOC-NOW, 2006

http://storage.ku.edu.tr/~oozkasap/papers/fulltext3.pdf

[4] V. Davies. Evaluating mobility models within an ad hoc network. Master’s thesis, Colorado School of Mines, 2000

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.4191

[5] L. Kyunghan, et al.: SLAW: a new mobility model for human walks, 28th IEEE International Conference on Computer Communications, Joint Conference of the IEEE Computer, 2009

https://www.researchgate.net/publication/224500337_SLAW_A_mobility_model_for_human_walks

[6] S. Patel Tushar, et al.: A classification and mobility metrics of various mobility models. Res. J. Eng. Sci. 2 (1), 2013

http://www.isca.in/IJES/Archive/v2/i1/8.ISCA-RJEngS-2012-116.pdf

Evaluation of WSN's Performance under Mobility:

L. Saad, B. Ben Tourancheau: Sinks mobility strategy in IPv6-based WSNs for network lifetime improvement, 4th IFIP International Conference on New Technologies, Mobility and Security, NTMS 2011; https://hal.inria.fr/inria-00563724

K. Heurtefeux, H. Menouar, N. AbuAli: "Experimental Evaluation of a Routing Protocol for WSNs: RPL robustness under study", IEEE 9th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob) Experimental, 2013

https://www.researchgate.net/publication/261309327_Experimental_evaluation_of_a_routing_protocol_for_wireless_sensor_networks_RPL_under_study

O. Gaddour, A. Koubâa, R. Rangarajan, O. Cheikhrouhou, E. Tovar and M. Abid: “Co-RPL: RPL Routing for Mobile Low Power Wireless Sensor Networks using Corona Mechanism”, 9th IEEE International Symposium on Industrial Embedded Systems (SIES), June 2014, doi:10.1109/SIES.2014.6871205

https://doi.org/10.1109/SIES.2014.6871205

H. Fotouhi, D. Moreira and M. Alves: “mRPL: Boosting mobility in the Internet of Things”, Ad Hoc Networks, Vol. 26, Mar. 2015

https://www.researchgate.net/profile/Hossein_Fotouhi/publication/268691242_MRPL

O. Gaddour, A. Koubâa, M. Abid: Quality-of-service aware routing for static and mobile IPv6-based low-power and lossy sensor networks using RPL. Ad Hoc Netw. 33, 2015; DOI: 10.1016/j.adhoc.2015.05.009

https://www.sciencedirect.com/science/article/pii/S1570870515000992?via%3Dihub

J. Ko and M. Chang: „MoMoRo: Providing Mobility Support for Low-Power Wireless Applications”, IEEE Systems Journal, Vol. 9(2), June 2015; DOI: 10.1109/JSYST.2014.2299592

https://ieeexplore.ieee.org/document/6766743/

Oliveira and T. Vazão, “Low-power and lossy networks under mobility: A survey”, Computer Networks, Vol. 107, Part 2, Oct. 2016; https://doi.org/10.1016/j.comnet.2016.03.018

M. Bouaziz, A. Rachedi and A. Belghith: „EC-MRPL: An energy-efficient and mobility support routing protocol for Internet of Mobile Things“, 14th Annual IEEE Consumer Communications & Networking Conference, Jan. 2017; DOI: 10.1109/CCNC.2017.7983074

https://ieeexplore.ieee.org/document/7983074/

H. Lamaazi, N. Benamar, A. J. Jara: “RPL-based networks in static and mobile environment: A performance ssessment analysis", Journal of King Saud University – Computer and Information Sciences, 30 (2018); http://dx.doi.org/10.1016/j.jksuci.2017.04.001

H. Fotouhi, D. Moreira, M. Alves and P. M. Yomsi: “mRPL+: A mobility management framework in RPL/6LoWPAN”, Computer Communications, Vol. 104, May 2017

http://www.sciencedirect.com/science/article/pii/S0140366417301512

E. Royer, P.M. Melliar-Smith, and L. Moser. An analysis of the optimum node density for ad hoc mobile networks. In Proc.IEEE International Conference on Communications, 2001

https://ieeexplore.ieee.org/document/937360/