00
Days
00
Hrs
00
Min
00
Sec
Submit Your Paper

Rogue Wave Modeling of Herder–Farmer Conflicts in OGWASHI-UKU, Delta State, Nigeria

Authors

Ejinkonye Ifeoma. O

Department of Mathematics, Admiralty University of Nigeria, Ibusa, Delta State, Nigeria. (NG)

Mankilik Isaac. M

Department of Mathematics, Admiralty University of Nigeria, Ibusa, Delta State, Nigeria. (NG)

Article Information

DOI: 10.51583/IJLTEMAS.2025.1408000176

Subject Category: MATHEMATICS

Volume/Issue: 14/8 | Page No: 1386-1391

Publication Timeline

Submitted: 2025-09-20

Published: 2025-09-20

Abstract

Abstract: Violent flare-ups in herder–farmer conflict often appear suddenly, peak sharply, and dissipate unpredictably across communities. This project adapts rogue-wave dynamics—rare, high-amplitude events emerging from modulation instability in nonlinear systems—to explain and predict such outbreak patterns in Delta State. We model incident intensity as a nonlinear wave field coupled to slow-varying socio-environmental drivers (land use, market shocks, rainfall, policing). Using geocoded incident data (2010–2025), we will (i) test whether conflict clusters exhibit rogue-wave signatures, (ii) estimate conditions that precipitate “surge” events, and (iii) simulate targeted early-warning and response strategies. Outputs include an open dataset, a calibrated model, ward-level risk maps, and policy briefs for state actors and community stakeholders. Existing statistical or diffusion models struggle to capture sudden, high-amplitude incident spikes and their rapid spatial spillovers in Delta State. There is a need for a predictive, interpretable framework that identifies instability windows and guides timely prevention.

Keywords

Rogue waves, Herder–farmer conflict, Nonlinear PDE, Ogwashi-Uku, Conflict modelling

Downloads

References

1. Akhmediev, N., & Pelinovsky, E. (2010). Rogue Waves in nonlinear systems. The European Physical Journal special Topics 185(1), 1-4. [Google Scholar] [Crossref]

2. Akpabio, E., & Fasona, M. (2021). Farmer–herder conflicts in Nigeria: Patterns, drivers and policy responses. African Security Review, 30(1), 1–18. [Google Scholar] [Crossref]

3. Bratman, C. (2018). Mathematical models of human conflict: A review. Journal of Social Sciences, 11(2), 45-60. [Google Scholar] [Crossref]

4. Ejinkonye Ifeoma. O. (2020): An application of Homotopy Analysis Method to the study of Rogue wave. International Journal of Mathematics and Statistics Studies. European-American Journals (eaj). 8 (3) Pg 96-115. [Google Scholar] [Crossref]

5. Ejinkonye I.O (2019) “The Effect of interaction of Large Amplitude Wave on Sea with its Application” An International Journal of Pure & Applied Sciences, Scientia Africana 18 (1): Pp 59-69 [Google Scholar] [Crossref]

6. Ejinkonye Ifeoma O.(2021) ;The Effect of Unidirectional Nonlinear Water Wave On A Vertical Wall. IOSR Journal of Mathematics (IOSR-JM) 17(4), (2021): pp. 09-13. [Google Scholar] [Crossref]

7. Lindgren, F., Rue, H., & Lindström, J. (2011). An explicit link between Gaussian fieids and Gaussian Markov random fields;. Journal of the Royal Statistical Society. Series B, Vol. 73 4(423-498). [Google Scholar] [Crossref]

8. Ogege, S. (2021). Local drivers of herder-farmer conflicts: A case study of the Niger Delta Region. International Journal of Conflict Management, 15(1), 88-102. [Google Scholar] [Crossref]

9. Okolo, R. (2017). Climate Change and Pastoralist-Farmer Conflicts in Nigeria: A Study of the North-Central Region. Journal of Environmental Studies, 9(2), 112-125. [Google Scholar] [Crossref]

10. Osborne, A. (2010). Nonlinear Ocean Waves and the Inverse Scattering Transform. [Google Scholar] [Crossref]

11. Ukeje, I. (2019). The Political Economy of Herder-Farmer Conflicts in Nigeria. Peace and Conflict Studies Journal, 13(1), 45-59. [Google Scholar] [Crossref]

12. Raissi, M., Perdikaris, P., & Karniadakis, G. (2019). Physics-Informed Neural Networks. [Google Scholar] [Crossref]

13. Yan, Z. (2010). Nonlinear rogue wave dynamics: Mathematical models and applications. Nonlinear Science Letters A, 1(1), 1–12. [Google Scholar] [Crossref]

Metrics

Views & Downloads

Similar Articles

© 2026 IJLTEMAS · RSIS International. All rights reserved. ISSN 2278-2540.