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Commun. Math. Biol. Neurosci. 2026 (2026), Article ID 85

Mathematical model on the transmission dynamics of anthrax and rabies co-infection on wild herbivores and carnivores

Chidinma Nwabugo Nwosu, Remigius Okeke Aja, Arinze Luke Ozioko, Sunday Scott Igwe Abang, Emmanuel Chidiebere Duru, Godwin Christopher Ezike Mbah

Abstract

This study is to understand the dynamics of the co-infection of anthrax and rabies in wild herbivores and carnivores. A co-infection mathematical model is developed and its biological well-posedness is studied by proving properties of boundedness and non-negativity of the solutions. The basic reproduction numbers for the model is computed. The equilibrium points were identified. The qualitative analysis reveals that the disease free equilibrium of the sub-models were locally and globally asymptotically stable while the co-infection model is locally asymptotically stable but globally unstable. The dynamics of the model is studied using numerical approach and the impact of some of the parameters are studied.

Published
10 September 2026
Volume
2026 (2026)
License
CC BY 3.0

Copyright © 2026 Chidinma Nwabugo Nwosu, Remigius Okeke Aja, Arinze Luke Ozioko, Sunday Scott Igwe Abang, Emmanuel Chidiebere Duru, Godwin Christopher Ezike Mbah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

C. N. Nwosu, R. O. Aja, A. L. Ozioko, S. S. I. Abang, E. C. Duru, G. C. E. Mbah, Mathematical model on the transmission dynamics of anthrax and rabies co-infection on wild herbivores and carnivores, Commun. Math. Biol. Neurosci. 2026 (2026), 85. https://doi.org/10.28919/cmbn/10042

BibTeX
@article{Nwosu2026,
  author  = {Nwosu, Chidinma Nwabugo and Aja, Remigius Okeke and Ozioko, Arinze Luke and Abang, Sunday Scott Igwe and Duru, Emmanuel Chidiebere and Mbah, Godwin Christopher Ezike},
  title   = {Mathematical model on the transmission dynamics of anthrax and rabies co-infection on wild herbivores and carnivores},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2026},
  year    = {2026},
  pages   = {85},
  doi     = {10.28919/cmbn/10042}
}