Skip Navigation Links
Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn


Bovines Migration Effect on the Global Behavior of the Babesiosis-Bovine Epidemic Model

Journal of Environmental Accounting and Management 13(3) (2025) 289--309 | DOI:10.5890/JEAM.2025.09.005

Abdelheq Mezouaghi, Rassim Darazirar, Salih Djilali, Tahar Abbes Mounir

Faculty of Exact Sciences and informatics, Hassiba Benbouali University, Chlef 02000, Algeria

Download Full Text PDF

 

Abstract

References

  1. [1]  Friedman, A. and Yakubu, A.A. (2014), A bovine babesiosis model with dispersion, Bulletin of Mathematical Biology, 76(1), 98-135.
  2. [2]  Spickler, A.R. (2008), D v m, bovine babesiosis. Available at http://www.cfsph.iastate. edu/DiseaseInfo/factsheets.php, viewed at October/ 02/ 2018.
  3. [3]  McFadzean, H., Johnson, N., Phipps, L.P., Swinson, V., and Boden, L.A. (2023), Surveillance and risk analysis for bovine babesiosis in england and wales to inform disease distribution, Animals, 13(13), p.2118.
  4. [4]  Ferreira, G.C.M., Canozzi, M.E.A., Peripolli, V., de Paula Moura, G., Sánchez, J., and Martins, C.E.N. (2022), Prevalence of bovine Babesia spp., Anaplasma marginale, and their co-infections in Latin America: Systematic review-meta-analysis, Ticks and Tick-borne Diseases, 13(4), p.101967.
  5. [5]  Aranda, D.F., Trejos, D.Y., Valverde, J.C., and Villanueva, R.J. (2012), A mathematical model for Babesiosis disease in bovine and tick populations, Mathematical Methods in the Applied Sciences, 35(3), 249-256.
  6. [6]  Aranda, D.F., Trejos, D.Y., and Valverde, J.C. (2017), A discrete epidemic model for bovine Babesiosis disease and tick populations, Open Physics, 15(1), 360-369.
  7. [7]  Solorio-Rivera, J.L. and Rodríguez-Vivas, R.I. (1997), Epidemiology of bovine babesiosis. I. Epidemiological components, Revista Biomédica,8, 37-47.
  8. [8]  Solorio-Rivera, J.L. and Rodríguez-Vivas, R.I. (1997), Epidemiology of the babesiosis bovis. II. Epidemiologic indicators and elements for the design of strategies of control, Revista Biomédica, 8, pp.95-105.
  9. [9]  Balibrea, F., Martinez, A., and Valverde, J.C. (2010), Local bifurcations of continuous dynamical systems under higher order conditions, Applied Mathematics Letters, 23(3), 230-234.
  10. [10]  Pourbashash, H. (2018), Global analysis of the Babesiosis disease in bovine and tick populations model and numerical simulation with multistage modified sinc method, Iranian Journal of Science and Technology, Transactions A: Science, 42, 39-46.
  11. [11] Slimane, I., Nieto, J.J., and Ahmad, S. (2023), A fractional-order bovine babesiosis epidemic transmission model with nonsingular mittag-leffler law, Fractals, 31(02), p.2340033.
  12. [12]  Saad-Roy, C.M., Shuai, Z., and Van den Driessche, P. (2015), Models of bovine babesiosis including juvenile cattle, Bulletin of Mathematical Biology, 77(3), 514-547.
  13. [13]  dos Santos, J.P.C., Cardoso, L.C., Monteiro, E., and Lemes, N.H. (2015), A fractional‐order epidemic model for bovine babesiosis disease and tick populations, In Abstract and Applied Analysis, 2015(1), p.729894, Hindawi publishing corporation.
  14. [14]  Zafar, Z., Rehan, K., and Mushtaq, M. (2017), Fractional-order scheme for bovine babesiosis disease and tick populations, advances in Difference Equations, 86.
  15. [15] Record in the exportations of Live Cattle to Algeria this week (2019), https://euroganaderosgroup.com/en/2019/04/01/record-in-the-exportations-of-live-cattle-to-algeria-this-week/
  16. [16] Abdelheq, M., Belhamiti, O., Bouzid, L., Trejos, D.Y., and Valverde, J.C. (2019), A predictive spatio-temporal model for bovine Babesiosis epidemic transmission, Journal of Theoretical Biology, 480, 192-204.
  17. [17]  Bouzid, L. and Belhamiti, O. (2017), Effect of seasonal changes on predictive model of bovine babesiosis transmission, International Journal of Modeling, Simulation, and Scientific Computing, 8(03), p.1750030.
  18. [18]  Rovid, A., Bovine Babesiosis, The center for food security and public health (2018), https://www.cfsph.iastate.edu/Factsheets/pdfs/bovine\_babesiosis.pdf.
  19. [19]  Committee on foreign and emerging diseases of the United States animal health association, Foreign animal diseases, Boca publications group, Inc., Canada, (2008).
  20. [20]  Demeke, A., Endris, E., Birhanu, A.S. (2018), Review on bovine Babesiosis, Acta Parasitologica, 9(1), 15-26.
  21. [21]  Mahoney, D.F. (1962), Bovine babesiosis: diagnosis of infection by a complement fixation test, Australian Veterinary Journal, 38(2), 48-52.
  22. [22]  Djilali, S. (2024), Dynamics of a spatiotemporal SIS epidemic model with distinct mobility range, Applicable Analysis, 1-23.
  23. [23]  Djilali, S., Chen, Y., and Bentout, S. (2025), Dynamics of a delayed nonlocal reaction–diffusion heroin epidemic model in a heterogenous environment, Mathematical Methods in the Applied Sciences, 48(1), 273-307. https://doi.org/10.1002/mma.10327.
  24. [24] Djilali, S. (2024), Generalities on a delayed spatiotemporal host–pathogen infection model with distinct dispersal rates, Mathematical Modelling of Natural Phenomena, 19, 11.
  25. [25]  Djilali, S. (2023), Threshold asymptotic dynamics for a spatial age-dependent cell-to-cell transmission model with nonlocal disperse, Discrete \& Continuous Dynamical Systems-Series B, 28(7).