An Epidemic Model of Zoonotic Visceral Leishmaniasis with Time Delay
Keywords:
ZVL, Stability, Hopf bifurcation, Time delayAbstract
This paper presents a mathematical model with time delay for the transmission dynamics of zoonotic visceral leishmaniasis (ZVL which is caused by protozoan parasite leishmania infantum and transmitted by female sandflies). Qualitative analysis of the ODE version of the model reveals that the disease-free equilibrium of the model is globally asymptotically stable when the basic reproduction number, R0, is less than unity. Using time delay as a bifurcation parameter in the delay-differential version of the model, it has been shown that the incubation period has a significant effect on the stability of the equilibria and we derived the condition for Hopf bifurcation to occur.
Published
How to Cite
Issue
Section
Copyright (c) 2019 Journal of the Nigerian Society of Physical Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Similar Articles
- Samuel Olorunfemi Adams, Davies Abiodun Obaromi, Alumbugu Auta Irinews, Goodness of Fit Test of an Autocorrelated Time Series Cubic Smoothing Spline Model , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 3, August 2021
- Kazeem A. Tijani, Chinwendu. E. Madubueze, Isaac O. Onwubuya, Nkiruka Maria-Assumpta Akabuike, John Olajide Akanni, Mathematical modelling of the dynamical system of military population, focusing on the impact of welfare , Journal of the Nigerian Society of Physical Sciences: Volume 7, Issue 4, November 2025
- Shola Adebiyi, Isaac Adimula, Olushola Oladipo, Inter-Hemispheric Comparison of Ionospheric TEC Variation at Each Latitudinal Band During Quiet Geomagnetic Condition , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 2, May 2020
- E. I. Akinola, R. A. Oderinu, S. Alao, O. E. Opaleye, An Integral Transform-Weighted Residual Method for Solving Second Order Linear Boundary Value Differential Equations with Semi-Infinite Domain , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 4, November 2022
- C. J. Ajaelu, O. Oyedele, A. A. Ikotun, E. O. Faboro, Safranin O dye removal using Senna fistula activated biomass: Kinetic, equilibrium and thermodynamic studies , Journal of the Nigerian Society of Physical Sciences: Volume 5, Issue 1, February 2023
- Ganiyu Ajileye, Adewale James, Ayinde Abdullahi, Taiye Oyedepo, Collocation Approach for the Computational Solution Of Fredholm-Volterra Fractional Order of Integro-Differential Equations , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 4, November 2022
- Bright O. Osu, K. N. C. Njoku, B. I. Oruh, On the Investment Strategy, Effect of Inflation and Impact of Hedging on Pension Wealth during Accumulation and Distribution Phases , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 3, August 2020
- B. I. Akinnukawe, K. O. Muka, L-Stable Block Hybrid Numerical Algorithm for First-Order Ordinary Differential Equations , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 3, August 2020
- Retraction Notice: Fractional-order modeling of visceral leishmaniasis disease transmission dynamics: strategies in eastern Sudan , Journal of the Nigerian Society of Physical Sciences: Volume 8, Issue 2, May 2026 (In Progress)
- C. A. Onate, M. C. Onyeaju, Entropic system in the relativistic Klein-Gordon Particle , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 3, August 2021
You may also start an advanced similarity search for this article.
Most read articles by the same author(s)
- S. A. Abdullahi, A. G. Habib, N. Hussaini, Mathematical Model of In-host Dynamics of Snakebite Envenoming , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 2, May 2022
