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.
Dimensions
Published
2019-05-09
How to Cite
An Epidemic Model of Zoonotic Visceral Leishmaniasis with Time Delay. (2019). Journal of the Nigerian Society of Physical Sciences, 1(1), 20-29. https://doi.org/10.46481/jnsps.2019.5
Issue
Section
Original Research
Copyright & Licensing
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
An Epidemic Model of Zoonotic Visceral Leishmaniasis with Time Delay. (2019). Journal of the Nigerian Society of Physical Sciences, 1(1), 20-29. https://doi.org/10.46481/jnsps.2019.5
Similar Articles
- Alaba Joseph Adebayo, Ilemobayo Ifedayo Oguntimehin, Studies on the effects of kaolin filler concentrations on the thermal and mechanical performance of furan–lignin foam formulations , Journal of the Nigerian Society of Physical Sciences: Volume 8, Issue 3, August 2026
- T. W. David, B. J. Adekoya, C. M. Michael, S. A. Adekoya, O. A. Adenuga, S. O. Kareem, H. T. Oladunjoye, A. E. Ajetunmobi, O. T. Williams, D. T. Ogundele, A Study of the Relationship Between Southward Bz > -10 nT and Storm Time Disturbance Index During Solar Cycle 23 , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 4, November 2022
- Gabriel O. Odekina, Adedayo F. Adedotun, Ogbu F. Imaga, Modeling and Forecasting the Third wave of Covid-19 Incidence Rate in Nigeria Using Vector Autoregressive Model Approach , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 1, February 2022
- 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
- Tunde Tajudeen Yusuf, Afeez Abidemi, Ayodeji Sunday Afolabi, Emmanuel Jesuyon Dansu, Optimal Control of the Coronavirus Pandemic with Impacts of Implemented Control Measures , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 1, February 2022
- Gabriel James, Anietie Ekong, Etimbuk Abraham, Enobong Oduobuk, Peace Okafor, Analysis of support vector machine and random forest models for predicting the scalability of a broadband network , Journal of the Nigerian Society of Physical Sciences: Volume 6, Issue 3, August 2024
- Solomon A. Ayuba, I. Akeyede, A. S. Olagunju, Stability and Sensitivity Analysis of Dengue-Malaria Co-Infection Model in Endemic Stage , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 2, May 2021
- Christopher Ifeanyi Eke, Kholoud Maswadi, Musa Phiri, Mulenga Mwege, Mohammad Imran, Dekera Kenneth Kwaghtyo, Akeremale Olusola Collins, Effective tweets classification for disaster crisis based on ensemble of classifiers , Journal of the Nigerian Society of Physical Sciences: Volume 7, Issue 3, August 2025
- Sylvester J. Gemanam, Nursakinah Suardi, Barnabas A. Ikyo, Samson Damilola Oluwafemi, Terver Daniel, Samuel T. Kungur, Biostimulation Effects and Temperature Variation in Stimulated Dielectric Substance (Diabetic Blood Comparable to Non-Diabetic Blood) Based on the Specific Absorption Rate (SAR) in Laser Therapy , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 2, May 2021
- Dyavappa B M, The Mass Resolution of Ca, K Isotopes and CO, N2 and C2H4 Isobars in Isotopes Separator On-Line trap Mass spectrometry , Journal of the Nigerian Society of Physical Sciences: Volume 2, Issue 3, August 2020
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
