Abstract
In this paper, we discuss some of the dynamical characteristics of a visceral leishmaniasis (VL) model with time delay. We have derived sufficient conditions to ensure the stability of the considered delayed VL model at the steady states. Taking the time delay as a bifurcation parameter, we have established a criteria for the existence of Hopf bifurcation of the considered model. Moreover, conditions for global stability of the steady states are also presented. Finally, some numerical simulations are given to show the effectiveness of our theoretical results.
Original language | English |
---|---|
Journal | Journal of Applied Mathematics and Computing |
DOIs | |
Publication status | Accepted/In press - Jan 1 2020 |
Externally published | Yes |
Keywords
- Hopf bifurcation
- Numerical simulation
- Stability
- Time-delay
- Visceral leishmaniasis model
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics