Mathematical analysis of a time delay visceral leishmaniasis model

被引：0
|
作者：
Gandhi, Velmurugan [1 ]
Al-Salti, Nasser S. [1 ]
Elmojtaba, Ibrahim M. [1 ]
机构：
[1] Sultan Qaboos Univ, Coll Sci, Dept Math, POB 36, Muscat, Oman
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2020年 / 63卷 / 1-2期
关键词：
Visceral leishmaniasis model; Stability; Time-delay; Hopf bifurcation; Numerical simulation; GLOBAL STABILITY; DYNAMICS; BIFURCATION;
D O I：
10.1007/s12190-019-01315-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：217 / 237
页数：21
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