TY - JOUR
T1 - Mathematical analysis of a time delay visceral leishmaniasis model
AU - Gandhi, Velmurugan
AU - Al-Salti, Nasser S.
AU - Elmojtaba, Ibrahim M.
N1 - Funding Information:
The authors would like to acknowledge financial support from Sultan Qaboos University, Oman and United Arab Emirates University, UAE through the joint research Grant No. CL/SQU-UAEU/17/01. The authors acknowledge, with thanks, the comments of an anonymous reviewer, which enhanced the clarity and readability of the paper.
Funding Information:
The authors would like to acknowledge financial support from Sultan Qaboos University, Oman and United Arab Emirates University, UAE through the joint research Grant No. CL/SQU-UAEU/17/01. The authors acknowledge, with thanks, the comments of an anonymous reviewer, which enhanced the clarity and readability of the paper. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Publisher Copyright:
© 2020, Korean Society for Informatics and Computational Applied Mathematics.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
KW - Hopf bifurcation
KW - Numerical simulation
KW - Stability
KW - Time-delay
KW - Visceral leishmaniasis model
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U2 - 10.1007/s12190-019-01315-5
DO - 10.1007/s12190-019-01315-5
M3 - Article
AN - SCOPUS:85077619322
VL - 63
SP - 217
EP - 237
JO - Journal of Applied Mathematics and Computing
JF - Journal of Applied Mathematics and Computing
SN - 1598-5865
IS - 1-2
ER -