The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission
Joint Authors
Naji, Raid Kamel
Hussien, Reem Mudar
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-05
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
An epidemic model that describes the dynamics of the spread of infectious diseases is proposed.
Two different types of infectious diseases that spread through both horizontal and vertical transmission in the host population are considered.
The basic reproduction number R0 is determined.
The local and the global stability of all possible equilibrium points are achieved.
The local bifurcation analysis and Hopf bifurcation analysis for the four-dimensional epidemic model are studied.
Numerical simulations are used to confirm our obtained analytical results.
American Psychological Association (APA)
Naji, Raid Kamel& Hussien, Reem Mudar. 2016. The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1107206
Modern Language Association (MLA)
Naji, Raid Kamel& Hussien, Reem Mudar. The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission. Journal of Applied Mathematics No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1107206
American Medical Association (AMA)
Naji, Raid Kamel& Hussien, Reem Mudar. The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1107206
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107206