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

Mathematics

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