The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission. (5th January 2016)

• Record Type: Journal Article
• Authors: Naji, Raid Kamel; Hussien, Reem Mudar
• Other Names: Jin Zhen Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2016(2016)
• Publication Date: 2016-01-05
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2016/4907964
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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 numberR 0 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.