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2016 The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission
Raid Kamel Naji, Reem Mudar Hussien
J. Appl. Math. 2016: 1-16 (2016). DOI: 10.1155/2016/4907964

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 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.

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Raid Kamel Naji. Reem Mudar Hussien. "The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission." J. Appl. Math. 2016 1 - 16, 2016. https://doi.org/10.1155/2016/4907964

Information

Received: 27 August 2015; Accepted: 10 December 2015; Published: 2016
First available in Project Euclid: 10 February 2016

zbMATH: 07037280
MathSciNet: MR3448885
Digital Object Identifier: 10.1155/2016/4907964

Rights: Copyright © 2016 Hindawi

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