Mathematical Analysis of an SEIRS Model with Multiple Latent and Infectious Stages in Periodic and Non-periodic Environments

Mathematical Analysis of an SEIRS Model with Multiple Latent and Infectious Stages in Periodic and Non-periodic Environments

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The thesis focuses on the qualitative analysis of a general class of SEIRS models in periodic and non-periodic environments. The classical SEIRS model, with standard incidence function, is, first of all, extended to incorporate multiple infectious stages. Using Lyapunov function theory and LaSalle&#...

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Bibliographic Details
Main Author: Melesse, Dessalegn Yizengaw
Other Authors: Gumel, Abba (Mathematics)
Language:en_US
Published: 2010
Subjects:
infectious diseases
Lyapunov function
LaSalle's Invariance Principle
Reproduction number
Comparison Theorem
Persistence theory
uniformly persistence
strongly uniformly persistence
endemic equilibrium
diseases-free equilibrium
global asymptotic stability
local asymptotic stability
Online Access:http://hdl.handle.net/1993/4086

Internet

http://hdl.handle.net/1993/4086

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