Open Access. Powered by Scholars. Published by Universities.®
Lyapunov functions; heterogeneous sir model; global asymptotic stability; generalized incidence; nonlinear incidence; disease dynamics; mathematical epidemiology
Articles 1 - 1 of 1
Full-Text Articles in Entire DC Network
Analysis And Simulation For Homogeneous And Heterogeneous Sir Models, Joseph Wilda
Analysis And Simulation For Homogeneous And Heterogeneous Sir Models, Joseph Wilda
Electronic Theses and Dissertations
In mathematical epidemiology, disease transmission is commonly assumed to behave in accordance with the law of mass action; however, other disease incidence terms also exist in the literature. A homogeneous Susceptible-Infectious-Removed (SIR) model with a generalized incidence term is presented along with analytic and numerical results concerning effects of the generalization on the global disease dynamics. The spatial heterogeneity of the metapopulation with nonrandom directed movement between populations is incorporated into a heterogeneous SIR model with nonlinear incidence. The analysis of the combined effects of the spatial heterogeneity and nonlinear incidence on the disease dynamics of our model is presented …