Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1704712 | Applied Mathematical Modelling | 2013 | 9 Pages |
Abstract
In this study, we investigate a pine wilt transmission model with nonlinear incidence rates. The stability of the system is analyzed for disease-free and endemic equilibria. It is proved that the global dynamics are completely by the basic reproduction number R0R0. If R0R0 is less than one, the disease-free equilibrium is globally asymptotically stable, and in such a case, the endemic equilibrium does not exist. If R0R0 is greater than one, the disease persists and the unique endemic equilibrium is globally asymptotically stable.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Kwang Sung Lee, Daewook Kim,