AI Article Synopsis
- - The paper discusses pine wilt disease dynamics, specifically developing a formula for the disease's basic reproduction number, which is key to understanding how the disease spreads.
- - It establishes that the disease-free state is stable unless the reproduction number exceeds one, in which case the disease becomes persistent and a stable endemic state exists.
- - The researchers prove global stability using a Lyapunov function and employ graph theory to illustrate the endemic equilibrium, also presenting control strategies based on sensitivity analysis.
Article Abstract
This paper portrays the dynamics of pine wilt disease. The specific formula for reproduction number is accomplished. Global behavior is completely demonstrated on the basis of the basic reproduction number [Formula: see text]. The disease-free equilibrium is globally asymptotically stable for [Formula: see text] and in such a case, the endemic equilibrium does not exist. If [Formula: see text] exceeds one, the disease persists and the unique endemic equilibrium is globally asymptotically stable. Global stability of disease-free equilibrium is proved using a Lyapunov function. A graph-theoretic approach is applied to show the global stability of the unique endemic equilibrium. Sensitivity analysis has been established and control strategies have been designed on the basis of sensitivity analysis.
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Source |
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7044204 | PMC |
| http://dx.doi.org/10.1038/s41598-020-60088-1 | DOI Listing |
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