Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901333 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
In this paper, we investigate an SI epidemic model with feedback controls in a patchy environment where individuals in each patch can disperse among n(nâ¯â¥â¯2) patches. We derive the basic reproduction number R0 and prove that the disease-free equilibrium is globally asymptotically stable if R0â¯â¤â¯1. In the case of R0â¯>â¯1, we derive sufficient conditions under which the endemic equilibrium is unique and globally asymptotically stable. Our proof of global stability utilizes the method of global Lyapunov functions and results from graph theory. Numerical simulations are carried out to support our theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hong-Li Li, Long Zhang, Zhidong Teng, Yao-Lin Jiang, Ahmadjan Muhammadhaji,