An epidemic model in a patchy environment

2004 ◽  
Vol 190 (1) ◽  
pp. 97-112 ◽  
Author(s):  
Wendi Wang ◽  
Xiao-Qiang Zhao
Keyword(s):  
Epidemic Model ◽  
Patchy Environment

Dynamical Behaviors of a Pest Epidemic Model with Impulsive Control Over a Patchy Environment

2018 ◽  
Vol 28 (14) ◽  
pp. 1850173 ◽  
Author(s):  
Zhichun Yang ◽  
Cheng Chen ◽  
Lanzhu Zhang ◽  
Tingwen Huang
Keyword(s):  
Epidemic Model ◽  
Impulsive Control ◽  
Threshold Value ◽  
Impulsive System ◽  
Asymptotically Stable ◽  
Patchy Environment ◽  
Globally Asymptotically Stable ◽  
Dynamical Behaviors ◽  
Persistence Theory ◽  
Chaotic Characteristic

An epidemic model for pest management with impulsive control over a patchy environment is proposed in this paper. We investigate the dynamical behaviors on extinction and permanence and obtain the threshold value [Formula: see text] of dynamics for the impulsive system by utilizing a small amplitude perturbation method, matrix spectral analysis and persistence theory. We prove that the periodic pest-eradication solution of the system is globally asymptotically stable if [Formula: see text], while the system is persistent if [Formula: see text]. Furthermore, by discussion on the two-patch case, we analyze the effects of the dispersal and impulsive control on dynamical behaviors of the system. Some numerical examples are given to illustrate the effectiveness of the obtained results and to demonstrate the complexity such as chaotic characteristic of the system.

scholarly journals An almost periodic epidemic model in a patchy environment

2015 ◽  
Vol 21 (1) ◽  
pp. 271-289 ◽  
Author(s):  
Bin-Guo Wang ◽  
Wan-Tong Li ◽  
Lizhong Qiang
Keyword(s):  
Epidemic Model ◽  
Patchy Environment ◽  
Almost Periodic

scholarly journals A periodic epidemic model in a patchy environment

2007 ◽  
Vol 325 (1) ◽  
pp. 496-516 ◽  
Author(s):  
Fang Zhang ◽  
Xiao-Qiang Zhao
Keyword(s):  
Epidemic Model ◽  
Patchy Environment

Global stability of an SI epidemic model with feedback controls in a patchy environment

2018 ◽  
Vol 321 ◽  
pp. 372-384 ◽  
Author(s):  
Hong-Li Li ◽  
Long Zhang ◽  
Zhidong Teng ◽  
Yao-Lin Jiang ◽  
Ahmadjan Muhammadhaji
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Patchy Environment ◽  
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