DocumentCode :
3151604
Title :
Stability analysis for a differential infectivity epidemic model
Author :
Zhi, Song ; Gui-hong, Tao ; Shu-rong, Hui
Author_Institution :
Coll. of Sci., Shenyang Agric. Univ., Shenyang, China
fYear :
2011
fDate :
16-18 April 2011
Firstpage :
5255
Lastpage :
5258
Abstract :
A SInRS epidemic model is formulated by means of dividing classical infected population into n subgroups according to viral levels vary widely between infected individuals, we study the impact of variations in infectiousness, applying ordinary equation theory and nonlinear dynamics methods, we derive the reproductive number, the threshold condition of global stability of the infection-free equilibrium, discuss the main factors affecting the spread of disease and carry out numerical simulations.
Keywords :
differential equations; epidemics; nonlinear dynamical systems; numerical analysis; stability; SInRS epidemic model; differential infectivity epidemic model; nonlinear dynamics; numerical simulations; ordinary equation theory; stability analysis; Analytical models; Diseases; Immune system; Mathematical model; Numerical models; Numerical stability; Stability analysis; Global Stability; Reproductive number; SIn RS epidemic model; Threshold;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
Conference_Location :
XianNing
Print_ISBN :
978-1-61284-458-9
Type :
conf
DOI :
10.1109/CECNET.2011.5768400
Filename :
5768400
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3151604
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