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Globalexponential stability of an epidemic model with saturated and periodic incidence rate
Author(s) -
Xu Yanli,
Li Lingwei
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3812
Subject(s) - mathematics , epidemic model , argument (complex analysis) , stability (learning theory) , incidence (geometry) , exponential stability , inequality , exponential growth , mathematical economics , calculus (dental) , mathematical analysis , nonlinear system , demography , geometry , computer science , population , medicine , physics , dentistry , quantum mechanics , machine learning , sociology
This paper is concerned with a SIR model with saturated and periodic incidence rate and saturated treatment function. By using differential inequality technique, we employ a novel argument to show that the disease‐free equilibrium is globally exponentially stable. The obtained results improve and supplement existing ones. We also use numerical simulations to demonstrate our theoretical results. Copyright © 2015 John Wiley & Sons, Ltd.