Analysis of SIR epidemic models with nonlinear incidence rate and treatment

Mathematical Biosciences

Volumn 238, Issue 1, 2012, Pages 12-20

  Hu, Zhixing ^a   Ma, Wanbiao ^a   Ruan, Shigui ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b Department of Biology   (United States)

Author keywords

Backward bifurcation; Epidemic model; Nonlinear incidence rate; Stability; Treatment rate

Indexed keywords

ANALYTICAL RESULTS; BACKWARD BIFURCATION; BASIC REPRODUCTION NUMBER; DISEASE-FREE EQUILIBRIUM; ENDEMIC EQUILIBRIUM; EPIDEMIC MODELS; EXISTENCE AND STABILITY; LIMIT CYCLE; NONLINEAR INCIDENCE RATES; SIR EPIDEMIC MODEL; SUFFICIENT CONDITIONS; TREATMENT RATE; VERTICAL TRANSMISSION;

BIFURCATION (MATHEMATICS); CONVERGENCE OF NUMERICAL METHODS; VACCINES;

DISEASE CONTROL;

DISEASE INCIDENCE; DISEASE TREATMENT; EPIDEMIC; NONLINEARITY; NUMERICAL MODEL; VACCINATION; VERTICAL TRANSMISSION;

ARTICLE; DISEASE FREE INTERVAL; ENDEMIC DISEASE; EPIDEMIC; INCIDENCE; INFECTION CONTROL; INFECTION SENSITIVITY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; NEWBORN CARE; NONLINEAR SYSTEM; SIMULATION; TREATMENT PLANNING; VACCINATION; VERTICAL TRANSMISSION;

BASIC REPRODUCTION NUMBER; COMMUNICABLE DISEASES; COMPUTER SIMULATION; EPIDEMICS; HUMANS; INCIDENCE; INFANT, NEWBORN; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; VACCINATION;

EID: 84861580234     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2012.03.010     Document Type: Article

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