Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure

Communications in Nonlinear Science and Numerical Simulation

Volumn 6, Issue 4, 2001, Pages 205-209

  Lu, Zhonghua ^a,b   Liu, Xianning ^a,c   Chen, Lansun ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

^b Department of Theory   (China)

^c SOUTHWEST UNIVERSITY   (China)

Author keywords

Disease free equilibrium; Endemic equilibrium; Hopf bifurcation; SIR epidemiological model

Indexed keywords

BIFURCATION (MATHEMATICS); DISEASES; EPIDEMIOLOGY;

EPIDEMIOLOGICAL MODELS; HOPF BIFURCATION; NONLINEAR INCIDENCE RATES; PERIODIC SOLUTIONS;

NONLINEAR SYSTEMS;

MATHEMATICAL ANALYSIS;

EID: 16844378580     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(01)90015-2     Document Type: Article

References (5)

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4. Bernard, O. and Souissi, Qualitative behavior of stage-statured population: Application to structural validation, J. Math. Biol., 1998, 37: 291-308
5. Cui, J. and Chen, L. S., The effect of dispersal on population growth with stage-structure, Computers and Mathematics with Applications, 2000, 39: 91-102