Endemic models with arbitrarily distributed periods of infection I: Fundamental properties of the model

SIAM Journal on Applied Mathematics

Volumn 61, Issue 3, 2000, Pages 803-833

  Feng, Zhilan ^a   Thieme, Horst R ^b  

^a PURDUE UNIVERSITY   (United States)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Abstract Cauchy problems; Arbitrary stage durations; Endemic equilibrium; Integrated semigroups; Many infection stages; Persistence; Semiflows; Stage (or class) age; Volterra integral equations

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; DISEASES; EPIDEMIOLOGY; INTEGRAL EQUATIONS; INTEGRATION; LAPLACE TRANSFORMS; POLES AND ZEROS;

ABSTRACT CAUCHY PROBLEMS; ARBITRARY STAGE DURATIONS; ENDEMIC EQUILIBRIUM; INFECTION STAGES; INTEGRATED SEMIGROUPS; STAGE AGE; VOLTERRA INTEGRAL EQUATIONS;

MATHEMATICAL MODELS;

EID: 0034923771     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139998347834     Document Type: Article

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