Sex ratio features of two-group SIR model for asymmetrie transmission of heterosexual disease
Identifieur interne : 001C80 ( Main/Merge ); précédent : 001C79; suivant : 001C81Sex ratio features of two-group SIR model for asymmetrie transmission of heterosexual disease
Auteurs : C. Koide [Japon] ; H. Seno [Japon]Source :
- Mathematical and Computer Modelling [ 0895-7177 ] ; 1996.
English descriptors
- Teeft :
- Asymmetric, Asymmetric structure, Asymmetric transmission, Asymptotic behaviour, Birth rate, Converges, Death rate, Differential equation, Early spread, Early stage, Eigenvalue analysis, Epidemic dynamics, Equilibrium state, Equilibrium states, Exponential manner, Extinctive state, Female population, Finite value, Genital, Genital herpes, Herpes, Heterosexual, Heterosexual disease, Incidence ratio, Incidence ratios, Infectious disease, Infective, Infective population, Infectives, Initial state, Jacobian matrix, Koide, Local stability, Male population, Mathematical biology, Mathematical ecology, Model structure, Modelling, Nontrivial, Nontrivial equilibrium, Nontrivial equilibrium state, Other hand, Other parameters, Other stds, Population dynamics, Population size, Population structure, Ratio population, Recovery rate, Same line, Seno, Sexual groups, Social background, Stationary state, Statistical data, Std, Structural difference, Sufficient condition, Susceptible individuals, Susceptible population, Syphilis, Temporal variation, Total analysis, Total population, Transmission dynamics, Transmission rate, Transmission rates, Trivial equilibrium, Vertical transmission.
Abstract
Abstract: We consider the SIR model with two sexual groups to discuss the effect of the asymmetricity in the transmission dynamics of STDs. It is shown that the asymmetric transmission between two groups results in the asymmetric structure of infective populations.
Url:
DOI: 10.1016/0895-7177(96)00004-0
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<profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Asymmetric</term>
<term>Asymmetric structure</term>
<term>Asymmetric transmission</term>
<term>Asymptotic behaviour</term>
<term>Birth rate</term>
<term>Converges</term>
<term>Death rate</term>
<term>Differential equation</term>
<term>Early spread</term>
<term>Early stage</term>
<term>Eigenvalue analysis</term>
<term>Epidemic dynamics</term>
<term>Equilibrium state</term>
<term>Equilibrium states</term>
<term>Exponential manner</term>
<term>Extinctive state</term>
<term>Female population</term>
<term>Finite value</term>
<term>Genital</term>
<term>Genital herpes</term>
<term>Herpes</term>
<term>Heterosexual</term>
<term>Heterosexual disease</term>
<term>Incidence ratio</term>
<term>Incidence ratios</term>
<term>Infectious disease</term>
<term>Infective</term>
<term>Infective population</term>
<term>Infectives</term>
<term>Initial state</term>
<term>Jacobian matrix</term>
<term>Koide</term>
<term>Local stability</term>
<term>Male population</term>
<term>Mathematical biology</term>
<term>Mathematical ecology</term>
<term>Model structure</term>
<term>Modelling</term>
<term>Nontrivial</term>
<term>Nontrivial equilibrium</term>
<term>Nontrivial equilibrium state</term>
<term>Other hand</term>
<term>Other parameters</term>
<term>Other stds</term>
<term>Population dynamics</term>
<term>Population size</term>
<term>Population structure</term>
<term>Ratio population</term>
<term>Recovery rate</term>
<term>Same line</term>
<term>Seno</term>
<term>Sexual groups</term>
<term>Social background</term>
<term>Stationary state</term>
<term>Statistical data</term>
<term>Std</term>
<term>Structural difference</term>
<term>Sufficient condition</term>
<term>Susceptible individuals</term>
<term>Susceptible population</term>
<term>Syphilis</term>
<term>Temporal variation</term>
<term>Total analysis</term>
<term>Total population</term>
<term>Transmission dynamics</term>
<term>Transmission rate</term>
<term>Transmission rates</term>
<term>Trivial equilibrium</term>
<term>Vertical transmission</term>
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<front><div type="abstract" xml:lang="en">Abstract: We consider the SIR model with two sexual groups to discuss the effect of the asymmetricity in the transmission dynamics of STDs. It is shown that the asymmetric transmission between two groups results in the asymmetric structure of infective populations.</div>
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