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The Basic Reproduction Number

Estimation of the basic reproduction number of measles during an outbreak in a partially vaccinated population

Estimation of the basic reproduction number of measles during an outbreak in a partially vaccinated population

... the number of susceptibles remaining after the epidemic which we might have underestimated due to parental recall ...the basic reproduction ...the basic reproduction number only ...

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Threshold Dynamics of a Vector Borne Epidemic Model for Huanglongbing with Impulsive Control

Threshold Dynamics of a Vector Borne Epidemic Model for Huanglongbing with Impulsive Control

... the basic reproduction number is calculated for Huanglongbing (HLB) model with impulses which is a vector-borne epidemic model with ...the basic reproduction number R 0 < 1 , ...

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The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale Free Network

The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale Free Network

... An SIRS model with discrete delay has been proposed for investigating the dynamical behaviors of the epidem- ics on scale-free networks. Through mathematical analysis, we obtained the basic reproduction ...

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Mathematical Modeling Applied to Understand the Dynamical Behavior of HIV Infection

Mathematical Modeling Applied to Understand the Dynamical Behavior of HIV Infection

... Basic reproduction number represents the average number of secondary infection caused by a single infected T cell in an entirely susceptible T cell population, throughout its ...the ...

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Vector competence, vectorial capacity of Nyssorhynchus darlingi and the basic reproduction number of Plasmodium vivax in agricultural settlements in the Amazonian Region of Brazil

Vector competence, vectorial capacity of Nyssorhynchus darlingi and the basic reproduction number of Plasmodium vivax in agricultural settlements in the Amazonian Region of Brazil

... and the mosquito magnet trap, among other trap types [34–37]. In the current study, the number of Ny. dar- lingi mosquitoes on HLC collectors ranged from 23 to 66 specimens per collector per 6 h night (Table 1). ...

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Proof of conjecture in : The basic reproduction number obtained from Jacobian and next generation matrices—A case study of dengue transmission modelling

Proof of conjecture in : The basic reproduction number obtained from Jacobian and next generation matrices—A case study of dengue transmission modelling

... In [9], from the Jacobian and next generation matrices, the stability of the disease free equi- librium (DFE) was assessed. Briefly, the application of the Routh–Hurwitz criteria to the coefficients of the characteristic ...

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Spreading Dynamic of a PLSGP Giving up Smoking Model on Scale Free Network

Spreading Dynamic of a PLSGP Giving up Smoking Model on Scale Free Network

... We divide the smoker into two groups, light smoker and persistent smoker, con- sidering individual’s birth and death rates. Through the mathematical calcula- tion, we obtain the basic reproduction ...

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Age patterns and transmission characteristics of hand, foot and mouth disease in China

Age patterns and transmission characteristics of hand, foot and mouth disease in China

... the basic reproduction number varied geographically in China; 2) patterns of the age-specific force of infection for 30 provinces were similar to that of childhood infections in developed countries; ...

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Asymptotic Periodicity in the Fecally Orally Epidemic Model in a Heterogeneous Environment

Asymptotic Periodicity in the Fecally Orally Epidemic Model in a Heterogeneous Environment

... the basic reproduction number is introduced and shows that it plays an important role in the existence and non-existence of a positive T-periodic ...the basic reproduction number ...

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A multispecies model for the transmission and control of mastitis in dairy cows

A multispecies model for the transmission and control of mastitis in dairy cows

... in basic re- production number reported by Lam et ...the basic reproduction number during an outbreak of major ...in basic reproduction number of major pathogens ...

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Stability of a Delayed SIQRS Model with Temporary Immunity

Stability of a Delayed SIQRS Model with Temporary Immunity

... the number of cases and ...the basic reproduc- tive number, which quantifies the number of secondary infections arise from a simply put infected in a popula- tion of ...the basic ...

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Inferring R0 in emerging epidemics: the effect of common population structure is small

Inferring R0 in emerging epidemics: the effect of common population structure is small

... The three kinds of infectious contact structure studied are car- icatures of actual social structures. Those actual structures may contain features of all three caricatures, and reflect small social groups such as school ...

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Is a reproduction number of one a threshold for Plasmodium falciparum malaria elimination?

Is a reproduction number of one a threshold for Plasmodium falciparum malaria elimination?

... The basic reproduction number (R 0 ) is an important summary of the dynamics of an infectious ...a number of studies using simple models have suggested that for malaria, it is in theory ...

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A dynamic model and some strategies on how to prevent and control hepatitis c in mainland China

A dynamic model and some strategies on how to prevent and control hepatitis c in mainland China

... the basic reproduction number to determine several param- eters that have the most influential parameters on the prevalence and transmission of hepatitis ...the number of the basic ...

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A General Model for Hepatitis B Disease with Age Dependent Susceptibility and Transmission Probabilities

A General Model for Hepatitis B Disease with Age Dependent Susceptibility and Transmission Probabilities

... The work is organized as follows. After the presentation of the mathematical model with its main results, Section 2 studies the well posedness of the PDE and derives preliminary results useful to study the long-term ...

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A stochastic SIS epidemic model with heterogeneous contacts.

A stochastic SIS epidemic model with heterogeneous contacts.

... the number of infected individuals, the length of an outbreak, the maximum number of infectives, and the number of infections suf- fered by a marked individual during an ...The basic ...

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Sow body condition at weaning and reproduction performance in organic piglet production

Sow body condition at weaning and reproduction performance in organic piglet production

... Table I presents herd size, layout and management practices in the herds. Herd size varied from 50 to 400 sows (mean 176 sows). In all herds, the sows were kept outdoors during the entire lactation period and also during ...

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Variability in transmissibility of the 2009 H1N1 pandemic in Canadian communities

Variability in transmissibility of the 2009 H1N1 pandemic in Canadian communities

... Daily number of laboratory-confirmed cases of H1N1 influenza infection were obtained from influenza data- bases of Manitoba Health for both waves of the 2009 pandemic in spring (total of 891 cases between May 2 ...

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Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies

Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies

... the number of infective individu- als increase due to the fact that the population may tend to reduce the number of contacts per unit time under intervention ...

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Global Analysis of an SEIR Epidemic Model with a Ratio Dependent Nonlinear Incidence Rate

Global Analysis of an SEIR Epidemic Model with a Ratio Dependent Nonlinear Incidence Rate

... In this paper, we consider the SEIR epidemic model which is different from the classical nonlinear incident rate. We assume that the infectious force is a func- tion of a number ratio of the infective to that of ...

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