Basic reproduction number ($R_0$)
The basic reproduction number of African trypanosomiasis disease with a periodic vector population and vertical transmission
... The section division of the article is as follows. Section 2 presents the system of differential equations used to model the epidemic. Section 3 analyzes the model, in particular the stability of the infection-free ...
17
Estimation of basic reproduction number of the Middle East respiratory syndrome coronavirus (MERS-CoV) during the outbreak in South Korea, 2015
... average number of secondary cases that an infected subject produces over its infectious period in a susceptible and uninfected population ...The basic reproduction number of an epidemic is ...
11
Threshold dynamics of a delayed predator–prey model with impulse via the basic reproduction number
... the basic reproduction number for the ...the basic reproduction number, we consider the global attraction of the predator-free periodic solution and persistence of the predator ...
13
Estimation of the basic reproduction number of measles during an outbreak in a partially vaccinated population
... the basic reproduction number R ! of measles during an outbreak in a vaccinated ...the basic reproduction number R ! relies on age- serological profiles obtained prior to the ...
7
A Probabilistic Estimation of the Basic Reproduction Number: A Case of Control Strategy of Pneumonia
... The basic reproduction number is defined as the expected number of secondary infections realized when an infected individual is introduced into a purely susceptible ...the basic ...
7
The basic reproduction number of plant pathogens: matrix approaches to complex dynamics
... Equation 15 can also be written in the more compact form A = RT, with R and T denoting the matrices of rates and times, respectively. Readers not familiar with matrix multiplication can either take equations 14 and 15 as ...
12
Estimating the basic reproduction number for single-strain dengue fever epidemics
... a number of deterministic mathematical models have been proposed to analyze the transmission dynamics of dengue in urban communities ...the basic reproduction number for dengue using spatial ...
17
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 ...
8
An Introduction to The Basic Reproduction Number in Mathematical Epidemiology★
... of basic reproduction number in mathematical epidemiology and to illustrate its usefulness through several examples, with biological as well as mathematical ...
16
Vector competence, vectorial capacity of Nyssorhynchus darlingi and the basic reproduction number of Plasmodium vivax in agricultural settlements in the Amazonian Region of Brazil
... Mathematical models play an important role in inves- tigating the mechanisms and processes that determine the transmission of malaria, and thus for malaria con- trol and elimination. The mathematical models proposed by ...
15
LOGISTIC MATHEMATICAL MODEL OF EBOLA VIRUS DISEASE WITH CONVALESCENCE
... the basic reproduction number', R_0, in which R_0<1 guarantees a disease free state that is locally and globally asymptotically ...
14
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 ...
16
Study of the brucellosis transmission with multi-stage
... the basic reproduction num- ber, that is to see that how is the parameters will influence ...the basic reproduction number decreases with the increase of ...the basic ...
14
Understanding The Dynamics Of Corruption Using Mathematical Modeling Approach
... 4. Conclusion: In this paper, a mathematical model with standard incidence that investigates the dynamics of corruption as a disease was formulated and analysed. Local stability analysis of the corruption-free and ...
8
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 ...
11
Dynamical response by the instant buyer and thinker buyer in an innovation diffusion marketing model with media coverage
... and Basic influence numbers(BINs) of the model is ...the basic reproduction number and variables about the parameters of the model has been examined for the internal steady ...
24
The influenza pandemic preparedness planning tool InfluSim
... Basic reproduction number Relative contagiousness during the early infectious phase Relative contagiousness of asymptomatic cases Relative contagiousness of moderately sick cases Relativ[r] ...
14
Outbreaks of Streptococcus pneumoniaecarriage in day care cohorts in Finland – implications for elimination of transmission
... individual-to-individual basic reproduction number for a pneumococcal serotype was estimated as ...low reproduction number corresponds well to an SIS type of infection (pneumococcal ...
13
Age patterns and transmission characteristics of hand, foot and mouth disease in China
... give us guidelines on immunization coverage rate before we know the exact contact matrix of HFMD transmission in China. Because HFMD has lower average age at infection and a higher basic reproduction ...
12
The effects of an imperfect vaccine on cholera control
... In this paper, we consider a SVIR-B cholera model with imperfect vaccination. By analyzing the corre- sponding characteristic equations, the local asymp- totically stability of a disease-free equilibrium and an endemic ...
10