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Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 12/2018, Volume 458, pp. 119 - 124
Brazilian Spotted Fever (BSF) is an emerging and lethal disease in South America which basic reproduction number ( ) is unknown. Calculating for this disease... 
Prevention | Basic reproduction number | Emerging diseases | Brazilian spotted fever | INFECTIONS | PERSISTENCE | BORNE ENCEPHALITIS-VIRUS | AMBLYOMMA-CAJENNENSE | TRANSMISSION | MODELS | R-0 | RICKETTSIA-RICKETTSII | TICKS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | LYME-DISEASE | Disease transmission | Parasitic diseases | Epidemiology | Analysis
Journal Article
PloS one, 2018, Volume 13, Issue 4, p. e0191257
The popularly known 20-80 rule or Pareto rule states that 20% of efforts leads to 80% of results. This rule has been applied to the study of infection... 
Likelihood Functions | Animals | Cattle | Communicable Diseases - epidemiology | Basic Reproduction Number | Farms - statistics & numerical data | Cattle Diseases - epidemiology | Communicable Diseases - veterinary
Journal Article
PLoS ONE, ISSN 1932-6203, 04/2018, Volume 13, Issue 4, pp. e0191257 - e0191257
The popularly known 20-80 rule or Pareto rule states that 20% of efforts leads to 80% of results. This rule has been applied to the study of infection... 
DISEASE-CONTROL | MOVEMENTS | RISK-BASED SURVEILLANCE | PROGRAMS | MULTIDISCIPLINARY SCIENCES | Beef cattle | Social networks | Usage | Disease transmission | Analysis | Networks | Correlation | Disease control | Amplification | Reproduction | Infectious diseases | Animals | Surveillance | Cattle | Farms | Expected values | Food safety | Internet | Index Medicus
Journal Article
Mathematical Biosciences, ISSN 0025-5564, 09/2019, Volume 315, pp. 108224 - 108224
In this paper, we provide a straightforward approach to defining and deriving the key epidemiological quantity, the basic reproduction number, , for Markovian... 
SIS epidemics | Basic reproduction number | Household epidemic model | Sexually transmitted diseases | SIR epidemics | Index Medicus
Journal Article
by Magal, P and Webb, GF and Wu, YX
SIAM JOURNAL ON APPLIED MATHEMATICS, ISSN 0036-1399, 2019, Volume 79, Issue 1, pp. 284 - 304
The basic reproduction number R-0 serves as a threshold parameter of many epidemic models for disease extinction or spread. The purpose of this paper is to... 
EIGENVALUE | epidemic models | MATHEMATICS, APPLIED | reaction-diffusion | ASYMPTOTIC PROFILES | STEADY-STATES | HOST-PATHOGEN SYSTEM | DYNAMICS | basic reproduction number
Journal Article
JOURNAL OF MATHEMATICAL BIOLOGY, ISSN 0303-6812, 07/2019, Volume 79, Issue 2, pp. 731 - 764
In the previous paper (Inaba in J Math Biol 65:309-348, 2012), we proposed a new (most biologically natural) definition of the basic reproduction number R-0... 
GLOBAL BEHAVIOR | DEFINITION | Cone spectral radius | Basic reproduction number | THRESHOLD | Orbital spectral radius | MAPS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | VECTOR-BORNE DISEASES | Generation evolution operator | SIS EPIDEMIC MODEL | Usage | Mathematical models | Models | Number theory | Population biology
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 12/2018, Volume 115, Issue 50, pp. 12680 - 12685
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 02/2019, Volume 462, Issue C, pp. 381 - 390
An approach to estimate the influence of the treatment-type controls on the basic reproduction number, , is proposed and elaborated. The presented approach... 
Basic reproduction number | Next generation matrix | Treatment | Compartmental epidemic model | Disease control | HIV | R-0 | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DYNAMICS | COINFECTION | MODEL | Epidemics | Analysis | Life Sciences | Biodiversity | Populations and Evolution | BASIC BIOLOGICAL SCIENCES | Biological Science
Journal Article
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 02/2012, Volume 89, Issue 3, pp. 334 - 346
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 7/2019, Volume 79, Issue 2, pp. 731 - 764
In the previous paper (Inaba in J Math Biol 65:309–348, 2012), we proposed a new (most biologically natural) definition of the basic reproduction number... 
Cone spectral radius | Basic reproduction number | 92D30 | Orbital spectral radius | 92D25 | Mathematical and Computational Biology | Mathematics | Applications of Mathematics | Generation evolution operator
Journal Article