A note on the total size distribution of carrier-borne epidemic models

1990 ◽  
Vol 27 (04) ◽  
pp. 908-912
Author(s):  
Frank Ball
Keyword(s):  
Size Distribution ◽  
Epidemic Models ◽  
Coupling Method ◽  
Total Size

The coupling method of Ball (1986) is extended to carrier-borne epidemics, thus providing a new proof of a result of Daniels (1972) concerning the total size distribution of Downton's stochastic carrier-borne epidemic. The generalization to multipopulation carrier-borne epidemics is immediate.

A note on the total size distribution of carrier-borne epidemic models

1990 ◽  
Vol 27 (4) ◽  
pp. 908-912 ◽  
Author(s):  
Frank Ball
Keyword(s):  
Size Distribution ◽  
Epidemic Models ◽  
Coupling Method ◽  
Total Size

The coupling method of Ball (1986) is extended to carrier-borne epidemics, thus providing a new proof of a result of Daniels (1972) concerning the total size distribution of Downton's stochastic carrier-borne epidemic. The generalization to multipopulation carrier-borne epidemics is immediate.

A note on the total size distribution of epidemic models

1986 ◽  
Vol 23 (03) ◽  
pp. 832-836 ◽  
Author(s):  
Frank Ball
Keyword(s):  
Size Distribution ◽  
Epidemic Models ◽  
Total Size ◽  
Stochastic Epidemic ◽  
General Stochastic

A simple coupling argument is used to obtain a new proof of a result of Daniels (1967) concerning the total size distribution of the general stochastic epidemic. The proof admits a straightforward generalisation to multipopulation epidemics and indicates that similar results are unlikely to be available for epidemics with non-exponential infectious periods.

A note on the total size distribution of epidemic models

1986 ◽  
Vol 23 (3) ◽  
pp. 832-836 ◽  
Author(s):  
Frank Ball
Keyword(s):  
Size Distribution ◽  
Epidemic Models ◽  
Total Size ◽  
Stochastic Epidemic ◽  
General Stochastic

A simple coupling argument is used to obtain a new proof of a result of Daniels (1967) concerning the total size distribution of the general stochastic epidemic. The proof admits a straightforward generalisation to multipopulation epidemics and indicates that similar results are unlikely to be available for epidemics with non-exponential infectious periods.

Asymptotic analysis of the general stochastic epidemic with variable infectious periods

2001 ◽  
Vol 38 (01) ◽  
pp. 18-35 ◽  
Author(s):  
A. N. Startsev
Keyword(s):  
Asymptotic Analysis ◽  
Asymptotic Behaviour ◽  
Size Distribution ◽  
Random Variables ◽  
Independent Random Variables ◽  
Boundary Crossing ◽  
Total Size ◽  
Stochastic Epidemic ◽  
General Stochastic

A generalisation of the classical general stochastic epidemic within a closed, homogeneously mixing population is considered, in which the infectious periods of infectives follow i.i.d. random variables having an arbitrary but specified distribution. The asymptotic behaviour of the total size distribution for the epidemic as the initial numbers of susceptibles and infectives tend to infinity is investigated by generalising the construction of Sellke and reducing the problem to a boundary crossing problem for sums of independent random variables.

Some comparison results for multitype epidemic models

1994 ◽  
Vol 31 (01) ◽  
pp. 9-21 ◽  
Author(s):  
Damian Clancy
Keyword(s):  
Epidemic Models ◽  
Current Group ◽  
Total Size ◽  
Comparison Results

We consider a model for the spread of an epidemic through a population divided into m groups, in which infectives move from group to group and infect only within their current group. For both deterministic and stochastic versions of this model, the effect on the total size of the epidemic of varying the speed with which infectives move between groups is considered. We also compare the distribution of the total size of this model with that of a suitably matched model in which infectives cannot move between groups, but are able to infect outside their own group.

Some comparison results for multitype epidemic models

1994 ◽  
Vol 31 (1) ◽  
pp. 9-21 ◽  
Author(s):  
Damian Clancy
Keyword(s):  
Epidemic Models ◽  
Current Group ◽  
Total Size ◽  
Comparison Results

We consider a model for the spread of an epidemic through a population divided into m groups, in which infectives move from group to group and infect only within their current group. For both deterministic and stochastic versions of this model, the effect on the total size of the epidemic of varying the speed with which infectives move between groups is considered. We also compare the distribution of the total size of this model with that of a suitably matched model in which infectives cannot move between groups, but are able to infect outside their own group.

On the size distribution for some epidemic models

1980 ◽  
Vol 17 (4) ◽  
pp. 912-921 ◽  
Author(s):  
Ray Watson
Keyword(s):  
Size Distribution ◽  
Epidemic Model ◽  
Time Scale ◽  
Epidemic Models ◽  
Random Time ◽  
Scale Transformation ◽  
Asymptotic Approximations

We consider the standard epidemic model and several extensions of this model, including Downton's carrier-borne epidemic model. A random time-scale transformation is used to obtain equations for the size distribution and to derive asymptotic approximations for the size distribution for each of the models

scholarly journals Coupling of Two SIR Epidemic Models with Variable Susceptibilities and Infectivities

2007 ◽  
Vol 44 (01) ◽  
pp. 41-57 ◽  
Author(s):  
Peter Neal
Keyword(s):  
Size Distribution ◽  
Random Graph ◽  
Epidemic Model ◽  
Epidemic Models ◽  
Final Size ◽  
Sir Epidemic ◽  
Novel Approach ◽  
Stochastic Epidemic ◽  
Sir Epidemic Models ◽  
Variable Susceptibility

The variable generalised stochastic epidemic model, which allows for variability in both the susceptibilities and infectivities of individuals, is analysed. A very different epidemic model which exhibits variable susceptibility and infectivity is the random-graph epidemic model. A suitable coupling of the two epidemic models is derived which enables us to show that, whilst the epidemics are very different in appearance, they have the same asymptotic final size distribution. The coupling provides a novel approach to studying random-graph epidemic models.

On the size distribution for some epidemic models

1980 ◽  
Vol 17 (04) ◽  
pp. 912-921 ◽  
Author(s):  
Ray Watson
Keyword(s):  
Size Distribution ◽  
Epidemic Model ◽  
Time Scale ◽  
Epidemic Models ◽  
Random Time ◽  
Scale Transformation ◽  
Asymptotic Approximations

We consider the standard epidemic model and several extensions of this model, including Downton's carrier-borne epidemic model. A random time-scale transformation is used to obtain equations for the size distribution and to derive asymptotic approximations for the size distribution for each of the models

scholarly journals SEBARAN UKURAN DAN BEBERAPA PARAMETER POPULASI HIU KARET (Prionace glauca Linnaeus, 1758) YANG TERTANGKAP DI PERAIRAN SELATAN NUSA TENGGARA

2017 ◽  
Vol 23 (2) ◽  
pp. 67
Author(s):  
Agus Arifin Sentosa ◽  
Umi Chodrijah ◽  
Irwan Jatmiko
Keyword(s):  
Sex Ratio ◽  
Size Distribution ◽  
Empirical Formula ◽  
Total Sample ◽  
Population Parameters ◽  
Optimum Length ◽  
Total Size ◽  
Blue Shark ◽  
Prionace Glauca ◽  
Over Exploitation

Hiu karet (Prionace glauca) adalah hiu pelagis yang menjadi target tangkapan nelayan artisanal Tanjung Luar dan umumnya tertangkap di Samudera Hindia Selatan Nusa Tenggara. Penelitian ini bertujuan untuk mengetahui sebaran ukuran dan beberapa parameter populasi hiu karet (Prionace glauca) yang tertangkap di perairan selatan Nusa Tenggara. Analisis dilakukan terhadap 1.414 ekor hiu karet yang tertangkap rawai hanyut di selatan Nusa Tenggara dan didaratkan di Tanjung Luar, Lombok Timur selama periode 2014 – 2016. Analisis data dilakukan secara deskriptif dan beberapa parameter populasi diduga menurut rumus empiris Froese & Binohlan (2000). Hasil penelitian menunjukkan sebaran ukuran panjang total hiu karet berkisar antara 95 – 383 cm (jantan) dan 113 – 333 cm (betina) dengan rerata ukuran yang tertangkap tidak berbeda nyata. Nisbah kelamin didominasi oleh hiu karet jantan dan telah matang kelamin. Dugaan terhadap beberapa parameter adalah: nilai L∞ antara 333,02 - 385,59 cm dengan Lm jantan antara 187,21 – 215 cm dan betina 139,82 – 159,34 cm. Sebanyak 39,96 – 44,71% hiu karet tertangkap pada panjang optimumnya sehingga ada kecenderungan tangkap lebih.The blue shark (Prionace glauca) is targeted pelagic shark of artisanal fishermen of Tanjung Luar and commonly caught from the southern part of Nusa Tenggara water. The research aims to determine the size distribution and some population parameters of blue shark (Prionace glauca) caught in the Southern part of Nusa Tenggara water. The analysis was performed on 1,414 blue sharks caught by drifting longlines in the Southern part of Nusa Tenggara water and landed at Tanjung Luar, East Lombok during the period 2014 - 2016. The data were analyzed descriptively and some parameters of the population were calculated by the empirical formula from Froese & Binohlan (2000). The results showed that the length total size distribution of blue sharks ranged between 95-383 cm (male) and 113-333 cm (females). The sex ratio was dominated by male shark. The estimation of population parameters of shark were L∞ ranged between 333.02 - 385.59 cm, Lm estimated ranged between 187.21 to 215 cm (male) and from 139.82 to 159.34 cm (female). About 39.96 to 44.71% of total sample was caught at its optimum length, so it tends to be over exploitation. 

Sign in / Sign up

Export Citation Format

Share Document