-
1
-
-
0033979874
-
Comparison of deterministic and stochastic SIS and SIR models in discrete time
-
Allen L.J.S., Burgin A.M. Comparison of deterministic and stochastic SIS and SIR models in discrete time. Math. Biosci. 2000, 163:1-33.
-
(2000)
Math. Biosci.
, vol.163
, pp. 1-33
-
-
Allen, L.J.S.1
Burgin, A.M.2
-
5
-
-
38349008670
-
Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
-
Artalejo J.R., Economou A., Lopez-Herrero M.J. Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes. Math. Biosci. Eng. 2007, 4:573-594.
-
(2007)
Math. Biosci. Eng.
, vol.4
, pp. 573-594
-
-
Artalejo, J.R.1
Economou, A.2
Lopez-Herrero, M.J.3
-
7
-
-
0001892427
-
-
Deterministic and stochastic models for recurrent epidemics. In: Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability University California Press, Berkeley and Los Angeles
-
Bartlett, M.S., 1956. Deterministic and stochastic models for recurrent epidemics. In: Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, vol. 4, University California Press, Berkeley and Los Angeles, pp. 81-109.
-
(1956)
, vol.4
, pp. 81-109
-
-
Bartlett, M.S.1
-
8
-
-
0034701978
-
Approximations of quasi-stationary distributions for Markov chains
-
Breyer L.A., Hart A.G. Approximations of quasi-stationary distributions for Markov chains. Math. Comput. Model 2000, 31:69-79.
-
(2000)
Math. Comput. Model
, vol.31
, pp. 69-79
-
-
Breyer, L.A.1
Hart, A.G.2
-
9
-
-
32144452387
-
The intermediate dispersal principle in spatially explicit metapopulations
-
Casagrandi R., Gatto M. The intermediate dispersal principle in spatially explicit metapopulations. J. Theor. Biol. 2006, 239:22-32.
-
(2006)
J. Theor. Biol.
, vol.239
, pp. 22-32
-
-
Casagrandi, R.1
Gatto, M.2
-
10
-
-
0000851843
-
Quasi-stationary distributions of birth-and-death processes
-
Cavender J.A. Quasi-stationary distributions of birth-and-death processes. Adv. Appl. Probab. 1978, 10:570-586.
-
(1978)
Adv. Appl. Probab.
, vol.10
, pp. 570-586
-
-
Cavender, J.A.1
-
11
-
-
0242508316
-
A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic
-
Clancy D., Pollett P.K. A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic. J. Appl. Probab. 2003, 40:821-825.
-
(2003)
J. Appl. Probab.
, vol.40
, pp. 821-825
-
-
Clancy, D.1
Pollett, P.K.2
-
12
-
-
27944465693
-
A stochastic SIS infection model incorporating indirect transmission
-
Clancy D. A stochastic SIS infection model incorporating indirect transmission. J. Appl. Probab. 2005, 42:726-737.
-
(2005)
J. Appl. Probab.
, vol.42
, pp. 726-737
-
-
Clancy, D.1
-
13
-
-
76849083429
-
Bayesian estimation of the basic reproduction number in stochastic epidemic models
-
Clancy D., O'Neill P.D. Bayesian estimation of the basic reproduction number in stochastic epidemic models. Bayesian Anal. 2008, 3:737-758.
-
(2008)
Bayesian Anal.
, vol.3
, pp. 737-758
-
-
Clancy, D.1
O'Neill, P.D.2
-
15
-
-
33751577213
-
Quasi-stationary distributions for a class of discrete-time Markov chains
-
Coolen-Schrijner P., van Doorn E. Quasi-stationary distributions for a class of discrete-time Markov chains. Methodol. Comput. Appl. Probab. 2006, 8:449-465.
-
(2006)
Methodol. Comput. Appl. Probab.
, vol.8
, pp. 449-465
-
-
Coolen-Schrijner, P.1
van Doorn, E.2
-
17
-
-
0003063241
-
On quasi-stationary distributions in absorbing discrete-time finite Markov chains
-
Darroch J.N., Seneta E. On quasi-stationary distributions in absorbing discrete-time finite Markov chains. J. Appl. Probab. 1965, 2:88-100.
-
(1965)
J. Appl. Probab.
, vol.2
, pp. 88-100
-
-
Darroch, J.N.1
Seneta, E.2
-
18
-
-
0001383449
-
On quasi-stationary distributions in absorbing continuous-time finite Markov chains
-
Darroch J.N., Seneta E. On quasi-stationary distributions in absorbing continuous-time finite Markov chains. J. Appl. Probab. 1967, 4:192-196.
-
(1967)
J. Appl. Probab.
, vol.4
, pp. 192-196
-
-
Darroch, J.N.1
Seneta, E.2
-
19
-
-
0008793971
-
The diffusion equation and a pseudo-distribution in genetics
-
Ewens W.J. The diffusion equation and a pseudo-distribution in genetics. J. R. Statist. Soc. B 1963, 25:405-412.
-
(1963)
J. R. Statist. Soc. B
, vol.25
, pp. 405-412
-
-
Ewens, W.J.1
-
20
-
-
38649132856
-
Impact of myxomatosis in relation to local persistence in wild rabbit populations: the role of waning immunity and the reproductive period
-
Fouchet D., Guitton J.S., Marchandeau S., Pontier D. Impact of myxomatosis in relation to local persistence in wild rabbit populations: the role of waning immunity and the reproductive period. J. Theor. Biol. 2008, 250:593-605.
-
(2008)
J. Theor. Biol.
, vol.250
, pp. 593-605
-
-
Fouchet, D.1
Guitton, J.S.2
Marchandeau, S.3
Pontier, D.4
-
22
-
-
0000311552
-
On the extinction of the S-I-S stochastic logistic epidemic
-
Kryscio R.J., Lefèvre C. On the extinction of the S-I-S stochastic logistic epidemic. J. Appl. Probab. 1989, 27:685-694.
-
(1989)
J. Appl. Probab.
, vol.27
, pp. 685-694
-
-
Kryscio, R.J.1
Lefèvre, C.2
-
24
-
-
0034104344
-
The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters
-
Lee C. The density of the extinction probability of a time homogeneous linear birth and death process under the influence of randomly occurring disasters. Math. Biosci. 2000, 164:93-102.
-
(2000)
Math. Biosci.
, vol.164
, pp. 93-102
-
-
Lee, C.1
-
25
-
-
39649083110
-
On the time to extinction for a two-type version of Bartlett's epidemic model
-
Lindholm M. On the time to extinction for a two-type version of Bartlett's epidemic model. Math. Biosci. 2008, 212:99-108.
-
(2008)
Math. Biosci.
, vol.212
, pp. 99-108
-
-
Lindholm, M.1
-
26
-
-
0000635179
-
The quasi-stationary distribution of the closed endemic SIS model
-
Nåsell I. The quasi-stationary distribution of the closed endemic SIS model. Adv. Appl. Probab. 1996, 28:895-932.
-
(1996)
Adv. Appl. Probab.
, vol.28
, pp. 895-932
-
-
Nåsell, I.1
-
27
-
-
2542509066
-
On the quasi-stationary distribution of the stochastic logistic epidemic
-
Nåsell I. On the quasi-stationary distribution of the stochastic logistic epidemic. Math. Biosci. 1999, 156:21-40.
-
(1999)
Math. Biosci.
, vol.156
, pp. 21-40
-
-
Nåsell, I.1
-
28
-
-
0033475339
-
On the time to extinction in recurrent epidemics
-
Nåsell I. On the time to extinction in recurrent epidemics. J. R. Statist. Soc. B 1999, 61:309-330.
-
(1999)
J. R. Statist. Soc. B
, vol.61
, pp. 309-330
-
-
Nåsell, I.1
-
29
-
-
0035822368
-
Extinction and quasi-stationarity in the Verhulst logistic model
-
Nåsell I. Extinction and quasi-stationarity in the Verhulst logistic model. J. Theor. Biol. 2001, 211:11-27.
-
(2001)
J. Theor. Biol.
, vol.211
, pp. 11-27
-
-
Nåsell, I.1
-
30
-
-
0036293119
-
Stochastic models of some endemic infections
-
Nåsell I. Stochastic models of some endemic infections. Math. Biosci. 2002, 179:1-19.
-
(2002)
Math. Biosci.
, vol.179
, pp. 1-19
-
-
Nåsell, I.1
-
31
-
-
0010280004
-
An algorithmic study of S-I-R stochastic epidemic models
-
Springer-Verlag, Heidelberg
-
Neuts M.F., Li J.M. An algorithmic study of S-I-R stochastic epidemic models. Athens Conference on Applied Probability and Time Series 1996, vol. 1:295-306. Springer-Verlag, Heidelberg.
-
(1996)
Athens Conference on Applied Probability and Time Series
, vol.1
, pp. 295-306
-
-
Neuts, M.F.1
Li, J.M.2
-
32
-
-
0001630503
-
On the distribution of the time to extinction in the stochastic logistic population model
-
Norden R.H. On the distribution of the time to extinction in the stochastic logistic population model. Adv. Appl. Probab. 1982, 14:687-708.
-
(1982)
Adv. Appl. Probab.
, vol.14
, pp. 687-708
-
-
Norden, R.H.1
-
33
-
-
0034759510
-
Quasi-stationarity in populations that are subject to large-scale mortality or emigration
-
Pollett P.K. Quasi-stationarity in populations that are subject to large-scale mortality or emigration. Environ. Int.. 2001, 27:231-236.
-
(2001)
Environ. Int..
, vol.27
, pp. 231-236
-
-
Pollett, P.K.1
-
35
-
-
54249123081
-
Stochastic niche structure and diversity maintenance in the T cell repertoire
-
Stirk E.R., Molina-París C., van der Berg H.A. Stochastic niche structure and diversity maintenance in the T cell repertoire. J. Theor. Biol 2008, 255:237-249.
-
(2008)
J. Theor. Biol
, vol.255
, pp. 237-249
-
-
Stirk, E.R.1
Molina-París, C.2
van der Berg, H.A.3
-
36
-
-
6344234142
-
A logistic birth-death-immigration-emigration process
-
Swift R.J. A logistic birth-death-immigration-emigration process. Math. Sci. 2001, 26:25-33.
-
(2001)
Math. Sci.
, vol.26
, pp. 25-33
-
-
Swift, R.J.1
-
38
-
-
0029175103
-
Stochastic epidemics: major outbreaks and the duration of the endemic period
-
van Herwaarden O.A., Grasman J. Stochastic epidemics: major outbreaks and the duration of the endemic period. J. Math. Biol. 1995, 33:581-601.
-
(1995)
J. Math. Biol.
, vol.33
, pp. 581-601
-
-
van Herwaarden, O.A.1
Grasman, J.2
-
39
-
-
34547691348
-
Stochastic model of an influenza epidemic with drug resistance
-
Xu Y., Allen L.J.S., Perelson A.S. Stochastic model of an influenza epidemic with drug resistance. J. Theor. Biol. 2007, 248:179-193.
-
(2007)
J. Theor. Biol.
, vol.248
, pp. 179-193
-
-
Xu, Y.1
Allen, L.J.S.2
Perelson, A.S.3
|