-
1
-
-
0001637131
-
On the use of the Normal approximation in the treatment of stochastic processes
-
Whittle P. On the use of the Normal approximation in the treatment of stochastic processes. J. Roy. Statist. Soc. B 19 (1957) 268
-
(1957)
J. Roy. Statist. Soc. B
, vol.19
, pp. 268
-
-
Whittle, P.1
-
2
-
-
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. Prob. 14 (1982) 687
-
(1982)
Adv. Appl. Prob.
, vol.14
, pp. 687
-
-
Norden, R.H.1
-
3
-
-
0000311552
-
On the extinction of the S-I-S stochastic logistic epidemic
-
Kryscio R.J., and Lefevre C. On the extinction of the S-I-S stochastic logistic epidemic. J. Appl. Prob. 27 (1989) 685
-
(1989)
J. Appl. Prob.
, vol.27
, pp. 685
-
-
Kryscio, R.J.1
Lefevre, C.2
-
4
-
-
0026335575
-
Assessing the variability of stochastic epidemics
-
Isham V. Assessing the variability of stochastic epidemics. Math. Biosci. 107 2 (1991) 209
-
(1991)
Math. Biosci.
, vol.107
, Issue.2
, pp. 209
-
-
Isham, V.1
-
5
-
-
34547135997
-
Environmentally driven epizootics
-
Allen L.J.S., and Cormier P.J. Environmentally driven epizootics. Math. Biosci. 13 (1996) 151
-
(1996)
Math. Biosci.
, vol.13
, pp. 151
-
-
Allen, L.J.S.1
Cormier, P.J.2
-
6
-
-
0031408804
-
Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
-
Bolker B., and Pacala S.W. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Populat. Biol. 52 (1997) 179
-
(1997)
Theor. Populat. Biol.
, vol.52
, pp. 179
-
-
Bolker, B.1
Pacala, S.W.2
-
7
-
-
0031859089
-
Stochastic effects in a model of nematode infection in ruminants
-
Marion G., Renshaw E., and Gibson G.J. Stochastic effects in a model of nematode infection in ruminants. IMA J. Math. Appl. Med. 15 2 (1998) 97
-
(1998)
IMA J. Math. Appl. Med.
, vol.15
, Issue.2
, pp. 97
-
-
Marion, G.1
Renshaw, E.2
Gibson, G.J.3
-
8
-
-
0033213413
-
Effects of immigration on some stochastic logistic models: A cumulant truncation analysis
-
Matis H.J., and Kiffe T.R. Effects of immigration on some stochastic logistic models: A cumulant truncation analysis. Theor. Populat. Biol. 56 (1999) 139
-
(1999)
Theor. Populat. Biol.
, vol.56
, pp. 139
-
-
Matis, H.J.1
Kiffe, T.R.2
-
9
-
-
0034619094
-
A moment closure model for sexually transmitted disease transmission through a concurrent partnership network
-
Bauch C., and Rand D.A. A moment closure model for sexually transmitted disease transmission through a concurrent partnership network. Proc. R. Soc. London B 267 1456 (2000) 2019
-
(2000)
Proc. R. Soc. London B
, vol.267
, Issue.1456
, pp. 2019
-
-
Bauch, C.1
Rand, D.A.2
-
10
-
-
0034895527
-
Comparing approximations to spatio-temporal models for epidemics with local spread
-
Filipe J.A.N., and Gibson G.J. Comparing approximations to spatio-temporal models for epidemics with local spread. Bull. Math. Biol. 63 (2001) 603
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 603
-
-
Filipe, J.A.N.1
Gibson, G.J.2
-
11
-
-
0036111907
-
Using individual-based simulations to test the Levins metapopulation paradigm
-
Keeling M.J. Using individual-based simulations to test the Levins metapopulation paradigm. J. Animal Ecol. 71 (2002) 270
-
(2002)
J. Animal Ecol.
, vol.71
, pp. 270
-
-
Keeling, M.J.1
-
12
-
-
0037445417
-
A simple saddlepoint approximation for the equilibrium distribution of the stochastic logistic model of population growth
-
Matis H.J., Kiffe T.R., Renshaw E., and Hassan J. A simple saddlepoint approximation for the equilibrium distribution of the stochastic logistic model of population growth. Ecol. Model. 161 (2003) 239
-
(2003)
Ecol. Model.
, vol.161
, pp. 239
-
-
Matis, H.J.1
Kiffe, T.R.2
Renshaw, E.3
Hassan, J.4
-
13
-
-
4344628364
-
Bayesian analysis of botanical epidemics using stochastic compartmental models
-
Gibson G.J., Kleczkowski A., and Gilligan C.A. Bayesian analysis of botanical epidemics using stochastic compartmental models. Proc. Natl. Acad. Sci. 101 33 (2004) 12120
-
(2004)
Proc. Natl. Acad. Sci.
, vol.101
, Issue.33
, pp. 12120
-
-
Gibson, G.J.1
Kleczkowski, A.2
Gilligan, C.A.3
-
14
-
-
16244363078
-
A new look at the critical community size for childhood infections
-
Nåsell I. A new look at the critical community size for childhood infections. Theor. Populat. Biol. 67 (2005) 203
-
(2005)
Theor. Populat. Biol.
, vol.67
, pp. 203
-
-
Nåsell, I.1
-
15
-
-
6344289384
-
Understanding foraging behaviour in spatially heterogenous environments
-
Marion G., Swain D.L., and Hutchings M.R. Understanding foraging behaviour in spatially heterogenous environments. J. Theor. Biol. 232 (2005) 127
-
(2005)
J. Theor. Biol.
, vol.232
, pp. 127
-
-
Marion, G.1
Swain, D.L.2
Hutchings, M.R.3
-
16
-
-
0347063875
-
Estimating variability in models for recurrent epidemics assessing the use of moment closure techniques
-
Lloyd A.L. Estimating variability in models for recurrent epidemics assessing the use of moment closure techniques. Theor. Populat. Biol. 65 (2004) 49
-
(2004)
Theor. Populat. Biol.
, vol.65
, pp. 49
-
-
Lloyd, A.L.1
-
17
-
-
0002305276
-
Stochastic models for epidemics with special reference to AIDS
-
Isham V. Stochastic models for epidemics with special reference to AIDS. Ann. Appl. Prob. 3 1 (1993) 1
-
(1993)
Ann. Appl. Prob.
, vol.3
, Issue.1
, pp. 1
-
-
Isham, V.1
-
18
-
-
21844523434
-
Stochastic models of host-macroparasite interaction
-
Isham V. Stochastic models of host-macroparasite interaction. Ann. Appl. Prob. 5 3 (1995) 20
-
(1995)
Ann. Appl. Prob.
, vol.5
, Issue.3
, pp. 20
-
-
Isham, V.1
-
19
-
-
0242690987
-
Robust parameter estimation techniques for stochastic within-host macroparasite models
-
Riley S., Donnelly C.A., and Ferguson N.M. Robust parameter estimation techniques for stochastic within-host macroparasite models. J. Theor. Biol. 225 (2003) 419
-
(2003)
J. Theor. Biol.
, vol.225
, pp. 419
-
-
Riley, S.1
Donnelly, C.A.2
Ferguson, N.M.3
-
20
-
-
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. Prob. 28 (1996) 895
-
(1996)
Adv. Appl. Prob.
, vol.28
, pp. 895
-
-
Nåsell, I.1
-
21
-
-
19044383593
-
Novel closure approximations in stochastic epidemics
-
Krishnarajah I., Cook A., Marion G., and Gibson G.J. Novel closure approximations in stochastic epidemics. Bull. Math. Biol. 67 4 (2005) 855
-
(2005)
Bull. Math. Biol.
, vol.67
, Issue.4
, pp. 855
-
-
Krishnarajah, I.1
Cook, A.2
Marion, G.3
Gibson, G.J.4
-
22
-
-
0033794910
-
Metapopulation moments: coupling, stochasticity and persistence
-
Keeling M.J. Metapopulation moments: coupling, stochasticity and persistence. J. Animal Ecol. 369 (2000) 725
-
(2000)
J. Animal Ecol.
, vol.369
, pp. 725
-
-
Keeling, M.J.1
-
23
-
-
0034698011
-
Multiplicative moments and measures of persistence in ecology
-
Keeling M.J. Multiplicative moments and measures of persistence in ecology. J. Theor. Biol. 205 (2000) 269
-
(2000)
J. Theor. Biol.
, vol.205
, pp. 269
-
-
Keeling, M.J.1
-
24
-
-
17944394670
-
Moment closure and the stochastic logistic model
-
Nåsell I. Moment closure and the stochastic logistic model. Theor. Populat. Biol. 63 (2003) 159
-
(2003)
Theor. Populat. Biol.
, vol.63
, pp. 159
-
-
Nåsell, I.1
-
25
-
-
0028726379
-
Population size dependent incidence in models for diseases without immunity
-
Zhou J., and Hethcote H.W. Population size dependent incidence in models for diseases without immunity. J. Math. Biol. 809-834 (1994) 32
-
(1994)
J. Math. Biol.
, vol.809-834
, pp. 32
-
-
Zhou, J.1
Hethcote, H.W.2
-
26
-
-
0033979874
-
Comparison of deterministic and stochastic SIS and SIR models in discrete time
-
Allen L.J.S., and Burgin A.M. Comparison of deterministic and stochastic SIS and SIR models in discrete time. Math. Biosci. 163 (2000) 1
-
(2000)
Math. Biosci.
, vol.163
, pp. 1
-
-
Allen, L.J.S.1
Burgin, A.M.2
-
30
-
-
41349106360
-
Spatial heterogeneity and the stability of reaction states in autocatalysis
-
051915(1-9)
-
Marion G., Mao X.R., and Renshaw E. Spatial heterogeneity and the stability of reaction states in autocatalysis. Phys. Rev. E 66 5 (2002) 051915(1-9)
-
(2002)
Phys. Rev. E
, vol.66
, Issue.5
-
-
Marion, G.1
Mao, X.R.2
Renshaw, E.3
-
32
-
-
3042645183
-
On moment closures for population dynamics in continuous space
-
Murrell D.J., Dieckmann U., and Law R. On moment closures for population dynamics in continuous space. J. Theor. Biol. 229 (2004) 421
-
(2004)
J. Theor. Biol.
, vol.229
, pp. 421
-
-
Murrell, D.J.1
Dieckmann, U.2
Law, R.3
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