-
6
-
-
0026360185
-
Reproduction numbers and thresholds in stochastic epidemic models I. Homogeneous populations
-
Jacquez J.A., O'Neill P. Reproduction numbers and thresholds in stochastic epidemic models I. Homogeneous populations. Math. Biosci. 107:1991;161.
-
(1991)
Math. Biosci.
, vol.107
, pp. 161
-
-
Jacquez, J.A.1
O'Neill, P.2
-
7
-
-
0027305851
-
The stochastic SI model with recruitment and deaths I. Comparison with the closed SIS model
-
Jacquez J.A., Simon C.P. The stochastic SI model with recruitment and deaths I. Comparison with the closed SIS model. Math. Biosci. 117:1993;77.
-
(1993)
Math. Biosci.
, vol.117
, pp. 77
-
-
Jacquez, J.A.1
Simon, C.P.2
-
8
-
-
0000564723
-
On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
-
Seneta E., Vere-Jones D. On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states. J. Appl. Prob. 3:1966;403.
-
(1966)
J. Appl. Prob.
, vol.3
, pp. 403
-
-
Seneta, E.1
Vere-Jones, D.2
-
9
-
-
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. Prob. 4:1967;192.
-
(1967)
J. Appl. Prob.
, vol.4
, pp. 192
-
-
Darroch, J.N.1
Seneta, E.2
-
10
-
-
0000311552
-
On the extinction of the S-I-S stochastic logistic model
-
Kryscio R.J., Lefèvre C. On the extinction of the S-I-S stochastic logistic model. J. Appl. Prob. 26:1989;685.
-
(1989)
J. Appl. Prob.
, vol.26
, pp. 685
-
-
Kryscio, R.J.1
Lefèvre, C.2
-
11
-
-
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. 156:1999;21.
-
(1999)
Math. Biosci.
, vol.156
, pp. 21
-
-
Nåsell, I.1
-
12
-
-
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
-
13
-
-
0033475339
-
On the time to extinction in recurrent epidemics
-
Nåsell I. On the time to extinction in recurrent epidemics. J. Roy. Statist. Soc. B. 61:1999;309.
-
(1999)
J. Roy. Statist. Soc. B
, vol.61
, pp. 309
-
-
Nåsell, I.1
-
15
-
-
0028116676
-
Some discrete-time SI, SIR and SIS epidemic models
-
Allen L.J.S. Some discrete-time SI, SIR and SIS epidemic models. Math. Biosci. 124:1994;83.
-
(1994)
Math. Biosci.
, vol.124
, pp. 83
-
-
Allen, L.J.S.1
-
16
-
-
0000751578
-
A thousand and one epidemic models
-
in: S.A. Levin (Ed.), Springer, Berlin
-
H.W. Hethcote, A thousand and one epidemic models, in: S.A. Levin (Ed.), Frontiers in Mathematical Biology, Lecture Notes in Biomathematics, vol. 100, Springer, Berlin, 1994, p. 504.
-
(1994)
Frontiers in Mathematical Biology, Lecture Notes in Biomathematics
, vol.100
, pp. 504
-
-
Hethcote, H.W.1
-
17
-
-
0007121120
-
Stability or chaos in discrete epidemic models
-
V. Lakshmikantham. New York: Academic Press
-
Cooke K.L., Calef D.F., Level E.V. stability or chaos in discrete epidemic models. Lakshmikantham V. Nonlinear Systems and Applications. 1977;73 Academic Press, New York.
-
(1977)
Nonlinear Systems and Applications
, pp. 73
-
-
Cooke, K.L.1
Calef, D.F.2
Level, E.V.3
-
18
-
-
0343812549
-
-
Master's thesis, Texas Tech University, Lubbock, TX, USA
-
K.J. Sumpter, The dynamics of some epidemic models, Master's thesis, Texas Tech University, Lubbock, TX, USA, 1995.
-
(1995)
The Dynamics of Some Epidemic Models
-
-
Sumpter, K.J.1
-
19
-
-
0017228276
-
Qualitative analyses of communicable disease models
-
Hethcote H.W. Qualitative analyses of communicable disease models. Math. Biosci. 28:1976;335.
-
(1976)
Math. Biosci.
, vol.28
, pp. 335
-
-
Hethcote, H.W.1
-
20
-
-
54649084892
-
Bendixson-Dulac criteria for difference equations
-
McCluskey C.C., Muldowney J.S. Bendixson-Dulac criteria for difference equations. J. Dyn. Diff. Eq. 10:1998;567.
-
(1998)
J. Dyn. Diff. Eq.
, vol.10
, pp. 567
-
-
McCluskey, C.C.1
Muldowney, J.S.2
-
21
-
-
0001219907
-
Local and global stability for population models
-
Cull P. Local and global stability for population models. Biol. Cybern. 54:1986;141.
-
(1986)
Biol. Cybern.
, vol.54
, pp. 141
-
-
Cull, P.1
-
22
-
-
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
-
24
-
-
0000998185
-
Contributions to the mathematical theory of epidemics
-
Kermack W.O., McKendrick A.G. Contributions to the mathematical theory of epidemics. Proc. Roy. Soc. A. 115:1927;700.
-
(1927)
Proc. Roy. Soc. a
, vol.115
, pp. 700
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
25
-
-
0000943691
-
A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models
-
Ball F. A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models. Adv. Appl. Prob. 18:1986;289.
-
(1986)
Adv. Appl. Prob.
, vol.18
, pp. 289
-
-
Ball, F.1
-
26
-
-
0002708819
-
A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes
-
Lefèvre C., Picard P. A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes. Adv. Appl. Prob. 22:1990;25.
-
(1990)
Adv. Appl. Prob.
, vol.22
, pp. 25
-
-
Lefèvre, C.1
Picard, P.2
-
27
-
-
84910757289
-
The final size distribution of epidemics spread by infectives behaving independently
-
in: J.-P. Gabriel, C. Lefèvre, P. Picard (Eds.), Springer, New York
-
C. Lefèvre, P. Picard, The final size distribution of epidemics spread by infectives behaving independently, in: J.-P. Gabriel, C. Lefèvre, P. Picard (Eds.), Stochastic Processes in Epidemic Theory, Lecture Notes in Biomathematics, vol. 86, Springer, New York, 1990, p. 155.
-
(1990)
Stochastic Processes in Epidemic Theory, Lecture Notes in Biomathematics
, vol.86
, pp. 155
-
-
C., Lefèvre.1
Picard, P.2
-
28
-
-
0016636706
-
Final size distributions for epidemics
-
Ludwig D. Final size distributions for epidemics. Math. Biosci. 23:1975;33.
-
(1975)
Math. Biosci.
, vol.23
, pp. 33
-
-
Ludwig, D.1
-
30
-
-
0025041909
-
Models for the spread of universally fatal diseases
-
Brauer F. Models for the spread of universally fatal diseases. J. Math. Biol. 28:1990;451.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 451
-
-
Brauer, F.1
-
31
-
-
0025031240
-
Population models for diseases with no recovery
-
Pugliese A. Population models for diseases with no recovery. J. Math. Biol. 28:1990;65.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 65
-
-
Pugliese, A.1
-
32
-
-
0028726379
-
Population size dependent incidence in models for diseases without immunity
-
Zhou J., Hethcote H.W. Population size dependent incidence in models for diseases without immunity. J. Math. Biol. 32:1994;809.
-
(1994)
J. Math. Biol.
, vol.32
, pp. 809
-
-
Zhou, J.1
Hethcote, H.W.2
-
33
-
-
0025852092
-
A discrete-time model with vaccination for a measles epidemic
-
Allen L.J.S., Jones M.A., Martin C.F. A discrete-time model with vaccination for a measles epidemic. Math. Biosci. 105:1991;111.
-
(1991)
Math. Biosci.
, vol.105
, pp. 111
-
-
Allen, L.J.S.1
Jones, M.A.2
Martin, C.F.3
|