-
2
-
-
0034486891
-
The mathematics of infectious diseases
-
Hethcote H, (2000) The mathematics of infectious diseases. SIAM rev 42: 599-653.
-
(2000)
SIAM Rev
, vol.42
, pp. 599-653
-
-
Hethcote, H.1
-
3
-
-
0025985745
-
Some epidemiological models with nonlinear incidence
-
Hethcote H, Driessche P, (1991) Some epidemiological models with nonlinear incidence. J Math Biol 29: 271-287.
-
(1991)
J Math Biol
, vol.29
, pp. 271-287
-
-
Hethcote, H.1
Driessche, P.2
-
4
-
-
0028116676
-
Some Discrete-Time SI, S/R, and S/S Epidemic Models
-
Allen L, (1994) Some Discrete-Time SI, S/R, and S/S Epidemic Models. Math Biosci 124: 83-105.
-
(1994)
Math Biosci
, vol.124
, pp. 83-105
-
-
Allen, L.1
-
5
-
-
0033979874
-
Comparison of deterministic and stochastic SIS and SIR models in discrete time
-
Allen L, Burgin A, (2000) Comparison of deterministic and stochastic SIS and SIR models in discrete time. Math Biosci 163: 1-33.
-
(2000)
Math Biosci
, vol.163
, pp. 1-33
-
-
Allen, L.1
Burgin, A.2
-
6
-
-
0037429355
-
Dynamical behavior of an epidemic model with a nonlinear incidence rate
-
Ruan S, Wang W, (2003) Dynamical behavior of an epidemic model with a nonlinear incidence rate. J Differ Equations 188: 135-163.
-
(2003)
J Differ Equations
, vol.188
, pp. 135-163
-
-
Ruan, S.1
Wang, W.2
-
7
-
-
27844516471
-
Bifurcation Analysis of an SIRS Epidemic Model with Generalized Incidence
-
Alexander M, Moghadas S, (2006) Bifurcation Analysis of an SIRS Epidemic Model with Generalized Incidence. SIAM J App Math 65: 1794-1816.
-
(2006)
SIAM J App Math
, vol.65
, pp. 1794-1816
-
-
Alexander, M.1
Moghadas, S.2
-
8
-
-
25144476559
-
Non-linear incidence and stability of infectious disease models
-
Korobeinikov A, Maini P, (2005) Non-linear incidence and stability of infectious disease models. Math Med Biol 22: 113-128.
-
(2005)
Math Med Biol
, vol.22
, pp. 113-128
-
-
Korobeinikov, A.1
Maini, P.2
-
9
-
-
0034847341
-
Modeling epidemics caused by respiratory syncytial virus (RSV)
-
Weber A, Weber M, Milligan P, (2001) Modeling epidemics caused by respiratory syncytial virus (RSV). Math Biosci 172: 95-113.
-
(2001)
Math Biosci
, vol.172
, pp. 95-113
-
-
Weber, A.1
Weber, M.2
Milligan, P.3
-
10
-
-
0036590892
-
Dynamics of measles epidemics: estimating scaling of transmission rates using a time series SIR model
-
Bjørnstad O, Finkenstädt B, Grenfell B, (2002) Dynamics of measles epidemics: estimating scaling of transmission rates using a time series SIR model. Ecol Monogr 72: 169-184.
-
(2002)
Ecol Monogr
, vol.72
, pp. 169-184
-
-
Bjørnstad, O.1
Finkenstädt, B.2
Grenfell, B.3
-
12
-
-
22544485707
-
Peak shift and epidemiology in a seasonal host-nematode system
-
Cattadori I, Boag B, Bjørnstad O, Cornell S, Hudson P, (2005) Peak shift and epidemiology in a seasonal host-nematode system. Proc R Soc Lond B Biol Sci 272: 1163.
-
(2005)
Proc R Soc Lond B Biol Sci
, vol.272
, pp. 1163
-
-
Cattadori, I.1
Boag, B.2
Bjørnstad, O.3
Cornell, S.4
Hudson, P.5
-
13
-
-
0002454064
-
The incidence of infectious diseases under the influence of seasonal fluctuations
-
In: Berger J, Bühler W, Repges R, Tautu P, editors, Berlin, Springer-Verlag
-
Dietz K, (1976) The incidence of infectious diseases under the influence of seasonal fluctuations. In: Berger J, Bühler W, Repges R, Tautu P, editors. Proceedings of a Workshop on Mathematical Models in Medicine, Mainz. Lecture Notes in Biomathematics 11 Berlin Springer-Verlag pp. 1-15.
-
(1976)
Proceedings of a Workshop on Mathematical Models in Medicine, Mainz. Lecture Notes in Biomathematics 11
, pp. 1-15
-
-
Dietz, K.1
-
14
-
-
1142267538
-
External forcing of ecological and epidemiological systems: a resonance approach
-
Greenman J, Kamo M, Boots M, (2004) External forcing of ecological and epidemiological systems: a resonance approach. Physica D 190: 136-151.
-
(2004)
Physica D
, vol.190
, pp. 136-151
-
-
Greenman, J.1
Kamo, M.2
Boots, M.3
-
15
-
-
0347663530
-
Seasonally forced disease dynamics explored as switching between attractors
-
Keeling M, Rohani P, Grenfell B, (2001) Seasonally forced disease dynamics explored as switching between attractors. Physica D 148: 317-335.
-
(2001)
Physica D
, vol.148
, pp. 317-335
-
-
Keeling, M.1
Rohani, P.2
Grenfell, B.3
-
16
-
-
34047120681
-
Seasonal dynamics of recurrent epidemics
-
Stone L, Olinky R, Huppert A, (2007) Seasonal dynamics of recurrent epidemics. Nature 446: 533.
-
(2007)
Nature
, vol.446
, pp. 533
-
-
Stone, L.1
Olinky, R.2
Huppert, A.3
-
18
-
-
15744382069
-
Seasonal patterns of infectious diseases
-
Pascual M, Dobson A, (2005) Seasonal patterns of infectious diseases. PLoS Med 2: 18-20.
-
(2005)
PLoS Med
, vol.2
, pp. 18-20
-
-
Pascual, M.1
Dobson, A.2
-
19
-
-
33645352212
-
Seasonality and the dynamics of infectious diseases
-
Altizer S, Dobson A, Hosseini P, Hudson P, Pascual M, et al. (2006) Seasonality and the dynamics of infectious diseases. Ecol Lett 9: 467-484.
-
(2006)
Ecol Lett
, vol.9
, pp. 467-484
-
-
Altizer, S.1
Dobson, A.2
Hosseini, P.3
Hudson, P.4
Pascual, M.5
-
20
-
-
1542648303
-
Seasonal dynamics of mycoplasmal conjunctivitis in eastern North American house finches
-
Altizer S, Hochachka W, Dhondt A, (2004) Seasonal dynamics of mycoplasmal conjunctivitis in eastern North American house finches. Ecology 73: 309-322.
-
(2004)
Ecology
, vol.73
, pp. 309-322
-
-
Altizer, S.1
Hochachka, W.2
Dhondt, A.3
-
21
-
-
0034622971
-
Cholera dynamics and El Nino-southern oscillation
-
Pascual M, Rodó X, Ellner S, Colwell R, Bouma M, (2000) Cholera dynamics and El Nino-southern oscillation. Science 289: 1766.
-
(2000)
Science
, vol.289
, pp. 1766
-
-
Pascual, M.1
Rodó, X.2
Ellner, S.3
Colwell, R.4
Bouma, M.5
-
22
-
-
0018041874
-
A generalization of the kermack-mckendrick deterministic epidemic model
-
Capasso V, Serio G, (1978) A generalization of the kermack-mckendrick deterministic epidemic model. Math Biosci 42: 41-61.
-
(1978)
Math Biosci
, vol.42
, pp. 41-61
-
-
Capasso, V.1
Serio, G.2
-
23
-
-
0025985745
-
Some epidemiological models with nonlinear incidence
-
Hethcote H, Driessche P, (1991) Some epidemiological models with nonlinear incidence. J Math Biol 29: 271-287.
-
(1991)
J Math Biol
, vol.29
, pp. 271-287
-
-
Hethcote, H.1
Driessche, P.2
-
24
-
-
0023070210
-
Dynamical behavior of epidemiological models with nonlinear incidence rates
-
Liu W, Hethcote H, Levin S, (1987) Dynamical behavior of epidemiological models with nonlinear incidence rates. J Math Biol 25: 359-380.
-
(1987)
J Math Biol
, vol.25
, pp. 359-380
-
-
Liu, W.1
Hethcote, H.2
Levin, S.3
-
25
-
-
1542406443
-
Bifurcations in an epidemic model with constant removal rate of the infectives
-
Wang W, Ruan S, (2004) Bifurcations in an epidemic model with constant removal rate of the infectives. J Math Anal and Appl 291: 775-793.
-
(2004)
J Math Anal and Appl
, vol.291
, pp. 775-793
-
-
Wang, W.1
Ruan, S.2
-
26
-
-
34250220630
-
An SIRS model with a nonlinear incidence rate
-
Jin Y, Wang W, Xiao S, (2007) An SIRS model with a nonlinear incidence rate. Chaos Solitons Fractals 34: 1482-1497.
-
(2007)
Chaos Solitons Fractals
, vol.34
, pp. 1482-1497
-
-
Jin, Y.1
Wang, W.2
Xiao, S.3
-
27
-
-
0036369855
-
Exciting chaos with noise: unexpected dynamics in epidemic outbreaks
-
Billings L, Schwartz I, (2002) Exciting chaos with noise: unexpected dynamics in epidemic outbreaks. J Math Biol 44: 31-48.
-
(2002)
J Math Biol
, vol.44
, pp. 31-48
-
-
Billings, L.1
Schwartz, I.2
-
28
-
-
84994053884
-
Modeling infectious diseases in humans and animals
-
Keeling M, Rohani P, (2008) Modeling infectious diseases in humans and animals. Clin Infect Dis 47: 864-6.
-
(2008)
Clin Infect Dis
, vol.47
, pp. 864-866
-
-
Keeling, M.1
Rohani, P.2
-
29
-
-
42249098829
-
An introduction to stochastic epidemic models
-
In: Brauer F, Van den Driessche P, Wu J, editors, Berlin, Springer
-
Allen L, (2008) An introduction to stochastic epidemic models. In: Brauer F, Van den Driessche P, Wu J, editors. Mathematical Epidemiology. Lecture Notes in Mathematics Berlin Springer pp. 81-130.
-
(2008)
Mathematical Epidemiology. Lecture Notes in Mathematics
, pp. 81-130
-
-
Allen, L.1
-
30
-
-
0034723248
-
A simple model for complex dynamical transitions in epidemics
-
Earn D, Rohani P, Bolker B, Grenfell B, (2000) A simple model for complex dynamical transitions in epidemics. Science 287: 667.
-
(2000)
Science
, vol.287
, pp. 667
-
-
Earn, D.1
Rohani, P.2
Bolker, B.3
Grenfell, B.4
-
32
-
-
0027465252
-
Chaos and biological complexity in measles dynamics
-
Bolker B, Grenfell B, (1993) Chaos and biological complexity in measles dynamics. Proc R Soc Lond B Biol Sci 251: 75-81.
-
(1993)
Proc R Soc Lond B Biol Sci
, vol.251
, pp. 75-81
-
-
Bolker, B.1
Grenfell, B.2
-
33
-
-
5544233810
-
A weather-driven model of malaria transmission
-
Hoshen M, Morse A, (2004) A weather-driven model of malaria transmission. Malar J 3: 32.
-
(2004)
Malar J
, vol.3
, pp. 32
-
-
Hoshen, M.1
Morse, A.2
-
34
-
-
42249097285
-
Compartmental models in epidemiology
-
In: Brauer F, Van den Driessche P, Wu J, editors, Berlin, Springer
-
Brauer F, (2008) Compartmental models in epidemiology. In: Brauer F, Van den Driessche P, Wu J, editors. Mathematical Epidemiology. Lecture Notes in Mathematics Berlin Springer pp. 19-80.
-
(2008)
Mathematical Epidemiology. Lecture Notes in Mathematics
, pp. 19-80
-
-
Brauer, F.1
-
35
-
-
0027429258
-
A disease transmission model in a nonconstant population
-
Derrick W, Driessche P, (1993) A disease transmission model in a nonconstant population. J Math Biol 31: 495-512.
-
(1993)
J Math Biol
, vol.31
, pp. 495-512
-
-
Derrick, W.1
Driessche, P.2
-
36
-
-
0000236256
-
Periodicity in epidemiological models
-
In: Gross L, Hallam TG, Levin SA, editors, Berlin, Springer
-
Hethcote H, Levin SA, (1989) Periodicity in epidemiological models. In: Gross L, Hallam TG, Levin SA, editors. Applied Mathematical Ecology 18 Berlin Springer pp. 193-211.
-
(1989)
Applied Mathematical Ecology 18
, pp. 193-211
-
-
Hethcote, H.1
Levin, S.A.2
-
37
-
-
0000604313
-
Allee effects: population growth, critical density, and the chance of extinction
-
Dennis B, (1989) Allee effects: population growth, critical density, and the chance of extinction. Natural Resource Modeling 3: 481-538.
-
(1989)
Natural Resource Modeling
, vol.3
, pp. 481-538
-
-
Dennis, B.1
-
39
-
-
13144257707
-
The genetic theory of adaptation: a brief history
-
Orr H, (2005) The genetic theory of adaptation: a brief history. Nat Rev Genet 6: 119-127.
-
(2005)
Nat Rev Genet
, vol.6
, pp. 119-127
-
-
Orr, H.1
-
41
-
-
33644839515
-
Sampling variability and estimates of density dependence: a composite-likelihood approach
-
Lele S, (2006) Sampling variability and estimates of density dependence: a composite-likelihood approach. Ecology 87: 189-202.
-
(2006)
Ecology
, vol.87
, pp. 189-202
-
-
Lele, S.1
-
42
-
-
33747072045
-
Estimating density dependence, process noise, and observation error
-
Dennis B, Ponciano J, Lele S, Taper M, Staples D, (2006) Estimating density dependence, process noise, and observation error. Ecol Monogr 76: 323-341.
-
(2006)
Ecol Monogr
, vol.76
, pp. 323-341
-
-
Dennis, B.1
Ponciano, J.2
Lele, S.3
Taper, M.4
Staples, D.5
-
47
-
-
0031345518
-
Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization
-
Zhu C, Byrd R, Lu P, Nocedal J, (1997) Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization. ACM Trans Math Softw 23: 550-560.
-
(1997)
ACM Trans Math Softw
, vol.23
, pp. 550-560
-
-
Zhu, C.1
Byrd, R.2
Lu, P.3
Nocedal, J.4
-
48
-
-
0000888026
-
Information theory and an extension of the likelihood ratio principle
-
In: Kotz S, NL J, editors, Berlin, Springer
-
Akaike H, (1992) Information theory and an extension of the likelihood ratio principle. In: Kotz S, NL J, editors. Breakthroughs in Statistics I Berlin Springer pp. 610-624.
-
(1992)
Breakthroughs in Statistics I
, pp. 610-624
-
-
Akaike, H.1
-
50
-
-
0000120766
-
Estimating the dimension of a model
-
Schwarz G, (1978) Estimating the dimension of a model. Ann Stat 6: 461-464.
-
(1978)
Ann Stat
, vol.6
, pp. 461-464
-
-
Schwarz, G.1
-
51
-
-
0020072418
-
Measles in England and Wales-I: An analysis of factors underlying seasonal patterns
-
Fine P, Clarkson J, (1982) Measles in England and Wales-I: An analysis of factors underlying seasonal patterns. Int J Epidemiol 11: 5.
-
(1982)
Int J Epidemiol
, vol.11
, pp. 5
-
-
Fine, P.1
Clarkson, J.2
-
52
-
-
9244230097
-
Population time series: process variability, observation errors, missing values, lags, and hidden states
-
Clark J, Bjørnstad O, (2004) Population time series: process variability, observation errors, missing values, lags, and hidden states. Ecology 85: 3140-3150.
-
(2004)
Ecology
, vol.85
, pp. 3140-3150
-
-
Clark, J.1
Bjørnstad, O.2
-
53
-
-
0027978417
-
Bifurcation analysis of periodic SEIR and SIR epidemic models
-
Kuznetsov Y, Piccardi C, (1994) Bifurcation analysis of periodic SEIR and SIR epidemic models. J Math Biol 32: 109-121.
-
(1994)
J Math Biol
, vol.32
, pp. 109-121
-
-
Kuznetsov, Y.1
Piccardi, C.2
-
54
-
-
0348143361
-
-
San Diego, Academic Press
-
Cushing J, Costantino R, Dennis B, Desharnais R, Henson S, (2002) Chaos in Ecology San Diego Academic Press.
-
(2002)
Chaos in Ecology
-
-
Cushing, J.1
Costantino, R.2
Dennis, B.3
Desharnais, R.4
Henson, S.5
-
55
-
-
0031670568
-
Complex population dynamics in the real world: modeling the influence of time-varying parameters and time lags
-
Zeng Z, Nowierski R, Taper M, Dennis B, Kemp W, (1998) Complex population dynamics in the real world: modeling the influence of time-varying parameters and time lags. Ecology 79: 2193-2209.
-
(1998)
Ecology
, vol.79
, pp. 2193-2209
-
-
Zeng, Z.1
Nowierski, R.2
Taper, M.3
Dennis, B.4
Kemp, W.5
-
56
-
-
0031066070
-
Melnikov analysis of chaos in a simple epidemiological model
-
Glendinning P, Perry L, (1997) Melnikov analysis of chaos in a simple epidemiological model. J Math Biol 35: 359-373.
-
(1997)
J Math Biol
, vol.35
, pp. 359-373
-
-
Glendinning, P.1
Perry, L.2
-
57
-
-
33750164370
-
Melnikov analysis of chaos in a general epidemiological model
-
Diallo O, Koné Y, (2007) Melnikov analysis of chaos in a general epidemiological model. Nonlinear Anal Real World Appl 8: 20-26.
-
(2007)
Nonlinear Anal Real World Appl
, vol.8
, pp. 20-26
-
-
Diallo, O.1
Koné, Y.2
-
58
-
-
1642341634
-
Periodicity in an epidemic model with a generalized non-linear incidence
-
Alexander M, Moghadas S, (2004) Periodicity in an epidemic model with a generalized non-linear incidence. Math Biosci 189: 75-96.
-
(2004)
Math Biosci
, vol.189
, pp. 75-96
-
-
Alexander, M.1
Moghadas, S.2
-
59
-
-
33746747003
-
Popper, Bayes and the inverse problem
-
Tarantola A, (2006) Popper, Bayes and the inverse problem. Nat Phys 2: 492-494.
-
(2006)
Nat Phys
, vol.2
, pp. 492-494
-
-
Tarantola, A.1
-
60
-
-
70350365793
-
Parameter Estimation of Some Epidemic Models. The Case of Recurrent Epidemics Caused by Respiratory Syncytial Virus
-
Capistrán M, Moreles M, Lara B, (2009) Parameter Estimation of Some Epidemic Models. The Case of Recurrent Epidemics Caused by Respiratory Syncytial Virus. Bull Math Biol 71: 1890-1901.
-
(2009)
Bull Math Biol
, vol.71
, pp. 1890-1901
-
-
Capistrán, M.1
Moreles, M.2
Lara, B.3
-
61
-
-
0031748527
-
Respiratory syncytial virus infection in tropical and developing countries
-
Weber M, Mulholland E, Greenwood B, (1998) Respiratory syncytial virus infection in tropical and developing countries. Trop Med Int Health 3: 268-280.
-
(1998)
Trop Med Int Health
, vol.3
, pp. 268-280
-
-
Weber, M.1
Mulholland, E.2
Greenwood, B.3
|