-
1
-
-
0018656345
-
Population biology of infection diseases: Part I
-
Anderson, R.M., May, R.M., 1979. Population biology of infection diseases: Part I. Nature 280, 361-367.
-
(1979)
Nature
, vol.280
, pp. 361-367
-
-
Anderson, R.M.1
May, R.M.2
-
2
-
-
0032264092
-
Heterogeneity in epidemic models and its effect on the spread of infection
-
Andersson, H., Britton, T., 1998. Heterogeneity in epidemic models and its effect on the spread of infection. J. Appl. Prob. 35, 651-661.
-
(1998)
J. Appl. Prob.
, vol.35
, pp. 651-661
-
-
Andersson, H.1
Britton, T.2
-
3
-
-
0032896314
-
Stochastic and deterministic models for SIS epidemics among a population partitioned into households
-
Ball, F., 1999. Stochastic and deterministic models for SIS epidemics among a population partitioned into households. Math. Biosci. 156, 41-67.
-
(1999)
Math. Biosci.
, vol.156
, pp. 41-67
-
-
Ball, F.1
-
4
-
-
0031285152
-
Epidemics with two levels of mixing
-
Ball, F., Mollison, D., Scalia-Tomba, G., 1997. Epidemics with two levels of mixing. Ann. Appl. Prob. 7(1), 46-89.
-
(1997)
Ann. Appl. Prob.
, vol.7
, Issue.1
, pp. 46-89
-
-
Ball, F.1
Mollison, D.2
Scalia-Tomba, G.3
-
5
-
-
2142712699
-
Poisson approximations for epidemics with two levels of mixing
-
Ball, F., Neal, P., 2004. Poisson approximations for epidemics with two levels of mixing. Ann. Prob. 32(1B), 1168-1200.
-
(2004)
Ann. Prob.
, vol.32
, Issue.1 B
, pp. 1168-1200
-
-
Ball, F.1
Neal, P.2
-
6
-
-
18044384806
-
Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
-
Barthélemy, M., Barrat, A., Pastor-Satorras, R., Vespignani, A., 2005. Dynamical patterns of epidemic outbreaks in complex heterogeneous networks. J. Theor. Biol. 235, 275-288.
-
(2005)
J. Theor. Biol.
, vol.235
, pp. 275-288
-
-
Barthélemy, M.1
Barrat, A.2
Pastor-Satorras, R.3
Vespignani, A.4
-
7
-
-
0032836074
-
Analytic models for the patchy spread of plant disease
-
Bolker, B.M., 1999. Analytic models for the patchy spread of plant disease. Bull. Math. Biol. 61, 849-874.
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 849-874
-
-
Bolker, B.M.1
-
8
-
-
0033533781
-
'Small worlds' and the evolution of virulence: Infection occurs locally and at a distance
-
Boots, M., Sasaki, A., 1999. 'Small worlds' and the evolution of virulence: Infection occurs locally and at a distance. Proc. R. Soc. Lond. B 266, 1933-1938.
-
(1999)
Proc. R. Soc. Lond. B
, vol.266
, pp. 1933-1938
-
-
Boots, M.1
Sasaki, A.2
-
9
-
-
1242310813
-
The effects of disease dispersal and host clustering on the epidemic threshold in plants
-
Brown, D.H., Bolker, B.M., 2004. The effects of disease dispersal and host clustering on the epidemic threshold in plants. Bull. Math. Biol. 66, 341-371.
-
(2004)
Bull. Math. Biol.
, vol.66
, pp. 341-371
-
-
Brown, D.H.1
Bolker, B.M.2
-
10
-
-
0037526722
-
Mean-field approximation to a spatial host-pathogen model
-
de Aguiar, M.A.M., Rauch, E.M., Bar-Yam, Y., 2003. Mean-field approximation to a spatial host-pathogen model. Phys. Rev. E 67, 047102.
-
(2003)
Phys. Rev. E
, vol.67
, pp. 047102
-
-
De Aguiar, M.A.M.1
Rauch, E.M.2
Bar-Yam, Y.3
-
11
-
-
0001398884
-
Relaxation projections and the method of moments
-
Dieckmann, U., Law, R., Metz, J.A. (Eds.), Ch. 21. Cambridge University Press, Cambridge, UK
-
Dieckmann, U., Law, R., 2000. Relaxation projections and the method of moments. In: Dieckmann, U., Law, R., Metz, J.A. (Eds.), The Geometry of Ecological Interactions, Ch. 21. Cambridge University Press, Cambridge, UK, pp. 412-455.
-
(2000)
The Geometry of Ecological Interactions
, pp. 412-455
-
-
Dieckmann, U.1
Law, R.2
-
12
-
-
0001504318
-
Speed of invasion in lattice population models: Pair-edge approximations
-
Ellner, S.P., Sasaki, A., Haraguchi, Y., Matsuda, H., 1998. Speed of invasion in lattice population models: Pair-edge approximations. J. Math. Biol. 36, 469-484.
-
(1998)
J. Math. Biol.
, vol.36
, pp. 469-484
-
-
Ellner, S.P.1
Sasaki, A.2
Haraguchi, Y.3
Matsuda, H.4
-
13
-
-
0032578985
-
Studying and approximating spatio-temporal models for epidemic spread and control
-
Filipe, J.A.N., Gibson, G.J., 1998. Studying and approximating spatio-temporal models for epidemic spread and control. Phil. Trans. R. Soc. Lond. B 353, 2153-2162.
-
(1998)
Phil. Trans. R. Soc. Lond. B
, vol.353
, pp. 2153-2162
-
-
Filipe, J.A.N.1
Gibson, G.J.2
-
14
-
-
0034895527
-
Comparing approximations to spatio-temporal models for epidemics with local spread
-
Filipe, J.A.N., Gibson, G.J., 2001. Comparing approximations to spatio-temporal models for epidemics with local spread. Bull. Math. Biol. 63, 603-624.
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 603-624
-
-
Filipe, J.A.N.1
Gibson, G.J.2
-
15
-
-
0344552311
-
Effects of dispersal mechanisms on spatio-temporal development of epidemics
-
Filipe, J.A.N., Maule, M.M., 2004. Effects of dispersal mechanisms on spatio-temporal development of epidemics. J. Theor. Biol. 226, 125-141.
-
(2004)
J. Theor. Biol.
, vol.226
, pp. 125-141
-
-
Filipe, J.A.N.1
Maule, M.M.2
-
16
-
-
3843076451
-
On Analytical models for the patchy spread of plant disease
-
Filipe, J.A.N., Maule, M.M., Gilligan, C.A., 2004. On Analytical models for the patchy spread of plant disease. Bull. Math. Biol. 66, 1027-1037.
-
(2004)
Bull. Math. Biol.
, vol.66
, pp. 1027-1037
-
-
Filipe, J.A.N.1
Maule, M.M.2
Gilligan, C.A.3
-
17
-
-
2542426854
-
SIS epidemics with household structure: The self-consistent field method
-
Ghoshal, G., Sander, L.M., Sokolov, I.M., 2004. SIS epidemics with household structure: The self-consistent field method. Math. Biosci. 190, 71-85.
-
(2004)
Math. Biosci.
, vol.190
, pp. 71-85
-
-
Ghoshal, G.1
Sander, L.M.2
Sokolov, I.M.3
-
18
-
-
0002510189
-
Local structure theory in more than one dimension
-
Gutowitz, H.A., Victor, J.D., 1987. Local structure theory in more than one dimension. Complex Syst. 1, 57-68.
-
(1987)
Complex Syst.
, vol.1
, pp. 57-68
-
-
Gutowitz, H.A.1
Victor, J.D.2
-
19
-
-
0003060443
-
Local structure theory for cellular automata
-
Gutowitz, H.A., Victor, J.D., Knight, B.W., 1987. Local structure theory for cellular automata. Physica D 28, 18-48.
-
(1987)
Physica D
, vol.28
, pp. 18-48
-
-
Gutowitz, H.A.1
Victor, J.D.2
Knight, B.W.3
-
20
-
-
0033534037
-
Short- vs. long-range disperser: The evolutionarily stable allocation in a lattice-structured habitat
-
Harada, Y., 1999. Short- vs. long-range disperser: The evolutionarily stable allocation in a lattice-structured habitat. J. Theor. Biol. 201, 171-187.
-
(1999)
J. Theor. Biol.
, vol.201
, pp. 171-187
-
-
Harada, Y.1
-
21
-
-
0028191110
-
Lattice population dynamics for plants with dispersing seeds and vegetative propagation
-
Harada, Y., Iwasa, Y., 1994. Lattice population dynamics for plants with dispersing seeds and vegetative propagation. Res. Popul. Ecol. 36(2), 237-249.
-
(1994)
Res. Popul. Ecol.
, vol.36
, Issue.2
, pp. 237-249
-
-
Harada, Y.1
Iwasa, Y.2
-
22
-
-
0018247773
-
An immunization model for a heterogeneous population
-
Hethcote, H.W., 1978. An immunization model for a heterogeneous population. Theor. Popul. Biol. 14, 338-349.
-
(1978)
Theor. Popul. Biol.
, vol.14
, pp. 338-349
-
-
Hethcote, H.W.1
-
23
-
-
0031558409
-
Stochastic spatial models: From simulations to mean field and local structure approximations
-
Hiebeler, D., 1997. Stochastic spatial models: From simulations to mean field and local structure approximations. J. Theor. Biol. 187, 307-319.
-
(1997)
J. Theor. Biol.
, vol.187
, pp. 307-319
-
-
Hiebeler, D.1
-
24
-
-
0033923261
-
Populations on fragmented landscapes with spatially structured heterogeneities: Landscape generation and local dispersal
-
Hiebeler, D., 2000. Populations on fragmented landscapes with spatially structured heterogeneities: Landscape generation and local dispersal. Ecology 81(6), 1629-1641.
-
(2000)
Ecology
, vol.81
, Issue.6
, pp. 1629-1641
-
-
Hiebeler, D.1
-
25
-
-
4644223583
-
Competition between near and far dispersers in spatially structured habitats
-
Hiebeler, D., 2004. Competition between near and far dispersers in spatially structured habitats. Theor. Popul. Biol. 66(3), 205-218.
-
(2004)
Theor. Popul. Biol.
, vol.66
, Issue.3
, pp. 205-218
-
-
Hiebeler, D.1
-
26
-
-
25144434960
-
A cellular automaton SIS epidemiological model with spatially clustered recoveries
-
Hiebeler, D., 2005a. A cellular automaton SIS epidemiological model with spatially clustered recoveries. Lec. Notes Comp. Sci. 3515, 360-367.
-
(2005)
Lec. Notes Comp. Sci.
, vol.3515
, pp. 360-367
-
-
Hiebeler, D.1
-
27
-
-
6344222003
-
Spatially correlated disturbances in a locally dispersing population model
-
Hiebeler, D., 2005b. Spatially correlated disturbances in a locally dispersing population model. J. Theor. Biol. 232(1), 143-149.
-
(2005)
J. Theor. Biol.
, vol.232
, Issue.1
, pp. 143-149
-
-
Hiebeler, D.1
-
28
-
-
31344482443
-
Thresholds for epidemic outbreaks in finite scale-free networks
-
Apr.
-
Hwang, D.-U., Boccaletti, S., Moreno, Y., López-Ruiz, R., Apr. 2005. Thresholds for epidemic outbreaks in finite scale-free networks. Math. Biosci. Eng 2(2), 317-327.
-
(2005)
Math. Biosci. Eng
, vol.2
, Issue.2
, pp. 317-327
-
-
Hwang, D.-U.1
Boccaletti, S.2
Moreno, Y.3
López-Ruiz, R.4
-
29
-
-
11844262657
-
The implications of network structure for epidemic dynamics
-
Keeling, M., 2005. The implications of network structure for epidemic dynamics. Theor. Popul. Biol. 67, 1-8.
-
(2005)
Theor. Popul. Biol.
, vol.67
, pp. 1-8
-
-
Keeling, M.1
-
30
-
-
0034698011
-
Multiplicative moments and measures of persistence in ecology
-
Keeling, M.J., 2000. Multiplicative moments and measures of persistence in ecology. J. Theor. Biol. 205, 269-281.
-
(2000)
J. Theor. Biol.
, vol.205
, pp. 269-281
-
-
Keeling, M.J.1
-
31
-
-
0000998185
-
A contribution to the mathematical theory of epidemics
-
Kermack, W.O., McKendrick, A.G., 1927. A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. A 115, 700-721.
-
(1927)
Proc. R. Soc. Lond. A
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
32
-
-
33646471468
-
Statistical mechanics of fluid mixtures
-
Kirkwood, J.G., 1935. Statistical mechanics of fluid mixtures. J. Chem. Phys. 3, 300-313.
-
(1935)
J. Chem. Phys.
, vol.3
, pp. 300-313
-
-
Kirkwood, J.G.1
-
34
-
-
0347063875
-
Estimating variability in models for recurrent epidemics: Assessing the use of moment closure techniques
-
Lloyd, A.L., 2004. Estimating variability in models for recurrent epidemics: Assessing the use of moment closure techniques. Theor. Popul. Biol. 65, 49-65.
-
(2004)
Theor. Popul. Biol.
, vol.65
, pp. 49-65
-
-
Lloyd, A.L.1
-
35
-
-
0842324733
-
Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models
-
Lloyd, A.L., Jansen, V.A., 2004. Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models. Math. Biosci. 188, 1-16.
-
(2004)
Math. Biosci.
, vol.188
, pp. 1-16
-
-
Lloyd, A.L.1
Jansen, V.A.2
-
36
-
-
0000435608
-
Statistical mechanics of population
-
Matsuda, H., Ogita, N., Sasaki, A., Sato, K., 1992. Statistical mechanics of population. Prog. Theor. Phys. 88(6), 1035-1049.
-
(1992)
Prog. Theor. Phys.
, vol.88
, Issue.6
, pp. 1035-1049
-
-
Matsuda, H.1
Ogita, N.2
Sasaki, A.3
Sato, K.4
-
37
-
-
0021529194
-
Spatial heterogeneity and the design of immunization programs
-
May, R.M., Anderson, R.M., 1984. Spatial heterogeneity and the design of immunization programs. Math. Biosci. 72, 83-111.
-
(1984)
Math. Biosci.
, vol.72
, pp. 83-111
-
-
May, R.M.1
Anderson, R.M.2
-
38
-
-
3042645183
-
On moment closures for population dynamics in continuous space
-
Murrell, D.J., Dieckmann, U., Law, R., 2004. On moment closures for population dynamics in continuous space. J. Theor. Biol. 229, 421-432.
-
(2004)
J. Theor. Biol.
, vol.229
, pp. 421-432
-
-
Murrell, D.J.1
Dieckmann, U.2
Law, R.3
-
39
-
-
41349106348
-
The spread of epidemic disease on networks
-
Newman, M.E.J., 2002. The spread of epidemic disease on networks. Phys. Rev. E 66, 016128.
-
(2002)
Phys. Rev. E
, vol.66
, pp. 016128
-
-
Newman, M.E.J.1
-
40
-
-
84872123888
-
Percolation and epidemics in a two-dimensional small world
-
Newman, M.E.J., Jensen, I., Ziff, R.M., 2002. Percolation and epidemics in a two-dimensional small world. Phys. Rev. E 65, 021904.
-
(2002)
Phys. Rev. E
, vol.65
, pp. 021904
-
-
Newman, M.E.J.1
Jensen, I.2
Ziff, R.M.3
-
41
-
-
0035794256
-
Epidemic spreading in scale-free networks
-
Pastor-Satorras, R., Vespignani, A., 2001. Epidemic spreading in scale-free networks. Phys. Rev. Let. 86(14), 3200-3203.
-
(2001)
Phys. Rev. Let.
, vol.86
, Issue.14
, pp. 3200-3203
-
-
Pastor-Satorras, R.1
Vespignani, A.2
-
42
-
-
2642576530
-
Cluster approximations for epidemic processes: A systematic description of correlations beyond the pair level
-
Petermann, T., De Los Rios, P., 2004a. Cluster approximations for epidemic processes: A systematic description of correlations beyond the pair level. J. Theor. Biol. 229, 1-11.
-
(2004)
J. Theor. Biol.
, vol.229
, pp. 1-11
-
-
Petermann, T.1
De Los Rios, P.2
-
43
-
-
42749098256
-
The role of clustering and gridlike ordering in epidemic spreading
-
Doi: 10.1103/PhysRevE.69.066116
-
Petermann, T., De Los Rios, P., 2004b. The role of clustering and gridlike ordering in epidemic spreading. Phys. Rev. E 69, 066116. Doi: 10.1103/PhysRevE.69.066116.
-
(2004)
Phys. Rev. E
, vol.69
, pp. 066116
-
-
Petermann, T.1
De Los Rios, P.2
-
44
-
-
0020735310
-
Endemic disease in environments with spatially heterogeneous host populations
-
Post, W.M., DeAngelis, D.L., Travis, C.C., 1983. Endemic disease in environments with spatially heterogeneous host populations. Math. Biosci. 63, 289-302.
-
(1983)
Math. Biosci.
, vol.63
, pp. 289-302
-
-
Post, W.M.1
DeAngelis, D.L.2
Travis, C.C.3
-
45
-
-
0037424991
-
Disease evolution on networks: The role of contact structure
-
Read, J.M., Keeling, M.J., 2003. Disease evolution on networks: The role of contact structure. Proc. R. Soc. Lond. B 270, 699-708.
-
(2003)
Proc. R. Soc. Lond. B
, vol.270
, pp. 699-708
-
-
Read, J.M.1
Keeling, M.J.2
-
46
-
-
0001552196
-
The deterministic model of a simple epidemic for more than one community
-
Rushton, S., Mautner, A.J., 1955. The deterministic model of a simple epidemic for more than one community. Biometrika 42, 126-132.
-
(1955)
Biometrika
, vol.42
, pp. 126-132
-
-
Rushton, S.1
Mautner, A.J.2
-
47
-
-
15244355759
-
Modelling development of epidemics with dynamic small-world networks
-
Saramäki, J., Kaski, K., 2005. Modelling development of epidemics with dynamic small-world networks. J. Theor. Biol. 234, 413-421.
-
(2005)
J. Theor. Biol.
, vol.234
, pp. 413-421
-
-
Saramäki, J.1
Kaski, K.2
-
48
-
-
0000042146
-
On an epidemic in a stratified population
-
Watson, R.K., 1972. On an epidemic in a stratified population. J. Appl. Prob. 9, 659-666.
-
(1972)
J. Appl. Prob.
, vol.9
, pp. 659-666
-
-
Watson, R.K.1
-
49
-
-
23844456922
-
Multiscale, resurgent epidemics in a hierarchical metapopulation model
-
Watts, D.J., Muhamad, R., Medina, D.C., Dodds, P.S., 2005. Multiscale, resurgent epidemics in a hierarchical metapopulation model. Proc. Nat. Acad. Sci. 102, 11157-11162.
-
(2005)
Proc. Nat. Acad. Sci.
, vol.102
, pp. 11157-11162
-
-
Watts, D.J.1
Muhamad, R.2
Medina, D.C.3
Dodds, P.S.4
|