-
1
-
-
39649125153
-
Network epidemic models with two levels of mixing
-
Ball, F., & Neal, P. (2008). Network epidemic models with two levels of mixing. Math. Biosci., 212, 69-87.
-
(2008)
Math. Biosci.
, vol.212
, pp. 69-87
-
-
Ball, F.1
Neal, P.2
-
2
-
-
84861733991
-
Differential equation approximations of stochastic network processes: an operator semigroup approach
-
doi:10.3934/nhm.2012.7.43
-
Bátkai, A., Kiss, I. Z., Sikolya, E., & Simon, P. L. (2012). Differential equation approximations of stochastic network processes: an operator semigroup approach. Netw. Heterog. Media, 7, 43-58. doi: 10. 3934/nhm. 2012. 7. 43.
-
(2012)
Netw. Heterog. Media
, vol.7
, pp. 43-58
-
-
Bátkai, A.1
Kiss, I.Z.2
Sikolya, E.3
Simon, P.L.4
-
3
-
-
0031408804
-
Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
-
Bolker, B., & Pacala, S. W. (1997). Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Popul. Biol., 52, 179-197.
-
(1997)
Theor. Popul. Biol.
, vol.52
, pp. 179-197
-
-
Bolker, B.1
Pacala, S.W.2
-
4
-
-
0032783836
-
Spatial moment equations for plant competition: understanding spatial strategies and the advantages of short dispersal
-
Bolker, B., & Pacala, S. W. (1999). Spatial moment equations for plant competition: understanding spatial strategies and the advantages of short dispersal. Am. Nat., 153, 575-602.
-
(1999)
Am. Nat.
, vol.153
, pp. 575-602
-
-
Bolker, B.1
Pacala, S.W.2
-
5
-
-
85043667416
-
Networks and the epidemiology of infectious disease, interdisciplinary perspectives on infectious diseases
-
Danon, L., Ford, A. P., House, T., Jewell, C. P., Keeling, M. J., Roberts, G. O., Ross, J. V., & Vernon, M. C. (2011). networks and the epidemiology of infectious disease, interdisciplinary perspectives on infectious diseases, 2011: 284909 special issue "Network perspectives on infectious disease dynamics".
-
(2011)
Network perspectives on infectious disease dynamics
-
-
Danon, L.1
Ford, A.P.2
House, T.3
Jewell, C.P.4
Keeling, M.J.5
Roberts, G.O.6
Ross, J.V.7
Vernon, M.C.8
-
6
-
-
84861730755
-
Large graph limit for an SIR process in random network with heterogeneous connectivity
-
doi:10.1214/11-AAP773
-
Decreusefond, L., Dhersin, J.-S., Moyal, P., & Tran, V. C. (2012). Large graph limit for an SIR process in random network with heterogeneous connectivity. Ann. Appl. Probab., 22, 541-575. doi: 10. 1214/11-AAP773.
-
(2012)
Ann. Appl. Probab.
, vol.22
, pp. 541-575
-
-
Decreusefond, L.1
Dhersin, J.-S.2
Moyal, P.3
Tran, V.C.4
-
7
-
-
77949542098
-
The impact of contact tracing in clustered populations
-
House, T., & Keeling, M. J. (2010). The impact of contact tracing in clustered populations. PLoS Comput. Biol., 6(3), e1000721.
-
(2010)
PLoS Comput. Biol.
, vol.6
, Issue.3
-
-
House, T.1
Keeling, M.J.2
-
8
-
-
78650846890
-
Insights from unifying modern approximations to infections on networks
-
House, T., & Keeling, M. J. (2011). Insights from unifying modern approximations to infections on networks. J. R. Soc. Interface, 8, 67-73.
-
(2011)
J. R. Soc. Interface
, vol.8
, pp. 67-73
-
-
House, T.1
Keeling, M.J.2
-
9
-
-
0033594451
-
The effects of local spatial structure on epidemiological invasions
-
Keeling, M. J. (1999). The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. Lond. B, 266, 859-867.
-
(1999)
Proc. R. Soc. Lond. B
, vol.266
, pp. 859-867
-
-
Keeling, M.J.1
-
11
-
-
0002232633
-
Solutions of ordinary differential equations as limits of pure jump Markov processes
-
Kurtz, T. G. (1970). Solutions of ordinary differential equations as limits of pure jump Markov processes. J. Appl. Probab., 7, 49-58.
-
(1970)
J. Appl. Probab.
, vol.7
, pp. 49-58
-
-
Kurtz, T.G.1
-
12
-
-
78651482188
-
Effective degree network disease models
-
Lindquist, J., Ma, J., van den Driessche, P., & Willeboordse, F. H. (2011). Effective degree network disease models. J. Math. Biol., 62, 143-164.
-
(2011)
J. Math. Biol.
, vol.62
, pp. 143-164
-
-
Lindquist, J.1
Ma, J.2
van den Driessche, P.3
Willeboordse, F.H.4
-
13
-
-
0000435608
-
Statistical mechanics of population-the lattice Lotka-Volterra model
-
Matsuda, H., Ogita, N., Sasaki, A., & Sato, K. (1992). Statistical mechanics of population-the lattice Lotka-Volterra model. Prog. Theor. Phys., 88, 1035-1049.
-
(1992)
Prog. Theor. Phys.
, vol.88
, pp. 1035-1049
-
-
Matsuda, H.1
Ogita, N.2
Sasaki, A.3
Sato, K.4
-
14
-
-
79951515510
-
A note on a paper by Erik Volz: SIR dynamics in random networks
-
Miller, J. C. (2011). A note on a paper by Erik Volz: SIR dynamics in random networks. J. Math. Biol., 62, 349-358.
-
(2011)
J. Math. Biol.
, vol.62
, pp. 349-358
-
-
Miller, J.C.1
-
15
-
-
0038718854
-
The structure and function of complex networks
-
Newman, M. E. J. (2003). The structure and function of complex networks. SIAM Rev., 45, 167-256.
-
(2003)
SIAM Rev.
, vol.45
, pp. 167-256
-
-
Newman, M.E.J.1
-
16
-
-
0028313149
-
Pathogen invasion and host extinction in lattice structured populations
-
Sato, K., Matsuda, H., & Sasaki, A. (1994). Pathogen invasion and host extinction in lattice structured populations. J. Math. Biol., 32, 251-268.
-
(1994)
J. Math. Biol.
, vol.32
, pp. 251-268
-
-
Sato, K.1
Matsuda, H.2
Sasaki, A.3
-
17
-
-
84885010813
-
From exact stochastic to mean-field ODE models: a new approach to prove convergence results
-
doi:10.1093/imamat/HXS001
-
Simon, P. L., & Kiss, I. Z. (2011). From exact stochastic to mean-field ODE models: a new approach to prove convergence results. IMA J. Appl. Math. doi: 10. 1093/imamat/HXS001.
-
(2011)
IMA J. Appl. Math.
-
-
Simon, P.L.1
Kiss, I.Z.2
-
18
-
-
79952575000
-
Exact epidemic models on graphs using graph-automorphism driven lumping
-
Simon, P. L., Taylor, M., & Kiss, I. Z. (2011). Exact epidemic models on graphs using graph-automorphism driven lumping. J. Math. Biol., 62, 479-508.
-
(2011)
J. Math. Biol.
, vol.62
, pp. 479-508
-
-
Simon, P.L.1
Taylor, M.2
Kiss, I.Z.3
-
19
-
-
84859631507
-
From Markovian to pairwise epidemic models and the performance of moment closure approximations
-
doi:10.1007/s00285-011-0443-3
-
Taylor, M., Simon, P. L., Green, D. M., House, T., & Kiss, I. Z. (2011). From Markovian to pairwise epidemic models and the performance of moment closure approximations. J. Math. Biol. doi: 10. 1007/s00285-011-0443-3.
-
(2011)
J. Math. Biol.
-
-
Taylor, M.1
Simon, P.L.2
Green, D.M.3
House, T.4
Kiss, I.Z.5
-
20
-
-
36749049140
-
SIR dynamics in structured populations with heterogeneous connectivity
-
Volz, E. (2008). SIR dynamics in structured populations with heterogeneous connectivity. J. Math. Biol., 56, 293-310.
-
(2008)
J. Math. Biol.
, vol.56
, pp. 293-310
-
-
Volz, E.1
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