-
2
-
-
84868316339
-
Reproduction numbers for infections with free-living pathogens growing in the environment
-
Bani-Yaghoub, M., Gautam, R., Shuai, Z., van den Driessche, P., Ivanek, R., Reproduction numbers for infections with free-living pathogens growing in the environment. J. Biol. Dyn. 6 (2012), 923–940.
-
(2012)
J. Biol. Dyn.
, vol.6
, pp. 923-940
-
-
Bani-Yaghoub, M.1
Gautam, R.2
Shuai, Z.3
van den Driessche, P.4
Ivanek, R.5
-
3
-
-
84969993600
-
Nonnegative Matrices in the Mathematical Sciences, Classics in Applied Mathematics No
-
9, SIAM, Philadelphia
-
Berman, A., Plemmons, R.J., 1994. Nonnegative Matrices in the Mathematical Sciences, Classics in Applied Mathematics No. 9, SIAM, Philadelphia,.
-
(1994)
-
-
Berman, A.1
Plemmons, R.J.2
-
4
-
-
84927652053
-
A nosocomial epidemic model with infection of patients due to contaminated rooms
-
Browne, C., Webb, G.F., A nosocomial epidemic model with infection of patients due to contaminated rooms. Math. Biosci. Eng. 12:4 (2015), 761–787.
-
(2015)
Math. Biosci. Eng.
, vol.12
, Issue.4
, pp. 761-787
-
-
Browne, C.1
Webb, G.F.2
-
5
-
-
0004022281
-
Matrix Population Models: Construction, Analysis and Interpretation
-
second ed. Sinauer Associates, Inc. Publishers Sunderland, Massachusetts
-
Caswell, H., Matrix Population Models: Construction, Analysis and Interpretation. second ed., 2001, Sinauer Associates, Inc. Publishers, Sunderland, Massachusetts.
-
(2001)
-
-
Caswell, H.1
-
6
-
-
84868335926
-
A net reproductive number for periodic matrix models
-
Cushing, J.M., Ackleh, A.S., A net reproductive number for periodic matrix models. J. Biol. Dyn. 6 (2012), 166–188.
-
(2012)
J. Biol. Dyn.
, vol.6
, pp. 166-188
-
-
Cushing, J.M.1
Ackleh, A.S.2
-
7
-
-
0028683292
-
The net reproductive value and stability in matrix population models
-
Cushing, J.M., Yicang, Z., The net reproductive value and stability in matrix population models. Nat. Resour. Model. 8 (1994), 297–333.
-
(1994)
Nat. Resour. Model.
, vol.8
, pp. 297-333
-
-
Cushing, J.M.1
Yicang, Z.2
-
8
-
-
0003683258
-
An Introduction to Structured Population Dynamics, CBMS-NSF Regional Conference Series in Applied Mathematics
-
SIAM, Philadelphia.
-
Cushing, J.M., 1998. An Introduction to Structured Population Dynamics, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 71, SIAM, Philadelphia.
-
(1998)
, vol.71
-
-
Cushing, J.M.1
-
9
-
-
70349941248
-
Graph-theoretic method for the basic reproduction number in continuous time epidemiological models
-
de Camino-Beck, T., Lewis, M.A., van den Driessche, P., Graph-theoretic method for the basic reproduction number in continuous time epidemiological models. J. Math. Biol. 59:4 (2009), 503–516.
-
(2009)
J. Math. Biol.
, vol.59
, Issue.4
, pp. 503-516
-
-
de Camino-Beck, T.1
Lewis, M.A.2
van den Driessche, P.3
-
10
-
-
77953160649
-
The construction of next-generation matrices for compartmental epidemic models
-
Diekmann, O., Heesterbeek, J.A.P., Roberts, M.G., The construction of next-generation matrices for compartmental epidemic models. J. R. Soc. Interface 7 (2010), 873–885.
-
(2010)
J. R. Soc. Interface
, vol.7
, pp. 873-885
-
-
Diekmann, O.1
Heesterbeek, J.A.P.2
Roberts, M.G.3
-
11
-
-
84919676178
-
Mathematical Tools for Understanding Infectious Disease Dynamics
-
Princeton University Press Princeton, USA, and Oxford, UK
-
Diekmann, O., Heesterbeek, J.A.P., Britton, T., Mathematical Tools for Understanding Infectious Disease Dynamics. 2013, Princeton University Press, Princeton, USA, and Oxford, UK.
-
(2013)
-
-
Diekmann, O.1
Heesterbeek, J.A.P.2
Britton, T.3
-
12
-
-
3242657203
-
A Beginner's Guide to Adaptive Dynamics
-
Banach Center Publication
-
Diekmann, O., A Beginner's Guide to Adaptive Dynamics. 63, 2004, Banach Center Publication, 47–86.
-
(2004)
, vol.63
, pp. 47-86
-
-
Diekmann, O.1
-
13
-
-
84902011304
-
Global asymptotic stability of plant-seed bank models
-
Eager, E.A., Rebarber, R., Tenhumberg, B., Global asymptotic stability of plant-seed bank models. J. Math. Biol. 69 (2014), 1–13.
-
(2014)
J. Math. Biol.
, vol.69
, pp. 1-13
-
-
Eager, E.A.1
Rebarber, R.2
Tenhumberg, B.3
-
14
-
-
0027488382
-
The saturating contact rate in marriage- and epidemic models
-
Heesterbeek, J.A.P., Metz, J.A.J., The saturating contact rate in marriage- and epidemic models. J. Math. Biol. 31:5 (1993), 529–539.
-
(1993)
J. Math. Biol.
, vol.31
, Issue.5
, pp. 529-539
-
-
Heesterbeek, J.A.P.1
Metz, J.A.J.2
-
15
-
-
33847405628
-
The type-reproduction number T in models for infectious disease control
-
Heesterbeek, J.A.P., Roberts, M.G., The type-reproduction number T in models for infectious disease control. Math. Biosci. 206 (2007), 3–10.
-
(2007)
Math. Biosci.
, vol.206
, pp. 3-10
-
-
Heesterbeek, J.A.P.1
Roberts, M.G.2
-
16
-
-
0036025407
-
0 and a recipe for its calculation
-
0 and a recipe for its calculation. Acta Biotheor. 50 (2002), 189–204, 10.1023/A:1016599411804.
-
(2002)
Acta Biotheor.
, vol.50
, pp. 189-204
-
-
Heesterbeek, J.A.P.1
-
17
-
-
32044460132
-
Perspectives on the basic reproductive ratio
-
Heffernan, J.M., Smith, R.J., Wahl, L.M., Perspectives on the basic reproductive ratio. J. R. Soc. Interface 2 (2005), 281–293, 10.1098/rsif.2005.0042.
-
(2005)
J. R. Soc. Interface
, vol.2
, pp. 281-293
-
-
Heffernan, J.M.1
Smith, R.J.2
Wahl, L.M.3
-
18
-
-
54349112795
-
The state-reproduction number for a multistate class age structured epidemic system and its application to the asymptomatic transmission model
-
Inaba, H., Nishiura, H., The state-reproduction number for a multistate class age structured epidemic system and its application to the asymptomatic transmission model. Math. Biosci. 216 (2008), 77–89.
-
(2008)
Math. Biosci.
, vol.216
, pp. 77-89
-
-
Inaba, H.1
Nishiura, H.2
-
19
-
-
84954533519
-
An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius
-
Jin, W., Thieme, H.R., An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius. Discrete Contin. Dyn. Syst. B 21 (2016), 447–470, 10.3934/dcdsb.2016.21.447.
-
(2016)
Discrete Contin. Dyn. Syst. B
, vol.21
, pp. 447-470
-
-
Jin, W.1
Thieme, H.R.2
-
20
-
-
84958110366
-
Persistence versus extinction for a class of discrete-time structured population models
-
online (June)
-
Jin, W., Smith, H.L., Thieme, H.R., Persistence versus extinction for a class of discrete-time structured population models. J. Math. Biol., 02(June), 2015, 10.1007/s00285-015-0898-8 online.
-
(2015)
J. Math. Biol.
, vol.2
-
-
Jin, W.1
Smith, H.L.2
Thieme, H.R.3
-
22
-
-
0036581212
-
Applications of Perron–Frobenius theory to population dynamics
-
Li, C.-K., Schneider, H., Applications of Perron–Frobenius theory to population dynamics. J. Math. Biol. 44 (2002), 450–462.
-
(2002)
J. Math. Biol.
, vol.44
, pp. 450-462
-
-
Li, C.-K.1
Schneider, H.2
-
24
-
-
0037963623
-
A new method for estimating the effort required to control an infectious disease, in: Proceedings of the Royal Society, London B
-
Roberts, M.G., Heesterbeek, J.A.P., 2003. A new method for estimating the effort required to control an infectious disease, in: Proceedings of the Royal Society, London B, vol. 270, pp. 1359–1364.
-
(2003)
, vol.270
, pp. 1359-1364
-
-
Roberts, M.G.1
Heesterbeek, J.A.P.2
-
25
-
-
34948821143
-
0
-
URL 〈〉
-
0. J. R. Soc. Interface 4 (2007), 949–961 URL 〈 http://rsif.royalsocietypublishing.org/content/4/16/949〉.
-
(2007)
J. R. Soc. Interface
, vol.4
, pp. 949-961
-
-
Roberts, M.G.1
-
26
-
-
84874205849
-
0 to be a sum of contributions of fertility loops
-
0 to be a sum of contributions of fertility loops. J. Math. Biol. 66 (2013), 1099–1122.
-
(2013)
J. Math. Biol.
, vol.66
, pp. 1099-1122
-
-
Rueffler, C.1
Metz, J.A.J.2
-
27
-
-
84884479899
-
Chemostats and epidemics: competition for nutrients/hosts
-
Smith, H.L., Thieme, H.R., Chemostats and epidemics: competition for nutrients/hosts. Math. Biosci. Eng. 10 (2013), 1635–1650.
-
(2013)
Math. Biosci. Eng.
, vol.10
, pp. 1635-1650
-
-
Smith, H.L.1
Thieme, H.R.2
-
28
-
-
85014420140
-
Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm
-
In: de Jeu, M., de Pagter, B., van Gaans, O., Veraar, M. (Eds.) Springer International Publishing, Switzerland (in press)
-
Thieme, H.R., 2016. Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. In: de Jeu, M., de Pagter, B., van Gaans, O., Veraar, M. (Eds.) Ordered Structures and Applications. Birkhäuser, Springer International Publishing, Switzerland (in press), http://dx.doi.org/10.1007/978-3-319-27842-1.
-
(2016)
Ordered Structures and Applications. Birkhäuser
-
-
Thieme, H.R.1
-
29
-
-
67649378819
-
Spectral bound and reproduction number for infinite dimensional population structure and time-heterogeneity
-
Thieme, H.R., Spectral bound and reproduction number for infinite dimensional population structure and time-heterogeneity. SIAM J. Appl. Math. 70 (2009), 188–211.
-
(2009)
SIAM J. Appl. Math.
, vol.70
, pp. 188-211
-
-
Thieme, H.R.1
-
30
-
-
47149095789
-
Thereshold dynamics for compartmental epidemic models in periodic environments
-
Wang, W., Zhao, X.-Q., Thereshold dynamics for compartmental epidemic models in periodic environments. J. Dyn. Differ. Equ. 20 (2008), 699–717.
-
(2008)
J. Dyn. Differ. Equ.
, vol.20
, pp. 699-717
-
-
Wang, W.1
Zhao, X.-Q.2
|