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van den Driessche, Pauline

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Author ID: van-den-driessche.pauline Recent zbMATH articles by "van den Driessche, Pauline"
Published as: van den Driessche, P.; van den Driessche, Pauline; Van den Driessche, P.; Van Den Driessche, P.; Den Driessche, Pauline van; Van Den Driessche, Pauline; Den Driessche, P. Van
Homepage: https://www.math.uvic.ca/faculty/pvdd/
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Co-Authors

8 single-authored
87 Olesky, D. Dale
20 Johnson, Charles Royal
18 Shuai, Zhisheng
13 Catral, Minerva
13 Ma, Junling
11 Arino, Julien
11 Shader, Bryan L.
11 Tsatsomeros, Michael J.
10 Edwards, Roderick
10 Fallat, Shaun M.
10 Hogben, Leslie
8 Brauer, Fred
8 Elsner, Ludwig F.
8 Hethcote, Herbert W.
8 Watmough, James
7 Kim, In-Jae
7 Lewis, Mark Alun
7 Wu, Jianhong
7 Yakubu, Abdul-Aziz
7 Zou, Xingfu
6 Braddock, Roger D.
6 Jeffries, Clark D.
6 Maybee, John S.
6 Mcdonald, Judith Joanne
6 Saad-Roy, Chadi M.
6 Wang, Lin
5 Barrett, Wayne W.
5 Cooke, Kenneth L.
5 Garnett, Colin
5 Hall, H. Tracy
5 Willeboordse, Frederick H.
4 Allen, Linda J. S.
4 Barclay, Hugh J.
4 Berliner, Adam H.
4 Britz, Thomas
4 Kirkland, Stephen J.
3 Brualdi, Richard Anthony
3 Busenberg, Stavros N.
3 Butler, Steven Kay
3 Deaett, Louis
3 Kazarinoff, Nicholas D.
3 Klee, Victor LaRue
3 MacGillivray, Gary
3 Machina, Anna
3 Stanford, David P.
3 Stech, Harlan W.
3 Thieme, Horst R.
3 Tien, Joseph Hua
3 van der Holst, Hein
3 Vander Meulen, Kevin N.
3 Zeeman, Mary Lou
2 Asaduzzaman, Sarder Mohammed
2 Barioli, Francesco
2 Blower, Sally M.
2 Campbell, Sue Ann
2 Castillo-Chavez, Carlos
2 Culos, G. J.
2 Derrick, William R.
2 Drew, John H.
2 Eisenberg, Marisa C.
2 Foxall, Eric
2 Gao, Daozhou
2 Genik, Lynne
2 Grundy, D. A.
2 Gumel, Abba B.
2 Hadeler, Karl-Peter
2 Heesterbeek, J. A. P.
2 Jaramillo, J. M.
2 Jordan, Richard
2 Kim, Sehjeong
2 Kirschner, Denise E.
2 Klepac, Petra
2 Komarova, Natalia L.
2 Li, Chi-Kwong
2 Lin, Jephian Chin-Hung
2 Lin, Minghua
2 Lin, Xiaodong
2 Lindquist, Jennifer
2 McCluskey, C. Connell
2 Munganga, Justin Manango W.
2 Neubert, Michael G.
2 Rencławowicz, Joanna
2 Wang, Xueying
2 Yuan, Sanling
2 Zhu, Huaiping
1 Azer, Nancy
1 Bani-Yaghoub, Majid
1 Bapat, Ravindra Bhalchandra
1 Bauch, Chris T.
1 Bélair, Jacques
1 Berman, Abraham S.
1 Bingham, Brad D.
1 Bodine, E. J.
1 Boese, Fritz G.
1 Bowman, Christopher S.
1 Carmona, Ángeles
1 Cavers, Michael S.
1 Cheung, Waishun
1 Chuma, J.
1 Cosner, Chris
...and 88 more Co-Authors
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Serials

59 Linear Algebra and its Applications
28 Journal of Mathematical Biology
23 ELA. The Electronic Journal of Linear Algebra
20 Mathematical Biosciences
17 Linear and Multilinear Algebra
15 Bulletin of Mathematical Biology
12 SIAM Journal on Applied Mathematics
10 SIAM Journal on Matrix Analysis and Applications
7 Mathematical Biosciences and Engineering
7 Journal of Biological Dynamics
4 The Canadian Applied Mathematics Quarterly
4 SIAM Journal on Applied Dynamical Systems
4 Journal of Theoretical Biology
3 Theoretical Population Biology
3 Physica D
3 Discrete and Continuous Dynamical Systems. Series B
2 Journal of the Australian Mathematical Society, Series B
2 Applied Mathematics Notes
2 SIAM Journal on Algebraic and Discrete Methods
2 Journal of Difference Equations and Applications
2 The IMA Volumes in Mathematics and its Applications
2 Special Matrices
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 International Journal of Multiphase Flow
1 Journal of Fluid Mechanics
1 Journal of the Institute of Mathematics and its Applications
1 Journal of Mathematical Analysis and Applications
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Rocky Mountain Journal of Mathematics
1 Canadian Journal of Mathematics
1 Funkcialaj Ekvacioj. Serio Internacia
1 Journal of Differential Equations
1 Journal of Graph Theory
1 The Mathematical Scientist
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 The Annals of Applied Probability
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 The Electronic Journal of Combinatorics
1 Journal of Mathematical Chemistry
1 Mathematical Population Studies
1 Chaos
1 Mathematical Medicine and Biology
1 Lecture Notes in Biomathematics
1 Lecture Notes in Mathematics
1 Science
1 Involve
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

240 Publications have been cited 7,657 times in 5,157 Documents Cited by Year
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Zbl 1015.92036
van den Driessche, P.; Watmough, James
2002
Global attractivity in delayed Hopfield neural network models. Zbl 0917.34036
van den Driessche, P.; Zou, Xingfu
184
1998
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
155
1991
Global results for an epidemic model with vaccination that exhibits backward bifurcation. Zbl 1034.92025
Arino, Julien; McCluskey, C. Connell; van den Driessche, P.
147
2003
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
142
1999
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
137
1996
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
129
2000
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
120
1990
Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072
Shuai, Zhisheng; van den Driessche, P.
113
2013
On zeroes of some transcendental equations. Zbl 0603.34069
Cooke, Kenneth L.; van den Driessche, Pauline
112
1986
Backward bifurcation in epidemic control. Zbl 0904.92031
Hadeler, K. P.; van den Driessche, P.
106
1997
A mathematical model for assessing control strategies against West Nile virus. Zbl 1334.92392
Bowman, C.; Gumel, A. B.; van den Driessche, P.; Wu, J.; Zhu, H.
97
2005
Mathematical epidemiology. Zbl 1159.92034
95
2008
A multi-city epidemic model. Zbl 1028.92021
Arino, Julien; van den Driessche, P.
90
2003
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
89
2001
Zero forcing parameters and minimum rank problems. Zbl 1209.05139
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
85
2010
The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032
Allen, Linda J. S.; van den Driessche, P.
80
2008
Frustration, stability, and delay-induced oscillations in a neural network model. Zbl 0840.92003
Bélair, Jacques; Campbell, Sue Ann; van den Driessche, P.
78
1996
Nonlinear oscillations in epidemic models. Zbl 0469.92012
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
73
1981
A disease transmission model in a nonconstant population. Zbl 0772.92015
Derrick, W. R.; van den Driessche, P.
67
1993
Further notes on the basic reproduction number. Zbl 1206.92038
van den Driessche, P.; Watmough, James
67
2008
Modeling diseases with latency and relapse. Zbl 1123.92018
van den Driessche, P.; Wang, Lin; Zou, Xingfu
65
2007
Effective degree network disease models. Zbl 1232.92066
Lindquist, Jennifer; Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H.
65
2011
Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414
Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P.
60
2006
Global dynamics of cholera models with differential infectivity. Zbl 1244.92040
Shuai, Zhisheng; van den Driessche, P.
60
2011
Three-dimensional competitive Lotka-Volterra systems with no periodic orbits. Zbl 0910.34050
van den Driessche, P.; Zeeman, M. L.
59
1998
Parameters related to tree-width, zero forcing, and maximum nullity of a graph. Zbl 1259.05112
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; Den Driessche, P. Van; Van Der Holst, Hein
58
2013
An SIS epidemic model with variable population size and a delay. Zbl 0836.92022
Hethcote, Herbert W.; van den Driessche, P.
56
1995
A multi-species epidemic model with spatial dynamics. Zbl 1076.92045
Arino, Julien; Davis, Jonathan R.; Hartley, David; Jordan, Richard; Miller, Joy M.; van den Driessche, P.
54
2005
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
54
2013
Modeling relapse in infectious diseases. Zbl 1114.92047
Van Den Driessche, P.; Zou, Xingfu
52
2007
A cholera model in a patchy environment with water and human movement. Zbl 1309.92073
Eisenberg, Marisa C.; Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, P.
51
2013
Delayed coupling between two neural network loops. Zbl 1072.92003
Campbell, Sue Ann; Edwards, R.; van den Driessche, P.
49
2004
Two SIS epidemiologic models with delays. Zbl 0959.92025
Hethcote, Herbert W.; van den Driessche, P.
48
2000
Spectrally arbitrary patterns. Zbl 0957.15012
Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P.
48
2000
Global stability of SEIRS models in epidemiology. Zbl 0976.92020
Li, Michael Y.; Muldowney, James S.; van den Driessche, P.
46
1999
Quarantine in a multi-species epidemic model with spatial dynamics. Zbl 1124.92042
Arino, Julien; Jordan, Richard; van den Driessche, P.
46
2007
An epidemiological model with a delay and a nonlinear incidence rate. Zbl 0714.92021
Hethcote, H. W.; Lewis, M. A.; van den Driessche, P.
46
1989
When is a matrix sign stable? Zbl 0383.15005
Jeffries, Clark; Klee, Victor; van den Driessche, Pauline
43
1977
A model predator-prey system with functional response. Zbl 0382.92007
Kazarinoff, N. D.; Van den Driessche, P.
42
1978
Global analysis of two tuberculosis models. Zbl 1056.92052
McCluskey, C. Connell; van den Driessche, P.
42
2004
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
42
2007
Impact of travel between patches for spatial spread of disease. Zbl 1298.92100
Hsieh, Ying-Hen; van den Driessche, P.; Wang, Lin
41
2007
A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
41
2008
A model for disease transmission in a patchy environment. Zbl 1088.92050
Salmani, Mahin; van den Driessche, P.
40
2006
Disease spread in metapopulations. Zbl 1107.34042
Arino, Julien; van den Driessche, P.
37
2006
Minimal spectrally arbitrary sign patterns. Zbl 1082.15016
Britz, T.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P.
34
2004
Matrices, digraphs, and determinants. Zbl 0701.05038
Maybee, John S.; Olesky, D. D.; van den Driessche, P.; Wiener, G.
34
1989
Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047
Allen, L. J. S.; van den Driessche, P.
34
2013
The basic reproduction number in a multi-city compartmental epidemic model. Zbl 1057.92045
Arino, Julien; van den Driessche, Pauline
33
2003
Mathematical study of a staged-progression HIV model with imperfect vaccine. Zbl 1296.92124
Gumel, A. B.; McCluskey, Connell C.; van den Driessche, P.
33
2006
On the power method in max algebra. Zbl 0949.65032
Elsner, Ludwig; van den Driessche, P.
31
1999
Max-algebra and pairwise comparison matrices. Zbl 1056.15009
Elsner, L.; van den Driessche, P.
30
2004
Periodicity and stability in epidemic models: a survey. Zbl 0477.92014
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
30
1981
Mathematical approaches for emerging and reemerging infectious diseases: Models, methods, and theory. Proceedings of a workshop, integral part of the IMA program on mathematics in biology. Zbl 0989.00064
30
2002
Stabilization role of inhibitory self-connections in a delayed neural network. Zbl 1007.34072
van den Driessche, P.; Wu, Jianhong; Zou, Xingfu
29
2001
Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
29
2013
Stability analysis for models of diseases without immunity. Zbl 0475.92014
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
28
1981
Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041
Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline
28
2012
Stabilizing dispersal delays in predator-prey metapopulation models. Zbl 1038.92032
Neubert, Michael G.; Klepac, Petra; van den Driessche, P.
27
2002
Hopf bifurcation and stability of periodic solutions of differential- difference and integro-differential equations. Zbl 0379.45021
Kazarinoff, N. D.; Wan, Y.-H.; van den Driessche, P.
26
1978
Mathematical approaches for emerging and reemerging infectious diseases: An introduction. Proceedings of a tutorial Introduction to epidemiology and immunology. An overview to the IMA workshop on mathematical approaches for emerging and reemerging infectious diseases: Models, methods and theory. IMA program on mathematics in biology. Zbl 0989.00065
26
2002
A method for proving the non-existence of limit cycles. Zbl 0779.34026
Busenberg, Stavros; van den Driessche, P.
25
1993
An epidemiological model for HIV/AIDS with proportional recruitment. Zbl 0793.92011
Lin, Xiaodong; Hethcote, Herbert W.; van den Driessche, P.
25
1993
Qualitative stability of linear systems. Zbl 0625.05033
Jeffries, Clark; Klee, Victor; van den Driessche, Pauline
24
1987
Waves of extinction from sterile insect release. Zbl 0778.92024
Lewis, M. A.; Van den Driessche, P.
23
1993
Modifying the power method in max algebra. Zbl 0982.65042
Elsner, Ludwig; van den Driessche, P.
23
2001
Ray patterns of matrices and nonsingularity. Zbl 0887.15002
McDonald, J. J.; Olesky, D. D.; Tsatsomeros, M. J.; van den Driessche, P.
23
1997
Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population. Zbl 1126.34337
Derrick, W. R.; van den Driessche, P.
23
2003
An epidemiology model that includes a leaky vaccine with a general waning function. Zbl 1040.92035
Arino, Julien; Cooke, K. L.; van den Driessche, P.; Velasco-Hernández, J.
22
2004
A comparison of continuous and discrete-time West Nile virus models. Zbl 1334.92413
Lewis, Mark A.; Rencławowicz, Joanna; van den Driessche, P.; Wonham, Marjorie
20
2006
Spectrally arbitrary star sign patterns. Zbl 1072.15013
MacGillivray, G.; Tifenbach, R. M.; van den Driessche, P.
20
2005
Singular dynamics in gene network models. Zbl 1285.34048
Machina, A.; Edwards, R.; van den Driessche, P.
20
2013
The impact of maturation delay of mosquitoes on the transmission of West Nile virus. Zbl 1204.92057
Fan, Guihong; Liu, Junli; van den Driessche, P.; Wu, Jianhong; Zhu, Huaiping
19
2010
On matrices with all minors negative. Zbl 0962.15014
Fallat, Shaun M.; van den Driessche, P.
18
2000
Max-algebra and pairwise comparison matrices. II. Zbl 1191.15019
Elsner, L.; van den Driessche, P.
17
2010
Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005
Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline
17
2009
Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009
Catral, M.; Olesky, D. D.; van den Driessche, P.
17
2009
Sign patterns that require or allow particular refined inertias. Zbl 1277.15023
Bodine, E.; Deaett, L.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P.
17
2012
Time delays in epidemic models. Modeling and numerical considerations. Zbl 1131.34055
Arino, J.; van den Driessche, P.
17
2006
Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395
Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata
17
2012
Nested sequences of principal minors and potential stability. Zbl 0880.15025
Johnson, Charles R.; Maybee, John S.; Olesky, D. D.; van den Driessche, P.
16
1997
Generating potentially nilpotent full sign patterns. Zbl 1181.15039
Kim, In-Jae; Olesky, Dale D.; Shader, Bryan L.; Van Den Driessche, Pauline; Van Der Holst, Hein; Vander Meulen, Kevin N.
16
2009
Exponents of tuples of nonnegative matrices. Zbl 1018.15018
Olesky, D. D.; Shader, Bryan; van den Driessche, P.
15
2002
On the spectra of striped sign patterns. Zbl 1023.15005
McDonald, J. J.; Olesky, D. D.; Tsatsomeros, M. J.; van den Driessche, P.
15
2002
Oscillations in a patchy environment disease model. Zbl 1176.34098
Brauer, Fred; van den Driessche, P.; Wang, Lin
15
2008
Pattern properties and spectral inequalities in max algebra. Zbl 0835.15007
Bapat, R. B.; Stanford, David P.; van den Driessche, P.
14
1995
Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088
Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P.
14
2015
Disease induced oscillations between two competing species. Zbl 1055.92058
van den Driessche, P.; Zeeman, M. L.
13
2004
Linear algorithms for testing the sign stability of a matrix and for finding Z-maximum matchings in acyclic graphs. Zbl 0348.65032
Klee, Victor; van den Driessche, Pauline
13
1977
M\(_\vee\)-matrices: a generalization of M-matrices based on eventually nonnegative matrices. Zbl 1189.15040
Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline
13
2009
Refined inertias of tree sign-patterns. Zbl 1282.05113
Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline
13
2013
A modelling framework for gene regulatory networks including transcription and translation. Zbl 1335.92031
Edwards, R.; Machina, Anna; McGregor, Geoffrey; van den Driessche, P.
13
2015
Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028
Allen, Linda J. S.; van den Driessche, P.
13
2006
The principal rank characteristic sequence of a real symmetric matrix. Zbl 1236.15015
Brualdi, R. A.; Deaett, L.; Olesky, D. D.; van den Driessche, P.
13
2012
Impact of heterogeneity on the dynamics of an SEIR epidemic model. Zbl 1260.92076
Shuai, Zhisheng; Van Den Driessche, P.
12
2012
Group inverses of matrices with path graphs. Zbl 1154.15004
Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline
12
2008
On a two lag differential delay equation. Zbl 0513.92016
Braddock, R. D.; van den Driessche, P.
12
1983
Effective degree household network disease model. Zbl 1256.92033
Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H.
11
2013
An epidemic model with recruitment-death demographics and discrete delays. Zbl 0926.92029
Genik, Lynne; van den Driessche, P.
11
1999
Stochastic model of bovine babesiosis with juvenile and adult cattle. Zbl 1437.92144
Wang, Xueying; Saad-Roy, Chadi M.; van den Driessche, P.
1
2020
Relations between classes of potentially stable sign patterns. Zbl 1448.15042
Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline
1
2020
The sepr-sets of sign patterns. Zbl 1452.15018
Hogben, Leslie; Lin, Jephian C.-H.; Olesky, D. D.; van den Driessche, P.
1
2020
A general theory for target reproduction numbers with applications to ecology and epidemiology. Zbl 1415.92153
Lewis, Mark A.; Shuai, Zhisheng; van den Driessche, P.
10
2019
Habitat fragmentation promotes malaria persistence. Zbl 1431.92133
Gao, Daozhou; van den Driessche, P.; Cosner, Chris
9
2019
Disease extinction versus persistence in discrete-time epidemic models. Zbl 1437.92141
van den Driessche, P.; Yakubu, Abdul-Aziz
7
2019
Demographic population cycles and \(\mathcal{R}_0\) in discrete-time epidemic models. Zbl 1447.92481
van den Driessche, P.; Yakubu, Abdul-Aziz
2
2019
The effect of sexual transmission on Zika virus dynamics. Zbl 1404.92202
Saad-Roy, C. M.; Ma, Junling; van den Driessche, P.
8
2018
Stability of control networks in autonomous homeostatic regulation of stem cell lineages. Zbl 1394.92050
Komarova, Natalia L.; van den Driessche, P.
5
2018
Sign pattern matrices. Zbl 1407.15042
van den Driessche, P.
3
2018
Inertia sets allowed by matrix patterns. Zbl 1398.15035
Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline
3
2018
Host contact structure is important for the recurrence of influenza A. Zbl 1400.92498
Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yuan, Sanling
2
2018
Sign patterns requiring a unique inertia. Zbl 1390.15105
Lin, Jephian C.-H.; Olesky, D. D.; van den Driessche, P.
1
2018
Sets of refined inertias of zero-nonzero patterns. Zbl 1352.15035
Berliner, Adam H.; Olesky, D. D.; van den Driessche, P.
7
2017
A mathematical model of anthrax transmission in animal populations. Zbl 1368.92191
Saad-Roy, C. M.; van den Driessche, P.; Yakubu, Abdul-Aziz
5
2017
The enhanced principal rank characteristic sequence for Hermitian matrices. Zbl 1375.15057
Butler, Steve; Catral, Minerva; Hall, H. Tracy; Hogben, Leslie; Martínez-Rivera, Xavier; Shader, Bryan L.; van den Driessche, Pauline
4
2017
Bordering for spectrally arbitrary sign patterns. Zbl 1371.15032
Olesky, D. D.; van den Driessche, P.; Vander Meulen, K. N.
2
2017
The enhanced principal rank characteristic sequence. Zbl 1334.15017
Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael
9
2016
Characterization of a family of generalized companion matrices. Zbl 1371.15019
Garnett, C.; Shader, B. L.; Shader, C. L.; van den Driessche, P.
6
2016
A mathematical model of syphilis transmission in an MSM population. Zbl 1358.92096
Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P.
6
2016
Using sign patterns to detect the possibility of periodicity in biological systems. Zbl 1337.92015
Culos, G. J.; Olesky, D. D.; van den Driessche, P.
5
2016
The enhanced principal rank characteristic sequence for skew-symmetric matrices. Zbl 1334.15018
Fallat, Shaun M.; Olesky, Dale D.; van den Driessche, Pauline
3
2016
Social contact processes and the partner model. Zbl 1345.60115
Foxall, Eric; Edwards, Roderick; van den Driessche, P.
2
2016
Disease invasion risk in a growing population. Zbl 1345.92159
Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling
2
2016
Analysis of a model of gambiense sleeping sickness in humans and cattle. Zbl 1448.92326
Ndondo, A. M.; Munganga, J. M. W.; Mwambakana, J. N.; Saad-Roy, C. M.; van den Driessche, P.; Walo, R. O.
2
2016
Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088
Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P.
14
2015
A modelling framework for gene regulatory networks including transcription and translation. Zbl 1335.92031
Edwards, R.; Machina, Anna; McGregor, Geoffrey; van den Driessche, P.
13
2015
Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”. Zbl 1312.92030
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
9
2015
Modelling and control of cholera on networks with a common water source. Zbl 1448.92340
Shuai, Zhisheng; van den Driessche, P.
7
2015
Model for disease dynamics of a waterborne pathogen on a random network. Zbl 1350.92052
Li, Meili; Ma, Junling; van den Driessche, P.
6
2015
Models of Bovine Babesiosis including juvenile cattle. Zbl 1332.92074
Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P.
6
2015
The coexistence or replacement of two subtypes of influenza. Zbl 1364.92038
Asaduzzaman, Sarder Mohammed; Ma, Junling; van den Driessche, P.
2
2015
A note on sign patterns of order 3 that require particular refined inertias. Zbl 1302.15040
Garnett, C.; Olesky, D. D.; van den Driessche, P.
11
2014
The principal rank characteristic sequence over various fields. Zbl 1297.15002
Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael
10
2014
Integrally normalizable matrices and zero-nonzero patterns. Zbl 1302.15041
Garnett, C.; Olesky, D. D.; Shader, B. L.; van den Driessche, P.
5
2014
Inverses and eigenvalues of diamond alternating sign matrices. Zbl 1310.15008
Catral, Minerva; Lin, Minghua; Olesky, D. D.; van den Driessche, P.
4
2014
Walks and cycles on a digraph with application to population dynamics. Zbl 1290.05083
Moon, J. W.; Shuai, Zhisheng; van den Driessche, P.
3
2014
Positive semidefinite \(3 \times 3\) block matrices. Zbl 1326.15027
Lin, Minghua; Den Driessche, Pauline van
2
2014
Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072
Shuai, Zhisheng; van den Driessche, P.
113
2013
Parameters related to tree-width, zero forcing, and maximum nullity of a graph. Zbl 1259.05112
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; Den Driessche, P. Van; Van Der Holst, Hein
58
2013
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
54
2013
A cholera model in a patchy environment with water and human movement. Zbl 1309.92073
Eisenberg, Marisa C.; Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, P.
51
2013
Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047
Allen, L. J. S.; van den Driessche, P.
34
2013
Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
29
2013
Singular dynamics in gene network models. Zbl 1285.34048
Machina, A.; Edwards, R.; van den Driessche, P.
20
2013
Refined inertias of tree sign-patterns. Zbl 1282.05113
Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline
13
2013
Effective degree household network disease model. Zbl 1256.92033
Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H.
11
2013
Refined inertias of tree sign patterns of orders 2 and 3. Zbl 1275.15020
Olesky, D. D.; Rempel, Michael F.; van den Driessche, P.
9
2013
Techniques for identifying inertially arbitrary patterns. Zbl 1283.15093
Cavers, M. S.; Garnett, C.; Kim, I.-J.; Olesky, D. D.; van den Driessche, P.; Vander Meulen, K. N.
8
2013
Sensitive dependence on initial conditions in gene networks. Zbl 1331.37138
Machina, A.; Edwards, R.; van den Driessche, P.
7
2013
Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions. Zbl 1301.92075
Hernández-Cerón, Nancy; Feng, Zhilan; van den Driessche, P.
7
2013
The importance of contact network topology for the success of vaccination strategies. Zbl 1314.92164
Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H.
3
2013
Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041
Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline
28
2012
Sign patterns that require or allow particular refined inertias. Zbl 1277.15023
Bodine, E.; Deaett, L.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P.
17
2012
Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395
Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata
17
2012
The principal rank characteristic sequence of a real symmetric matrix. Zbl 1236.15015
Brualdi, R. A.; Deaett, L.; Olesky, D. D.; van den Driessche, P.
13
2012
Impact of heterogeneity on the dynamics of an SEIR epidemic model. Zbl 1260.92076
Shuai, Zhisheng; Van Den Driessche, P.
12
2012
Constructions for potentially stable sign patterns. Zbl 1245.15030
Grundy, D. A.; Olesky, D. D.; van den Driessche, P.
7
2012
A contraction argument for two-dimensional spiking neuron models. Zbl 1243.37065
Foxall, Eric; Edwards, Roderick; Ibrahim, Slim; van den Driessche, P.
3
2012
Sign patterns that allow strong eventual nonnegativity. Zbl 1250.15032
Catral, M.; Erickson, C.; Hogben, L.; Olesky, D. D.; van den Driessche, P.
2
2012
Sign patterns with a nest of positive principal minors. Zbl 1244.15022
Olesky, D. Dale; Tsatsomeros, Michael J.; van den Driessche, Pauline
1
2012
Effective degree network disease models. Zbl 1232.92066
Lindquist, Jennifer; Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H.
65
2011
Global dynamics of cholera models with differential infectivity. Zbl 1244.92040
Shuai, Zhisheng; van den Driessche, P.
60
2011
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
7
2011
Control design for sustained oscillation in a two-gene regulatory network. Zbl 1232.92048
Edwards, Roderick; Kim, Sehjeong; van den Driessche, P.
3
2011
Pandemic influenza: modelling and public health perspectives. Zbl 1260.92046
Arino, Julien; Bauch, Chris; Brauer, Fred; Driedger, S. Michelle; Greer, Amy L.; Moghadas, S. M.; Pizzi, Nick J.; Sander, Beate; Tuite, Ashleigh; Van den Driessche, P.; Watmough, James; Wu, Jianhong; Yan, Ping
1
2011
Global dynamics of a disease model including latency with distributed delays. Zbl 1241.92068
Shuai, Zhisheng; Van Den Driessche, P.
1
2011
Zero forcing parameters and minimum rank problems. Zbl 1209.05139
Barioli, Francesco; Barrett, Wayne; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Shader, Bryan; van den Driessche, P.; van der Holst, Hein
85
2010
The impact of maturation delay of mosquitoes on the transmission of West Nile virus. Zbl 1204.92057
Fan, Guihong; Liu, Junli; van den Driessche, P.; Wu, Jianhong; Zhu, Huaiping
19
2010
Max-algebra and pairwise comparison matrices. II. Zbl 1191.15019
Elsner, L.; van den Driessche, P.
17
2010
Refined inertially and spectrally arbitrary zero-nonzero patterns. Zbl 1207.15034
Deaett, Louis; Olesky, Dale D.; van den Driessche, Pauline
10
2010
Graphical description of group inverses of certain bipartite matrices. Zbl 1184.15004
Catral, M.; Olesky, D. D.; van den Driessche, P.
9
2010
A multigroup model for a heterosexually transmitted disease. Zbl 1188.92032
Edwards, R.; Kim, Sehjeong; van den Driessche, Pauline
7
2010
Impact of group mixing on disease dynamics. Zbl 1200.92027
van den Driessche, P.; Wang, Lin; Zou, Xingfu
5
2010
Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005
Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline
17
2009
Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009
Catral, M.; Olesky, D. D.; van den Driessche, P.
17
2009
Generating potentially nilpotent full sign patterns. Zbl 1181.15039
Kim, In-Jae; Olesky, Dale D.; Shader, Bryan L.; Van Den Driessche, Pauline; Van Der Holst, Hein; Vander Meulen, Kevin N.
16
2009
M\(_\vee\)-matrices: a generalization of M-matrices based on eventually nonnegative matrices. Zbl 1189.15040
Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline
13
2009
Sign patterns that allow eventual positivity. Zbl 1190.15031
Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline
11
2009
Network evolution by different rewiring schemes. Zbl 1179.37075
Lindquist, Jennifer; Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H.
10
2009
A graph-theoretic method for the basic reproduction number in continuous time epidemiological models. Zbl 1231.92059
de-Camino-Beck, Tomás; Lewis, Mark A.; van den Driessche, P.
5
2009
Critical sets of inertias for matrix patterns. Zbl 1168.15004
Kim, In-Jae; Olesky, D. D.; van den Driessche, P.
4
2009
Sign patterns that require or allow power-positivity. Zbl 1190.15032
Catral, Minerva; Hogben, Leslie; Olesky, Dale D.; van den Driessche, Pauline
4
2009
Mathematical epidemiology. Zbl 1159.92034
95
2008
The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032
Allen, Linda J. S.; van den Driessche, P.
80
2008
Further notes on the basic reproduction number. Zbl 1206.92038
van den Driessche, P.; Watmough, James
67
2008
A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
41
2008
Oscillations in a patchy environment disease model. Zbl 1176.34098
Brauer, Fred; van den Driessche, P.; Wang, Lin
15
2008
Group inverses of matrices with path graphs. Zbl 1154.15004
Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline
12
2008
The control of vector-borne disease epidemics. Zbl 1400.92488
Hosack, Geoffrey R.; Rossignol, Philippe A.; van den Driessche, P.
11
2008
Bounds for the Perron root using max eigenvalues. Zbl 1141.15017
Elsner, Ludwig; van den Driessche, P.
9
2008
Deterministic compartmental models: Extensions of basic models. Zbl 1206.92036
van den Driessche, P.
5
2008
Spatial structure: patch models. Zbl 1206.92037
van den Driessche, P.
3
2008
Case fatality proportion. Zbl 1281.92061
Ma, Junling; van den Driessche, P.
3
2008
Primitive digraphs with smallest large exponent. Zbl 1138.05033
MacGillivray, G.; Nasserasr, S.; Olesky, D. D.; van den Driessche, P.
2
2008
Sign patterns that allow a positive or nonnegative left inverse. Zbl 1144.15015
Kim, In-Jae; Olesky, D. D.; Shader, B. L.; van den Driessche, P.
1
2008
Modeling diseases with latency and relapse. Zbl 1123.92018
van den Driessche, P.; Wang, Lin; Zou, Xingfu
65
2007
Modeling relapse in infectious diseases. Zbl 1114.92047
Van Den Driessche, P.; Zou, Xingfu
52
2007
Quarantine in a multi-species epidemic model with spatial dynamics. Zbl 1124.92042
Arino, Julien; Jordan, Richard; van den Driessche, P.
46
2007
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
42
2007
...and 140 more Documents
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Cited by 6,347 Authors

130 van den Driessche, Pauline
66 Gumel, Abba B.
64 Jin, Zhen
60 Teng, Zhi-dong
54 Wu, Jianhong
46 Ruan, Shigui
45 Li, Xuezhi
42 Olesky, D. Dale
39 Xiao, Yanni
39 Zhu, Huaiping
38 Wang, Jin
37 Zou, Xingfu
36 Cui, Jingan
36 Huo, Hai-Feng
36 Wang, Wendi
35 Mushayabasa, Steady
35 Qiu, Zhipeng
34 Xu, Rui
33 Khan, Muhammad Altaf
33 Wang, Jinliang
33 Zhao, Xiao-Qiang
32 Allen, Linda J. S.
32 Martcheva, Maia
31 Kuniya, Toshikazu
30 Bhunu, Claver Pedzisai
30 Feng, Zhilan
29 Cao, Jinde
28 Cai, Liming
28 Nyabadza, Farai
28 Sun, Guiquan
27 Wei, Junjie
26 Zhang, Tailei
26 Zhou, Yicang
25 Ghosh, Mini
25 Johnson, Charles Royal
25 Liu, Shengqiang
24 Rong, Libin
23 Brauer, Fred
22 Bowong, Samuel
22 Castillo-Chavez, Carlos
22 Li, Michael Yi
22 Liu, Xianning
22 Ma, Junling
22 Ma, Wanbiao
22 Mugisha, Joseph Y. T.
22 Tchuenche, Jean Michel
22 Wang, Lin
22 Wang, Xueying
21 Chen, Yuming
21 Liu, Junli
21 Mukandavire, Zindoga
21 Takeuchi, Yasuhiro
20 Buonomo, Bruno
20 Jiang, Daqing
20 Lenhart, Suzanne M.
20 Li, Jianquan
20 Lou, Yijun
20 Shuai, Zhisheng
20 Yakubu, Abdul-Aziz
20 Yang, Junyuan
20 Zhang, Fengqin
19 Lubuma, Jean Mbaro-Saman
19 Okuonghae, Daniel
18 Chen, Lansun
18 Fallat, Shaun M.
18 Fu, Xinchu
18 Gao, Daozhou
18 Hogben, Leslie
18 Liao, Xiaofeng
18 Luboobi, Livingstone Serwadda
18 Makinde, Oluwole Daniel
18 Smith?, Robert Joseph
18 Xiang, Hong
17 Agusto, Folashade B.
17 Cai, Yongli
17 Tang, Sanyi
17 Torres, Delfim Fernando Marado
17 Wang, Weiming
16 Chattopadhyay, Joydev
16 Gao, Shujing
16 Garira, Winston S.
16 Hethcote, Herbert W.
16 Kar, Tapan Kumar
16 Shao, Yanling
16 Thieme, Horst R.
16 Wu, Qingchu
15 El Fatini, Mohamed
15 Gao, Yubin
15 Hadeler, Karl-Peter
15 Hyman, James M.
15 Lin, Zhigui
15 Mcdonald, Judith Joanne
15 Shader, Bryan L.
15 Vaidya, Naveen K.
15 Wang, Feng-Bin
15 Wang, Xia
15 Webb, Glenn Francis
15 Yang, Hyun Mo
15 Yuan, Sanling
15 Zhang, Xinan
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Cited in 372 Serials

251 Mathematical Biosciences
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230 Bulletin of Mathematical Biology
226 Applied Mathematics and Computation
213 Mathematical Biosciences and Engineering
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197 Journal of Mathematical Biology
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144 Journal of Biological Dynamics
137 Advances in Difference Equations
120 Nonlinear Analysis. Real World Applications
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103 Physica A
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17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Nonautonomous Dynamical Systems
7 Special Matrices
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6 Fuzzy Sets and Systems
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