Edit Profile (opens in new tab) van den Driessche, Pauline Co-Author Distance Author ID: 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 more...less Homepage: https://www.math.uvic.ca/faculty/pvdd/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 279 Publications since 1972, including 1 Additional arXiv Preprint 7 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 191 Co-Authors with 277 Joint Publications 4,849 Co-Co-Authors all top 5 Co-Authors 8 single-authored 89 Olesky, D. Dale 20 Johnson, Charles Royal 18 Shuai, Zhisheng 17 Catral, Minerva 14 Ma, Junling 11 Arino, Julien 11 Shader, Bryan L. 11 Tsatsomeros, Michael J. 10 Edwards, Roderick 10 Fallat, Shaun M. 10 Hogben, Leslie 9 Brauer, Fred 9 Watmough, James 8 Elsner, Ludwig F. 8 Hethcote, Herbert W. 8 Lewis, Mark Alun 7 Kim, In-Jae 7 Wu, Jianhong 7 Yakubu, Abdul-Aziz 7 Zou, Xingfu 6 Berliner, Adam H. 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 Vander Meulen, Kevin N. 5 Willeboordse, Frederick H. 4 Allen, Linda J. S. 4 Barclay, Hugh J. 4 Britz, Thomas 4 Kirkland, Stephen J. 3 Brualdi, Richard Anthony 3 Busenberg, Stavros N. 3 Butler, Steven Kay 3 Cavers, Michael S. 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 Zeeman, Mary Lou 2 Asaduzzaman, Sarder Mohammed 2 Barioli, Francesco 2 Blower, Sally M. 2 Breen, Jane 2 Brouwer, Carraugh 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 Harrington, Peter D. 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 Bednarski, Sam 1 Bélair, Jacques 1 Berman, Abraham S. 1 Bingham, Brad D. 1 Bodine, E. J. 1 Boese, Fritz G. 1 Bowman, Christopher S. ...and 98 more Co-Authors all top 5 Serials 61 Linear Algebra and its Applications 28 Journal of Mathematical Biology 24 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 8 Journal of Biological Dynamics 7 Mathematical Biosciences and Engineering 5 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 3 Special Matrices 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 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 Statistical Papers 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 all top 5 Fields 153 Biology and other natural sciences (92-XX) 118 Linear and multilinear algebra; matrix theory (15-XX) 94 Ordinary differential equations (34-XX) 77 Combinatorics (05-XX) 25 Dynamical systems and ergodic theory (37-XX) 23 Numerical analysis (65-XX) 16 Integral equations (45-XX) 12 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 249 Publications have been cited 8,957 times in 6,018 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 3,033 2002 Global attractivity in delayed Hopfield neural network models. Zbl 0917.34036 van den Driessche, P.; Zou, Xingfu 194 1998 Some epidemiological models with nonlinear incidence. Zbl 0722.92015 Hethcote, H. W.; van den Driessche, P. 177 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. 165 2003 Mathematical epidemiology. Zbl 1159.92034 163 2008 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016 Cooke, K.; van den Driessche, P.; Zou, X. 158 1999 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019 Cooke, K. L.; van den Driessche, P. 150 1996 A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029 van den Driessche, P.; Watmough, James 147 2000 Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072 Shuai, Zhisheng; van den Driessche, P. 141 2013 On zeroes of some transcendental equations. Zbl 0603.34069 Cooke, Kenneth L.; van den Driessche, Pauline 128 1986 Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021 Busenberg, S.; van den Driessche, P. 124 1990 Backward bifurcation in epidemic control. Zbl 0904.92031 Hadeler, K. P.; van den Driessche, P. 109 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. 106 2005 A multi-city epidemic model. Zbl 1028.92021 Arino, Julien; van den Driessche, P. 101 2003 Models for transmission of disease with immigration of infectives. Zbl 0995.92041 Brauer, Fred; van den Driessche, P. 99 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 96 2010 The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032 Allen, Linda J. S.; van den Driessche, P. 93 2008 Further notes on the basic reproduction number. Zbl 1206.92038 van den Driessche, P.; Watmough, James 92 2008 Frustration, stability, and delay-induced oscillations in a neural network model. Zbl 0840.92003 Bélair, Jacques; Campbell, Sue Ann; van den Driessche, P. 83 1996 Nonlinear oscillations in epidemic models. Zbl 0469.92012 Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. 79 1981 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414 Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P. 75 2006 A disease transmission model in a nonconstant population. Zbl 0772.92015 Derrick, W. R.; van den Driessche, P. 74 1993 Effective degree network disease models. Zbl 1232.92066 Lindquist, Jennifer; Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 74 2011 Global dynamics of cholera models with differential infectivity. Zbl 1244.92040 Shuai, Zhisheng; van den Driessche, P. 74 2011 Modeling diseases with latency and relapse. Zbl 1123.92018 van den Driessche, P.; Wang, Lin; Zou, Xingfu 72 2007 An SIS epidemic model with variable population size and a delay. Zbl 0836.92022 Hethcote, Herbert W.; van den Driessche, P. 68 1995 Dynamics of an age-of-infection cholera model. Zbl 1273.92050 Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 66 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 66 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. 62 2013 Three-dimensional competitive Lotka-Volterra systems with no periodic orbits. Zbl 0910.34050 van den Driessche, P.; Zeeman, M. L. 61 1998 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. 60 2005 Modeling relapse in infectious diseases. Zbl 1114.92047 Van Den Driessche, P.; Zou, Xingfu 56 2007 A final size relation for epidemic models. Zbl 1123.92030 Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 54 2007 Quarantine in a multi-species epidemic model with spatial dynamics. Zbl 1124.92042 Arino, Julien; Jordan, Richard; van den Driessche, P. 53 2007 Delayed coupling between two neural network loops. Zbl 1072.92003 Campbell, Sue Ann; Edwards, R.; van den Driessche, P. 53 2004 Spectrally arbitrary patterns. Zbl 0957.15012 Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P. 52 2000 A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147 Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 52 2008 Periodicity and stability in epidemic models: a survey. Zbl 0477.92014 Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. 51 1981 Two SIS epidemiologic models with delays. Zbl 0959.92025 Hethcote, Herbert W.; van den Driessche, P. 50 2000 Global stability of SEIRS models in epidemiology. Zbl 0976.92020 Li, Michael Y.; Muldowney, James S.; van den Driessche, P. 49 1999 An epidemiological model with a delay and a nonlinear incidence rate. Zbl 0714.92021 Hethcote, H. W.; Lewis, M. A.; van den Driessche, P. 49 1989 Global analysis of two tuberculosis models. Zbl 1056.92052 McCluskey, C. Connell; van den Driessche, P. 48 2004 A model predator-prey system with functional response. Zbl 0382.92007 Kazarinoff, N. D.; Van den Driessche, P. 48 1978 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 48 2012 Impact of travel between patches for spatial spread of disease. Zbl 1298.92100 Hsieh, Ying-Hen; van den Driessche, P.; Wang, Lin 46 2007 A model for disease transmission in a patchy environment. Zbl 1088.92050 Salmani, Mahin; van den Driessche, P. 45 2006 When is a matrix sign stable? Zbl 0383.15005 Jeffries, Clark; Klee, Victor; van den Driessche, Pauline 44 1977 Disease spread in metapopulations. Zbl 1107.34042 Arino, Julien; van den Driessche, P. 40 2006 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. 40 2013 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 39 2002 Matrices, digraphs, and determinants. Zbl 0701.05038 Maybee, John S.; Olesky, D. D.; van den Driessche, P.; Wiener, G. 39 1989 Mathematical study of a staged-progression HIV model with imperfect vaccine. Zbl 1296.92124 Gumel, A. B.; McCluskey, Connell C.; van den Driessche, P. 39 2006 Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041 Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline 39 2012 The basic reproduction number in a multi-city compartmental epidemic model. Zbl 1057.92045 Arino, Julien; van den Driessche, Pauline 36 2003 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 35 2002 Minimal spectrally arbitrary sign patterns. Zbl 1082.15016 Britz, T.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P. 35 2004 On the power method in max algebra. Zbl 0949.65032 Elsner, Ludwig; van den Driessche, P. 33 1999 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. 32 2013 Max-algebra and pairwise comparison matrices. Zbl 1056.15009 Elsner, L.; van den Driessche, P. 31 2004 Stabilization role of inhibitory self-connections in a delayed neural network. Zbl 1007.34072 van den Driessche, P.; Wu, Jianhong; Zou, Xingfu 29 2001 Stability analysis for models of diseases without immunity. Zbl 0475.92014 Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. 29 1981 Waves of extinction from sterile insect release. Zbl 0778.92024 Lewis, M. A.; Van den Driessche, P. 28 1993 An epidemiological model for HIV/AIDS with proportional recruitment. Zbl 0793.92011 Lin, Xiaodong; Hethcote, Herbert W.; van den Driessche, P. 28 1993 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. 27 1978 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. 25 2004 A method for proving the non-existence of limit cycles. Zbl 0779.34026 Busenberg, Stavros; van den Driessche, P. 25 1993 Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population. Zbl 1126.34337 Derrick, W. R.; van den Driessche, P. 24 2003 Qualitative stability of linear systems. Zbl 0625.05033 Jeffries, Clark; Klee, Victor; van den Driessche, Pauline 24 1987 Modifying the power method in max algebra. Zbl 0982.65042 Elsner, Ludwig; van den Driessche, P. 24 2001 Ray patterns of matrices and nonsingularity. Zbl 0887.15002 McDonald, J. J.; Olesky, D. D.; Tsatsomeros, M. J.; van den Driessche, P. 24 1997 Time delays in epidemic models. Modeling and numerical considerations. Zbl 1131.34055 Arino, J.; van den Driessche, P. 23 2006 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 22 2010 Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009 Catral, M.; Olesky, D. D.; van den Driessche, P. 20 2009 Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 20 2009 Spectrally arbitrary star sign patterns. Zbl 1072.15013 MacGillivray, G.; Tifenbach, R. M.; van den Driessche, P. 20 2005 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 Singular dynamics in gene network models. Zbl 1285.34048 Machina, A.; Edwards, R.; van den Driessche, P. 20 2013 On matrices with all minors negative. Zbl 0962.15014 Fallat, Shaun M.; van den Driessche, P. 19 2000 Max-algebra and pairwise comparison matrices. II. Zbl 1191.15019 Elsner, L.; van den Driessche, P. 19 2010 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. 18 2012 The control of vector-borne disease epidemics. Zbl 1400.92488 Hosack, Geoffrey R.; Rossignol, Philippe A.; van den Driessche, P. 18 2008 Pattern properties and spectral inequalities in max algebra. Zbl 0835.15007 Bapat, R. B.; Stanford, David P.; van den Driessche, P. 17 1995 Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028 Allen, Linda J. S.; van den Driessche, P. 17 2006 Group inverses of matrices with path graphs. Zbl 1154.15004 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 16 2008 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. 16 2002 Oscillations in a patchy environment disease model. Zbl 1176.34098 Brauer, Fred; van den Driessche, P.; Wang, Lin 16 2008 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 Modelling and control of cholera on networks with a common water source. Zbl 1448.92340 Shuai, Zhisheng; van den Driessche, P. 16 2015 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 Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088 Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P. 15 2015 Effective degree household network disease model. Zbl 1256.92033 Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 14 2013 Refined inertias of tree sign-patterns. Zbl 1282.05113 Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline 14 2013 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 Periodicity in piecewise-linear switching networks with delay. Zbl 1131.34050 Edwards, R.; van den Driessche, P.; Wang, Lin 13 2007 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 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 Disease induced oscillations between two competing species. Zbl 1055.92058 van den Driessche, P.; Zeeman, M. L. 13 2004 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 Minimum number of distinct eigenvalues allowed by a sign pattern. Zbl 1503.15046 Breen, J.; Brouwer, C.; Catral, M.; Cavers, M.; van den Driessche, P.; Vander Meulen, K. N. 2 2022 Stability of sign patterns from a system of second order ODEs. Zbl 1477.37034 Berliner, Adam H.; Catral, Minerva; Olesky, D. D.; van den Driessche, P. 1 2022 Effects of asymptomatic infections on the spatial spread of infectious diseases. Zbl 1493.92067 Gao, Daozhou; Munganga, Justin M. W.; van den Driessche, P.; Zhang, Lei 1 2022 Disease-induced hydra effect with overcompensatory recruitment. Zbl 1484.92112 Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yakubu, Abdul-Aziz 1 2022 Impact of varying community networks on disease invasion. Zbl 1467.92209 Kirkland, Stephen; Shuai, Zhisheng; van den Driessche, P.; Wang, Xueying 2 2021 Stochastic model of bovine babesiosis with juvenile and adult cattle. Zbl 1437.92144 Wang, Xueying; Saad-Roy, Chadi M.; van den Driessche, P. 5 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 Age structured discrete-time disease models with demographic population cycles. Zbl 1447.92482 van den Driessche, P.; Yakubu, Abdul-Aziz 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 Habitat fragmentation promotes malaria persistence. Zbl 1431.92133 Gao, Daozhou; van den Driessche, P.; Cosner, Chris 12 2019 Disease extinction versus persistence in discrete-time epidemic models. Zbl 1437.92141 van den Driessche, P.; Yakubu, Abdul-Aziz 11 2019 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. 11 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. 6 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 4 2018 Inertia sets allowed by matrix patterns. Zbl 1398.15035 Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline 4 2018 Sign pattern matrices. Zbl 1407.15042 van den Driessche, P. 4 2018 Sign patterns requiring a unique inertia. Zbl 1390.15105 Lin, Jephian C.-H.; Olesky, D. D.; van den Driessche, P. 1 2018 Estimation of cross-immunity between drifted strains of influenza A/H3N2. Zbl 1391.92047 Asaduzzaman, Sarder Mohammed; Ma, Junling; van den Driessche, P. 1 2018 A mathematical model of anthrax transmission in animal populations. Zbl 1368.92191 Saad-Roy, C. M.; van den Driessche, P.; Yakubu, Abdul-Aziz 13 2017 Sets of refined inertias of zero-nonzero patterns. Zbl 1352.15035 Berliner, Adam H.; Olesky, D. D.; van den Driessche, P. 8 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 A mathematical model of syphilis transmission in an MSM population. Zbl 1358.92096 Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P. 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 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 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. 3 2016 Disease invasion risk in a growing population. Zbl 1345.92159 Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling 3 2016 Social contact processes and the partner model. Zbl 1345.60115 Foxall, Eric; Edwards, Roderick; van den Driessche, P. 2 2016 Modelling and control of cholera on networks with a common water source. Zbl 1448.92340 Shuai, Zhisheng; van den Driessche, P. 16 2015 Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088 Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P. 15 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 Model for disease dynamics of a waterborne pathogen on a random network. Zbl 1350.92052 Li, Meili; Ma, Junling; van den Driessche, P. 10 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. 10 2015 Models of Bovine Babesiosis including juvenile cattle. Zbl 1332.92074 Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P. 7 2015 The coexistence or replacement of two subtypes of influenza. Zbl 1364.92038 Asaduzzaman, Sarder Mohammed; Ma, Junling; van den Driessche, P. 3 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. 12 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. 141 2013 Dynamics of an age-of-infection cholera model. Zbl 1273.92050 Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 66 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 66 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. 62 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. 40 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. 32 2013 Singular dynamics in gene network models. Zbl 1285.34048 Machina, A.; Edwards, R.; van den Driessche, P. 20 2013 Effective degree household network disease model. Zbl 1256.92033 Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 14 2013 Refined inertias of tree sign-patterns. Zbl 1282.05113 Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline 14 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. 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 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. 4 2013 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 48 2012 Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041 Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline 39 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. 18 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. 13 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. 3 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. 74 2011 Global dynamics of cholera models with differential infectivity. Zbl 1244.92040 Shuai, Zhisheng; van den Driessche, P. 74 2011 Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147 Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P. 10 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 2 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 96 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 22 2010 Max-algebra and pairwise comparison matrices. II. Zbl 1191.15019 Elsner, L.; van den Driessche, P. 19 2010 Refined inertially and spectrally arbitrary zero-nonzero patterns. Zbl 1207.15034 Deaett, Louis; Olesky, Dale D.; van den Driessche, Pauline 11 2010 Graphical description of group inverses of certain bipartite matrices. Zbl 1184.15004 Catral, M.; Olesky, D. D.; van den Driessche, P. 11 2010 A multigroup model for a heterosexually transmitted disease. Zbl 1188.92032 Edwards, R.; Kim, Sehjeong; van den Driessche, Pauline 8 2010 Impact of group mixing on disease dynamics. Zbl 1200.92027 van den Driessche, P.; Wang, Lin; Zou, Xingfu 5 2010 Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009 Catral, M.; Olesky, D. D.; van den Driessche, P. 20 2009 Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 20 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 Sign patterns that require or allow power-positivity. Zbl 1190.15032 Catral, Minerva; Hogben, Leslie; Olesky, Dale D.; van den Driessche, Pauline 4 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. 4 2009 Critical sets of inertias for matrix patterns. Zbl 1168.15004 Kim, In-Jae; Olesky, D. D.; van den Driessche, P. 4 2009 Mathematical epidemiology. Zbl 1159.92034 163 2008 The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032 Allen, Linda J. S.; van den Driessche, P. 93 2008 Further notes on the basic reproduction number. Zbl 1206.92038 van den Driessche, P.; Watmough, James 92 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 52 2008 The control of vector-borne disease epidemics. Zbl 1400.92488 Hosack, Geoffrey R.; Rossignol, Philippe A.; van den Driessche, P. 18 2008 Group inverses of matrices with path graphs. Zbl 1154.15004 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 16 2008 Oscillations in a patchy environment disease model. Zbl 1176.34098 Brauer, Fred; van den Driessche, P.; Wang, Lin 16 2008 Bounds for the Perron root using max eigenvalues. Zbl 1141.15017 Elsner, Ludwig; van den Driessche, P. 10 2008 Spatial structure: patch models. Zbl 1206.92037 van den Driessche, P. 6 2008 Deterministic compartmental models: Extensions of basic models. Zbl 1206.92036 van den Driessche, P. 5 2008 ...and 149 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,558 Authors 134 van den Driessche, Pauline 75 Jin, Zhen 70 Teng, Zhi-dong 69 Gumel, Abba B. 67 Wu, Jianhong 51 Li, Xuezhi 50 Ruan, Shigui 44 Olesky, D. Dale 44 Zhu, Huaiping 43 Wang, Jin 41 Wang, Jinliang 40 Cao, Jinde 40 Xiao, Yanni 39 Cui, Jingan 38 Khan, Muhammad Altaf 38 Zou, Xingfu 37 Huo, Hai-Feng 37 Qiu, Zhipeng 37 Xu, Rui 37 Zhao, Xiao-Qiang 36 Martcheva, Maia 36 Mushayabasa, Steady 36 Wang, Wendi 34 Kuniya, Toshikazu 33 Allen, Linda J. 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