Edit Profile (opens in new tab) van den Driessche, Pauline Compute Distance To: Compute 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: 274 Publications since 1972 7 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 190 Co-Authors with 273 Joint Publications 4,955 Co-Co-Authors all top 5 Co-Authors 8 single-authored 87 Olesky, D. Dale 20 Johnson, Charles Royal 18 Shuai, Zhisheng 14 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. 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. 4 Vander Meulen, Kevin N. 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 Zeeman, Mary Lou 2 Asaduzzaman, Sarder Mohammed 2 Barioli, Francesco 2 Blower, Sally M. 2 Campbell, Sue Ann 2 Castillo-Chavez, Carlos 2 Cavers, Michael S. 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 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. 1 Brouwer, C. 1 Carmona, Ángeles 1 Cheung, Waishun ...and 94 more Co-Authors all top 5 Serials 60 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 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 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 all top 5 Fields 152 Biology and other natural sciences (92-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 92 Ordinary differential equations (34-XX) 76 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 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 Statistics (62-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 241 Publications have been cited 7,934 times in 5,333 Documents Cited by ▼ Year ▼ Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Zbl 1015.92036van den Driessche, P.; Watmough, James 2,632 2002 Global attractivity in delayed Hopfield neural network models. Zbl 0917.34036van den Driessche, P.; Zou, Xingfu 186 1998 Some epidemiological models with nonlinear incidence. Zbl 0722.92015Hethcote, H. W.; van den Driessche, P. 159 1991 Global results for an epidemic model with vaccination that exhibits backward bifurcation. Zbl 1034.92025Arino, Julien; McCluskey, C. Connell; van den Driessche, P. 152 2003 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016Cooke, K.; van den Driessche, P.; Zou, X. 146 1999 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019Cooke, K. L.; van den Driessche, P. 141 1996 A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029van den Driessche, P.; Watmough, James 133 2000 Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021Busenberg, S.; van den Driessche, P. 124 1990 Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072Shuai, Zhisheng; van den Driessche, P. 118 2013 On zeroes of some transcendental equations. Zbl 0603.34069Cooke, Kenneth L.; van den Driessche, Pauline 116 1986 Backward bifurcation in epidemic control. Zbl 0904.92031Hadeler, K. P.; van den Driessche, P. 105 1997 A mathematical model for assessing control strategies against West Nile virus. Zbl 1334.92392Bowman, C.; Gumel, A. B.; van den Driessche, P.; Wu, J.; Zhu, H. 100 2005 Mathematical epidemiology. Zbl 1159.92034 96 2008 Models for transmission of disease with immigration of infectives. Zbl 0995.92041Brauer, Fred; van den Driessche, P. 92 2001 A multi-city epidemic model. Zbl 1028.92021Arino, Julien; van den Driessche, P. 92 2003 Zero forcing parameters and minimum rank problems. Zbl 1209.05139Barioli, 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 1147.92032Allen, Linda J. S.; van den Driessche, P. 84 2008 Frustration, stability, and delay-induced oscillations in a neural network model. Zbl 0840.92003Bélair, Jacques; Campbell, Sue Ann; van den Driessche, P. 78 1996 Nonlinear oscillations in epidemic models. Zbl 0469.92012Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. 74 1981 Further notes on the basic reproduction number. Zbl 1206.92038van den Driessche, P.; Watmough, James 71 2008 A disease transmission model in a nonconstant population. Zbl 0772.92015Derrick, W. R.; van den Driessche, P. 68 1993 Effective degree network disease models. Zbl 1232.92066Lindquist, Jennifer; Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 68 2011 Modeling diseases with latency and relapse. Zbl 1123.92018van den Driessche, P.; Wang, Lin; Zou, Xingfu 66 2007 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P. 63 2006 Global dynamics of cholera models with differential infectivity. Zbl 1244.92040Shuai, Zhisheng; van den Driessche, P. 63 2011 Three-dimensional competitive Lotka-Volterra systems with no periodic orbits. Zbl 0910.34050van den Driessche, P.; Zeeman, M. L. 59 1998 An SIS epidemic model with variable population size and a delay. Zbl 0836.92022Hethcote, Herbert W.; van den Driessche, P. 59 1995 Parameters related to tree-width, zero forcing, and maximum nullity of a graph. Zbl 1259.05112Barioli, 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 1273.92050Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 57 2013 A multi-species epidemic model with spatial dynamics. Zbl 1076.92045Arino, Julien; Davis, Jonathan R.; Hartley, David; Jordan, Richard; Miller, Joy M.; van den Driessche, P. 56 2005 A cholera model in a patchy environment with water and human movement. Zbl 1309.92073Eisenberg, Marisa C.; Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, P. 55 2013 Modeling relapse in infectious diseases. Zbl 1114.92047Van Den Driessche, P.; Zou, Xingfu 53 2007 Quarantine in a multi-species epidemic model with spatial dynamics. Zbl 1124.92042Arino, Julien; Jordan, Richard; van den Driessche, P. 50 2007 Delayed coupling between two neural network loops. Zbl 1072.92003Campbell, Sue Ann; Edwards, R.; van den Driessche, P. 49 2004 Spectrally arbitrary patterns. Zbl 0957.15012Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P. 49 2000 Two SIS epidemiologic models with delays. Zbl 0959.92025Hethcote, Herbert W.; van den Driessche, P. 49 2000 A final size relation for epidemic models. Zbl 1123.92030Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 47 2007 Global stability of SEIRS models in epidemiology. Zbl 0976.92020Li, Michael Y.; Muldowney, James S.; van den Driessche, P. 46 1999 An epidemiological model with a delay and a nonlinear incidence rate. Zbl 0714.92021Hethcote, H. W.; Lewis, M. A.; van den Driessche, P. 46 1989 A model predator-prey system with functional response. Zbl 0382.92007Kazarinoff, N. D.; Van den Driessche, P. 45 1978 Global analysis of two tuberculosis models. Zbl 1056.92052McCluskey, C. Connell; van den Driessche, P. 44 2004 When is a matrix sign stable? Zbl 0383.15005Jeffries, Clark; Klee, Victor; van den Driessche, Pauline 43 1977 Impact of travel between patches for spatial spread of disease. Zbl 1298.92100Hsieh, Ying-Hen; van den Driessche, P.; Wang, Lin 42 2007 A model for disease transmission in a patchy environment. Zbl 1088.92050Salmani, Mahin; van den Driessche, P. 42 2006 A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 41 2008 Disease spread in metapopulations. Zbl 1107.34042Arino, Julien; van den Driessche, P. 37 2006 Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047Allen, L. J. S.; van den Driessche, P. 36 2013 Minimal spectrally arbitrary sign patterns. Zbl 1082.15016Britz, T.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P. 35 2004 Mathematical study of a staged-progression HIV model with imperfect vaccine. Zbl 1296.92124Gumel, A. B.; McCluskey, Connell C.; van den Driessche, P. 35 2006 Matrices, digraphs, and determinants. Zbl 0701.05038Maybee, John S.; Olesky, D. D.; van den Driessche, P.; Wiener, G. 34 1989 The basic reproduction number in a multi-city compartmental epidemic model. Zbl 1057.92045Arino, Julien; van den Driessche, Pauline 32 2003 On the power method in max algebra. Zbl 0949.65032Elsner, Ludwig; van den Driessche, P. 31 1999 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 Periodicity and stability in epidemic models: a survey. Zbl 0477.92014Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. 30 1981 Max-algebra and pairwise comparison matrices. Zbl 1056.15009Elsner, L.; van den Driessche, P. 30 2004 Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P. 30 2013 Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline 30 2012 Stabilization role of inhibitory self-connections in a delayed neural network. Zbl 1007.34072van den Driessche, P.; Wu, Jianhong; Zou, Xingfu 29 2001 Stability analysis for models of diseases without immunity. Zbl 0475.92014Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. 28 1981 Stabilizing dispersal delays in predator-prey metapopulation models. Zbl 1038.92032Neubert, Michael G.; Klepac, Petra; van den Driessche, P. 27 2002 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 An epidemiological model for HIV/AIDS with proportional recruitment. Zbl 0793.92011Lin, Xiaodong; Hethcote, Herbert W.; van den Driessche, P. 26 1993 Hopf bifurcation and stability of periodic solutions of differential- difference and integro-differential equations. Zbl 0379.45021Kazarinoff, N. D.; Wan, Y.-H.; van den Driessche, P. 26 1978 A method for proving the non-existence of limit cycles. Zbl 0779.34026Busenberg, Stavros; van den Driessche, P. 25 1993 Waves of extinction from sterile insect release. Zbl 0778.92024Lewis, M. A.; Van den Driessche, P. 24 1993 Ray patterns of matrices and nonsingularity. Zbl 0887.15002McDonald, J. J.; Olesky, D. D.; Tsatsomeros, M. J.; van den Driessche, P. 24 1997 Qualitative stability of linear systems. Zbl 0625.05033Jeffries, Clark; Klee, Victor; van den Driessche, Pauline 24 1987 Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population. Zbl 1126.34337Derrick, W. R.; van den Driessche, P. 23 2003 Modifying the power method in max algebra. Zbl 0982.65042Elsner, Ludwig; van den Driessche, P. 23 2001 An epidemiology model that includes a leaky vaccine with a general waning function. Zbl 1040.92035Arino, Julien; Cooke, K. L.; van den Driessche, P.; Velasco-Hernández, J. 22 2004 Spectrally arbitrary star sign patterns. Zbl 1072.15013MacGillivray, G.; Tifenbach, R. M.; van den Driessche, P. 20 2005 The impact of maturation delay of mosquitoes on the transmission of West Nile virus. Zbl 1204.92057Fan, Guihong; Liu, Junli; van den Driessche, P.; Wu, Jianhong; Zhu, Huaiping 20 2010 A comparison of continuous and discrete-time West Nile virus models. Zbl 1334.92413Lewis, Mark A.; Rencławowicz, Joanna; van den Driessche, P.; Wonham, Marjorie 20 2006 Singular dynamics in gene network models. Zbl 1285.34048Machina, A.; Edwards, R.; van den Driessche, P. 20 2013 On matrices with all minors negative. Zbl 0962.15014Fallat, Shaun M.; van den Driessche, P. 18 2000 Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 18 2009 Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009Catral, M.; Olesky, D. D.; van den Driessche, P. 18 2009 Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata 18 2012 Max-algebra and pairwise comparison matrices. II. Zbl 1191.15019Elsner, L.; van den Driessche, P. 17 2010 Time delays in epidemic models. Modeling and numerical considerations. Zbl 1131.34055Arino, J.; van den Driessche, P. 17 2006 Sign patterns that require or allow particular refined inertias. Zbl 1277.15023Bodine, E.; Deaett, L.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P. 17 2012 Nested sequences of principal minors and potential stability. Zbl 0880.15025Johnson, Charles R.; Maybee, John S.; Olesky, D. D.; van den Driessche, P. 16 1997 Generating potentially nilpotent full sign patterns. Zbl 1181.15039Kim, 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 1018.15018Olesky, D. D.; Shader, Bryan; van den Driessche, P. 15 2002 On the spectra of striped sign patterns. Zbl 1023.15005McDonald, J. J.; Olesky, D. D.; Tsatsomeros, M. J.; van den Driessche, P. 15 2002 Pattern properties and spectral inequalities in max algebra. Zbl 0835.15007Bapat, R. B.; Stanford, David P.; van den Driessche, P. 15 1995 Oscillations in a patchy environment disease model. Zbl 1176.34098Brauer, Fred; van den Driessche, P.; Wang, Lin 15 2008 Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028Allen, Linda J. S.; van den Driessche, P. 15 2006 Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088Tien, Joseph H.; Shuai, Zhisheng; Eisenberg, Marisa C.; van den Driessche, P. 14 2015 Disease induced oscillations between two competing species. Zbl 1055.92058van 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 0348.65032Klee, Victor; van den Driessche, Pauline 13 1977 A modelling framework for gene regulatory networks including transcription and translation. Zbl 1335.92031Edwards, R.; Machina, Anna; McGregor, Geoffrey; van den Driessche, P. 13 2015 Refined inertias of tree sign-patterns. Zbl 1282.05113Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline 13 2013 The principal rank characteristic sequence of a real symmetric matrix. Zbl 1236.15015Brualdi, R. A.; Deaett, L.; Olesky, D. D.; van den Driessche, P. 13 2012 M\(_\vee\)-matrices: a generalization of M-matrices based on eventually nonnegative matrices. Zbl 1189.15040Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline 13 2009 Periodicity in piecewise-linear switching networks with delay. Zbl 1131.34050Edwards, R.; van den Driessche, P.; Wang, Lin 12 2007 On a two lag differential delay equation. Zbl 0513.92016Braddock, R. D.; van den Driessche, P. 12 1983 Group inverses of matrices with path graphs. Zbl 1154.15004Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 12 2008 Effective degree household network disease model. Zbl 1256.92033Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 12 2013 Impact of heterogeneity on the dynamics of an SEIR epidemic model. Zbl 1260.92076Shuai, Zhisheng; Van Den Driessche, P. 12 2012 Relations between classes of potentially stable sign patterns. Zbl 1448.15042Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline 1 2020 The sepr-sets of sign patterns. Zbl 1452.15018Hogben, 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 1447.92482van den Driessche, P.; Yakubu, Abdul-Aziz 1 2020 Stochastic model of bovine babesiosis with juvenile and adult cattle. Zbl 1437.92144Wang, Xueying; Saad-Roy, Chadi M.; van den Driessche, P. 1 2020 Habitat fragmentation promotes malaria persistence. Zbl 1431.92133Gao, Daozhou; van den Driessche, P.; Cosner, Chris 10 2019 A general theory for target reproduction numbers with applications to ecology and epidemiology. Zbl 1415.92153Lewis, Mark A.; Shuai, Zhisheng; van den Driessche, P. 10 2019 Disease extinction versus persistence in discrete-time epidemic models. Zbl 1437.92141van den Driessche, P.; Yakubu, Abdul-Aziz 7 2019 Demographic population cycles and \(\mathcal{R}_0\) in discrete-time epidemic models. Zbl 1447.92481van den Driessche, P.; Yakubu, Abdul-Aziz 2 2019 The effect of sexual transmission on Zika virus dynamics. Zbl 1404.92202Saad-Roy, C. M.; Ma, Junling; van den Driessche, P. 7 2018 Stability of control networks in autonomous homeostatic regulation of stem cell lineages. Zbl 1394.92050Komarova, Natalia L.; van den Driessche, P. 6 2018 Inertia sets allowed by matrix patterns. Zbl 1398.15035Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline 3 2018 Sign pattern matrices. Zbl 1407.15042van den Driessche, P. 3 2018 Host contact structure is important for the recurrence of influenza A. Zbl 1400.92498Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yuan, Sanling 2 2018 Sign patterns requiring a unique inertia. Zbl 1390.15105Lin, Jephian C.-H.; Olesky, D. D.; van den Driessche, P. 1 2018 A mathematical model of anthrax transmission in animal populations. Zbl 1368.92191Saad-Roy, C. M.; van den Driessche, P.; Yakubu, Abdul-Aziz 9 2017 Sets of refined inertias of zero-nonzero patterns. Zbl 1352.15035Berliner, Adam H.; Olesky, D. D.; van den Driessche, P. 7 2017 The enhanced principal rank characteristic sequence for Hermitian matrices. Zbl 1375.15057Butler, 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 1371.15032Olesky, D. D.; van den Driessche, P.; Vander Meulen, K. N. 2 2017 The enhanced principal rank characteristic sequence. Zbl 1334.15017Butler, 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 1358.92096Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P. 7 2016 Characterization of a family of generalized companion matrices. Zbl 1371.15019Garnett, 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 1337.92015Culos, G. J.; Olesky, D. D.; van den Driessche, P. 5 2016 The enhanced principal rank characteristic sequence for skew-symmetric matrices. Zbl 1334.15018Fallat, Shaun M.; Olesky, Dale D.; van den Driessche, Pauline 3 2016 Analysis of a model of gambiense sleeping sickness in humans and cattle. Zbl 1448.92326Ndondo, A. M.; Munganga, J. M. W.; Mwambakana, J. N.; Saad-Roy, C. M.; van den Driessche, P.; Walo, R. O. 2 2016 Disease invasion risk in a growing population. Zbl 1345.92159Yuan, Sanling; van den Driessche, P.; Willeboordse, Frederick H.; Shuai, Zhisheng; Ma, Junling 2 2016 Social contact processes and the partner model. Zbl 1345.60115Foxall, Eric; Edwards, Roderick; van den Driessche, P. 2 2016 Disease invasion on community networks with environmental pathogen movement. Zbl 1309.05088Tien, 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 1335.92031Edwards, 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 1312.92030Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P. 9 2015 Modelling and control of cholera on networks with a common water source. Zbl 1448.92340Shuai, Zhisheng; van den Driessche, P. 8 2015 Model for disease dynamics of a waterborne pathogen on a random network. Zbl 1350.92052Li, Meili; Ma, Junling; van den Driessche, P. 7 2015 Models of Bovine Babesiosis including juvenile cattle. Zbl 1332.92074Saad-Roy, C. M.; Shuai, Zhisheng; van den Driessche, P. 6 2015 The coexistence or replacement of two subtypes of influenza. Zbl 1364.92038Asaduzzaman, Sarder Mohammed; Ma, Junling; van den Driessche, P. 2 2015 A note on sign patterns of order 3 that require particular refined inertias. Zbl 1302.15040Garnett, C.; Olesky, D. D.; van den Driessche, P. 11 2014 The principal rank characteristic sequence over various fields. Zbl 1297.15002Barrett, 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 1302.15041Garnett, C.; Olesky, D. D.; Shader, B. L.; van den Driessche, P. 5 2014 Inverses and eigenvalues of diamond alternating sign matrices. Zbl 1310.15008Catral, Minerva; Lin, Minghua; Olesky, D. D.; van den Driessche, P. 4 2014 Walks and cycles on a digraph with application to population dynamics. Zbl 1290.05083Moon, J. W.; Shuai, Zhisheng; van den Driessche, P. 3 2014 Positive semidefinite \(3 \times 3\) block matrices. Zbl 1326.15027Lin, Minghua; Den Driessche, Pauline van 2 2014 Global stability of infectious disease models using Lyapunov functions. Zbl 1308.34072Shuai, Zhisheng; van den Driessche, P. 118 2013 Parameters related to tree-width, zero forcing, and maximum nullity of a graph. Zbl 1259.05112Barioli, 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 1273.92050Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 57 2013 A cholera model in a patchy environment with water and human movement. Zbl 1309.92073Eisenberg, Marisa C.; Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, P. 55 2013 Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047Allen, L. J. S.; van den Driessche, P. 36 2013 Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P. 30 2013 Singular dynamics in gene network models. Zbl 1285.34048Machina, A.; Edwards, R.; van den Driessche, P. 20 2013 Refined inertias of tree sign-patterns. Zbl 1282.05113Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline 13 2013 Effective degree household network disease model. Zbl 1256.92033Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 12 2013 Refined inertias of tree sign patterns of orders 2 and 3. Zbl 1275.15020Olesky, D. D.; Rempel, Michael F.; van den Driessche, P. 9 2013 Techniques for identifying inertially arbitrary patterns. Zbl 1283.15093Cavers, M. S.; Garnett, C.; Kim, I.-J.; Olesky, D. D.; van den Driessche, P.; Vander Meulen, K. N. 9 2013 Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions. Zbl 1301.92075Hernández-Cerón, Nancy; Feng, Zhilan; van den Driessche, P. 7 2013 Sensitive dependence on initial conditions in gene networks. Zbl 1331.37138Machina, A.; Edwards, R.; van den Driessche, P. 7 2013 The importance of contact network topology for the success of vaccination strategies. Zbl 1314.92164Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 3 2013 Cholera models with hyperinfectivity and temporary immunity. Zbl 1312.92041Shuai, Zhisheng; Tien, Joseph H.; van den Driessche, Pauline 30 2012 Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata 18 2012 Sign patterns that require or allow particular refined inertias. Zbl 1277.15023Bodine, E.; Deaett, L.; McDonald, J. J.; Olesky, D. D.; van den Driessche, P. 17 2012 The principal rank characteristic sequence of a real symmetric matrix. Zbl 1236.15015Brualdi, 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 1260.92076Shuai, Zhisheng; Van Den Driessche, P. 12 2012 Constructions for potentially stable sign patterns. Zbl 1245.15030Grundy, D. A.; Olesky, D. D.; van den Driessche, P. 7 2012 A contraction argument for two-dimensional spiking neuron models. Zbl 1243.37065Foxall, Eric; Edwards, Roderick; Ibrahim, Slim; van den Driessche, P. 3 2012 Sign patterns that allow strong eventual nonnegativity. Zbl 1250.15032Catral, M.; Erickson, C.; Hogben, L.; Olesky, D. D.; van den Driessche, P. 2 2012 Sign patterns with a nest of positive principal minors. Zbl 1244.15022Olesky, D. Dale; Tsatsomeros, Michael J.; van den Driessche, Pauline 1 2012 Effective degree network disease models. Zbl 1232.92066Lindquist, Jennifer; Ma, Junling; van den Driessche, P.; Willeboordse, Frederick H. 68 2011 Global dynamics of cholera models with differential infectivity. Zbl 1244.92040Shuai, Zhisheng; van den Driessche, P. 63 2011 Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P. 9 2011 Control design for sustained oscillation in a two-gene regulatory network. Zbl 1232.92048Edwards, Roderick; Kim, Sehjeong; van den Driessche, P. 3 2011 Pandemic influenza: modelling and public health perspectives. Zbl 1260.92046Arino, 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 1241.92068Shuai, Zhisheng; Van Den Driessche, P. 1 2011 Zero forcing parameters and minimum rank problems. Zbl 1209.05139Barioli, 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 1204.92057Fan, Guihong; Liu, Junli; van den Driessche, P.; Wu, Jianhong; Zhu, Huaiping 20 2010 Max-algebra and pairwise comparison matrices. II. Zbl 1191.15019Elsner, L.; van den Driessche, P. 17 2010 Refined inertially and spectrally arbitrary zero-nonzero patterns. Zbl 1207.15034Deaett, Louis; Olesky, Dale D.; van den Driessche, Pauline 10 2010 Graphical description of group inverses of certain bipartite matrices. Zbl 1184.15004Catral, M.; Olesky, D. D.; van den Driessche, P. 9 2010 A multigroup model for a heterosexually transmitted disease. Zbl 1188.92032Edwards, R.; Kim, Sehjeong; van den Driessche, Pauline 7 2010 Impact of group mixing on disease dynamics. Zbl 1200.92027van den Driessche, P.; Wang, Lin; Zou, Xingfu 5 2010 Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 18 2009 Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009Catral, M.; Olesky, D. D.; van den Driessche, P. 18 2009 Generating potentially nilpotent full sign patterns. Zbl 1181.15039Kim, 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 1189.15040Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline 13 2009 Sign patterns that allow eventual positivity. Zbl 1190.15031Berman, 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 1179.37075Lindquist, 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 1231.92059de-Camino-Beck, Tomás; Lewis, Mark A.; van den Driessche, P. 4 2009 Critical sets of inertias for matrix patterns. Zbl 1168.15004Kim, In-Jae; Olesky, D. D.; van den Driessche, P. 4 2009 Sign patterns that require or allow power-positivity. Zbl 1190.15032Catral, Minerva; Hogben, Leslie; Olesky, Dale D.; van den Driessche, Pauline 4 2009 Mathematical epidemiology. Zbl 1159.92034 96 2008 The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032Allen, Linda J. S.; van den Driessche, P. 84 2008 Further notes on the basic reproduction number. Zbl 1206.92038van den Driessche, P.; Watmough, James 71 2008 A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 41 2008 Oscillations in a patchy environment disease model. Zbl 1176.34098Brauer, Fred; van den Driessche, P.; Wang, Lin 15 2008 Group inverses of matrices with path graphs. Zbl 1154.15004Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 12 2008 The control of vector-borne disease epidemics. Zbl 1400.92488Hosack, Geoffrey R.; Rossignol, Philippe A.; van den Driessche, P. 11 2008 Bounds for the Perron root using max eigenvalues. Zbl 1141.15017Elsner, Ludwig; van den Driessche, P. 9 2008 Deterministic compartmental models: Extensions of basic models. Zbl 1206.92036van den Driessche, P. 5 2008 Spatial structure: patch models. Zbl 1206.92037van den Driessche, P. 3 2008 Case fatality proportion. Zbl 1281.92061Ma, Junling; van den Driessche, P. 3 2008 Primitive digraphs with smallest large exponent. Zbl 1138.05033MacGillivray, G.; Nasserasr, S.; Olesky, D. D.; van den Driessche, P. 2 2008 Modeling diseases with latency and relapse. Zbl 1123.92018van den Driessche, P.; Wang, Lin; Zou, Xingfu 66 2007 Modeling relapse in infectious diseases. Zbl 1114.92047Van Den Driessche, P.; Zou, Xingfu 53 2007 Quarantine in a multi-species epidemic model with spatial dynamics. Zbl 1124.92042Arino, Julien; Jordan, Richard; van den Driessche, P. 50 2007 A final size relation for epidemic models. Zbl 1123.92030Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 47 2007 ...and 141 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,629 Authors 131 van den Driessche, Pauline 67 Jin, Zhen 66 Gumel, Abba B. 63 Teng, Zhi-dong 56 Wu, Jianhong 46 Ruan, Shigui 45 Li, Xuezhi 42 Olesky, D. Dale 42 Zhu, Huaiping 39 Wang, Jin 39 Xiao, Yanni 37 Cui, Jingan 37 Huo, Hai-Feng 37 Qiu, Zhipeng 37 Wang, Wendi 37 Zou, Xingfu 36 Wang, Jinliang 35 Mushayabasa, Steady 35 Zhao, Xiao-Qiang 34 Xu, Rui 33 Khan, Muhammad Altaf 33 Martcheva, Maia 32 Allen, Linda J. 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