Edit Profile (opens in new tab) Gumel, Abba B. Compute Distance To: Compute Author ID: gumel.abba-b Published as: Gumel, A. B.; Gumel, Abba B.; Gumel, Abba; Gumel, A. more...less Homepage: https://math.la.asu.edu/~gumel/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 131 Publications since 1995 4 Contributions as Editor Co-Authors: 91 Co-Authors with 126 Joint Publications 2,067 Co-Co-Authors all top 5 Co-Authors 9 single-authored 19 Sharomi, Oluwaseun Y. 13 Moghadas, Seyed M. 12 Podder, Chandra Nath 11 Safi, Mohammad A. 11 Twizell, E. H. 9 Elbasha, Elamin H. 9 Garba, Salisu M. 6 Arigu, M. A. 6 Iboi, Enahoro A. 6 Mickens, Ronald Elbert 5 Okuneye, Kamaldeen O. 4 Agusto, Folashade B. 4 Bowman, Christopher S. 4 Eikenberry, Steffen E. 4 Lubuma, Jean Mbaro-Saman 3 Corbett, B. D. 3 Hussaini, Nafiu 3 Lenhart, Suzanne M. 3 Malik, Tufail M. 3 Mohammed-Awel, Jemal 3 Niger, Ashrafi M. 3 Sahai, Beni M. 2 Abdelrazec, Ahmed 2 Alexander, Murray E. 2 Alsaleh, Aliya A. 2 Ang, Wei Tech 2 Forouzannia, Farinaz 2 McLeod, Robert G. 2 Melesse, Dessalegn Y. 2 Ngonghala, Calistus N. 2 Shivakumar, Pappur N. 2 Song, Baojun 2 Spiteri, Raymond J. 2 van den Driessche, Pauline 2 Velasco-Hernandez, Jorge X. 2 Watmough, James 2 Wu, Jianhong 2 Yu, Pei 1 Adewale, S. O. 1 Arino, Julien 1 Bakar, Mohd Rizam Abu 1 Barley, Kamal 1 Blayneh, Kbenesh W. 1 Brewster, John F. 1 Cao, Qingjie 1 Castillo-Chavez, Carlos 1 Clayton, Tim 1 Clemence, Dominic P. 1 Enahoro, Iboi 1 Esteva, Lourdes 1 Garba, Deen L. 1 Garba, M. L. 1 Garira, Winston S. 1 Gerberry, David J. 1 Gordon, Richard K. 1 Huijben, Silvie 1 Javame, Ali 1 Kroshko, Andrew 1 Kuang, Yang 1 Langford, William F. 1 Lupica, Antonella 1 M-S Lubuma, J. 1 Mahmud, Salaheddin 1 McCluskey, C. Connell 1 McCluskey, Connell C. 1 Milner, Fabio Augusto 1 Mukandavire, Zindoga 1 Ngwa, Gideon Akumah 1 Odoi, Agricola 1 Okuonghae, Daniel 1 Paaijmans, Krijn 1 Palumbo, Annunziata 1 Parham, Paul E. 1 Patidar, Kailash C. 1 Piyawong, W. 1 Portet, Stéphanie 1 Pugliese, Andrea 1 Reimer, Jody R. 1 Rubinstein, E. 1 Simpson, Lindsay 1 Slonowsky, Dean A. 1 Taghikhani, Rahim 1 Taylor, Jesse Earl 1 Tchuenche, Jean Michel 1 Teboh-Ewungkem, Miranda I. 1 Terefe, Yibeltal Adane 1 Vargas-De-León, Cruz 1 Winter, Matthias 1 Yuan, Yuan 1 Zhang, Xuewu 1 Zhu, Huaiping all top 5 Serials 13 Mathematical Biosciences 12 Applied Mathematics and Computation 11 Bulletin of Mathematical Biology 9 Mathematical Biosciences and Engineering 5 International Journal of Computer Mathematics 5 Journal of Biological Systems 5 Nonlinear Analysis. Real World Applications 5 Journal of Biological Dynamics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Biology 4 Mathematical Methods in the Applied Sciences 3 IMA Journal of Applied Mathematics 3 Journal of Sound and Vibration 3 Journal of the Nigerian Mathematical Society 3 The Canadian Applied Mathematics Quarterly 3 Parallel Algorithms and Applications 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Computational and Applied Mathematics 2 Mathematical and Computer Modelling 2 Journal of Mathematical Chemistry 2 Differential Equations and Dynamical Systems 2 Journal of Theoretical Medicine 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Contemporary Mathematics 1 Computers & Mathematics with Applications 1 Journal of the Australian Mathematical Society, Series B 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Southeast Asian Bulletin of Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematical Modelling 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Mathematical Population Studies 1 The ANZIAM Journal 1 Journal of Computational Methods in Sciences and Engineering 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Medicine and Biology 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 Computational & Mathematical Methods in Medicine all top 5 Fields 119 Biology and other natural sciences (92-XX) 66 Ordinary differential equations (34-XX) 45 Numerical analysis (65-XX) 36 Dynamical systems and ergodic theory (37-XX) 12 Partial differential equations (35-XX) 8 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 3 Statistics (62-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 1,979 times in 1,239 Documents Cited by ▼ Year ▼ Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu 134 2008 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 Curtailing smoking dynamics: a mathematical modeling approach. Zbl 1261.92023Sharomi, O.; Gumel, A. B. 74 2008 Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Zbl 1134.92026Sharomi, O.; Podder, C. N.; Gumel, A. B.; Elbasha, E. H.; Watmough, James 71 2007 Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim 70 2010 Causes of backward bifurcations in some epidemiological models. Zbl 1251.34065Gumel, A. B. 70 2012 A vaccination model for transmission dynamics of influenza. Zbl 1067.92051Alexander, M. E.; Bowman, C.; Moghadas, S. M.; Summers, R.; Gumel, A. B.; Sahai, B. M. 57 2004 Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Zbl 1140.92016Sharomi, Oluwaseun; Podder, Chandra N.; Gumel, Abba B.; Song, Baojun 54 2008 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060Elbasha, Elamin H.; Gumel, Abba B. 53 2006 An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039Gumel, A. B.; McCluskey, C. Connell; Watmough, James 49 2006 A second-order scheme for the “Brusselator” reaction-diffusion system. Zbl 1016.92049Twizell, E. H.; Gumel, A. B.; Cao, Q. 44 2000 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 A qualitative study of a vaccination model with non-linear incidence. Zbl 1018.92029Gumel, A. B.; Moghadas, S. M. 34 2003 Sensitivity and uncertainty analyses for an SARS model with time-varying inputs and outputs. Zbl 1092.92042McLeod, Robert G.; Brewster, John F.; Gumel, Abba B.; Slonowsky, Dean A. 32 2006 A positivity-preserving Mickens-type discretization of an epidemic model. Zbl 1033.92030Moghadas, S. M.; Alexander, M. E.; Corbett, B. D.; Gumel, A. B. 32 2003 Mathematical analysis of a model for HIV-malaria co-infection. Zbl 1167.92020Mukandavire, Zindoga; Gumel, Abba B.; Garira, Winston; Tchuenche, Jean Michel 32 2009 Global stability of a two-stage epidemic model with generalized non-linear incidence. Zbl 1005.92031Moghadas, S. M.; Gumel, A. B. 31 2002 Global dynamics of a two-strain avian influenza model. Zbl 1154.92032Gumel, A. B. 31 2009 Mathematical analysis of the role of repeated exposure on malaria transmission dynamics. Zbl 1181.34056Niger, Ashrafi M.; Gumel, Abba B. 30 2008 Analysis of a temperature- and rainfall-dependent model for malaria transmission dynamics. Zbl 1377.92097Okuneye, Kamaldeen; Gumel, Abba B. 30 2017 An unconditionally convergent finite-difference scheme for the \(SIR\) model. Zbl 1026.92041Piyawong, W.; Twizell, E. H.; Gumel, A. B. 26 2003 Mathematical analysis of an age-structured model for malaria transmission dynamics. Zbl 1282.92018Forouzannia, Farinaz; Gumel, Abba B. 24 2014 Re-infection-induced backward bifurcation in the transmission dynamics of chlamydia trachomatis. Zbl 1162.92024Sharomi, O.; Gumel, A. B. 24 2009 Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Zbl 1019.65067Chen, Z.; Gumel, A. B.; Mickens, R. E. 23 2003 Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics. Zbl 1184.92033Teboh-Ewungkem, Miranda I.; Podder, Chandra N.; Gumel, Abba B. 23 2010 A mathematical study of a model for childhood diseases with non-permanent immunity. Zbl 1017.92031Moghadas, S. M.; Gumel, A. B. 23 2003 A mathematical model for the dynamics of HIV-1 during the typical course of infection. Zbl 1042.92512Gumel, A. B.; Shivakumar, P. N.; Sahai, B. M. 22 2001 Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine. Zbl 1222.37102Safi, Mohammad A.; Gumel, Abba B. 22 2011 Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions. Zbl 0872.65084Twizell, E. H.; Gumel, A. B.; Arigu, M. A. 22 1996 Qualitative study of transmission dynamics of drug-resistant malaria. Zbl 1185.34061Esteva, Lourdes; Gumel, Abba B.; De León, Cruz Vargas 20 2009 Construction and analysis of a non-standard finite difference scheme for the Burgers-Fisher equation. Zbl 1237.65095Mickens, R. E.; Gumel, Abba B. 20 2002 Mathematical modeling of climate change and malaria transmission dynamics: a historical review. Zbl 1400.92476Eikenberry, Steffen E.; Gumel, Abba B. 20 2018 Qualitative assessment of the role of temperature variations on malaria transmission dynamics. Zbl 1343.92455Agusto, F. B.; Gumel, A. B.; Parham, P. E. 20 2015 Dynamically-consistent non-standard finite difference method for an epidemic model. Zbl 1211.65102Garba, S. M.; Gumel, A. B.; Lubuma, J. M.-S. 20 2011 Mathematical assessment of the role of temperature and rainfall on mosquito population dynamics. Zbl 1383.92061Abdelrazec, Ahmed; Gumel, Abba B. 19 2017 Analyzing the dynamics of an SIRS vaccination model with waning natural and vaccine-induced immunity. Zbl 1225.37104Elbasha, E. H.; Podder, C. N.; Gumel, A. B. 18 2011 Global asymptotic properties of an SEIRS model with multiple infectious stages. Zbl 1184.92043Melesse, Dessalegn Y.; Gumel, Abba B. 17 2010 Global asymptotic dynamics of a model for quarantine and isolation. Zbl 1193.92075Safi, Mohammad A.; Gumel, Abba B. 17 2010 The impact of an imperfect vaccine and Pap cytology screening on the transmission of human papillomavirus and occurrence of associated cervical dysplasia and cancer. Zbl 1273.92056Malik, Tufail; Reimer, Jody; Gumel, Abba; Elbasha, Elamin H.; Mahmud, Salaheddin 17 2013 The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay. Zbl 1208.34127Safi, Mohammad A.; Gumel, Abba B. 17 2011 Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033Sharomi, O.; Gumel, A. B. 16 2008 Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector. Zbl 1203.92041Ngwa, Gideon A.; Niger, Ashrafi M.; Gumel, Abba B. 16 2010 Qualitative assessment of the role of public health education program on HIV transmission dynamics. Zbl 1223.92055Hussaini, N.; Winter, M.; Gumel, A. B. 15 2011 Modelling the transmission dynamics and control of the novel 2009 swine influenza (H1N1) pandemic. Zbl 1226.92050Sharomi, O.; Podder, C. N.; Gumel, A. B.; Mahmud, S. M.; Rubinstein, E. 14 2011 Dynamics of a model with quarantine-adjusted incidence and quarantine of susceptible individuals. Zbl 1259.34037Safi, Mohammad A.; Gumel, Abba B. 14 2013 Qualitative study of a quarantine/isolation model with multiple disease stages. Zbl 1228.92068Safi, Mohammad A.; Gumel, Abba B. 13 2011 Effect of cross-immunity on the transmission dynamics of two strains of dengue. Zbl 1198.92033Garba, S. M.; Gumel, A. B. 13 2010 Qualitative dynamics of a vaccination model for HSV-2. Zbl 1193.37136Podder, Chandra N.; Gumel, Abba B. 12 2010 Numerical study of a non-standard finite-difference scheme for the van der Pol equation. Zbl 1237.65084Mickens, R. E.; Gumel, A. B. 12 2002 Could condom stop the AIDS epidemic? Zbl 1079.92049Moghadas, Seyed M.; Gumel, Abba B.; McLeod, Robert; Gordon, Richard 12 2003 Could masks curtail the post-lockdown resurgence of COVID-19 in the US? Zbl 1453.92193Ngonghala, Calistus N.; Iboi, Enahoro A.; Gumel, Abba B. 12 2020 Effect of a preventive vaccine on the dynamics of HIV transmission. Zbl 1051.92038Gumel, A. B.; Moghadas, S. M.; Mickens, R. E. 11 2004 Existence of multiple-stable equilibria for a multi-drug-resistant model of mycobacterium tuberculosis. Zbl 1158.92026Gumel, Abba B.; Song, Baojun 11 2008 Qualitative analysis of an age-structured SEIR epidemic model with treatment. Zbl 1298.92105Safi, Mohammad A.; Gumel, Abba B.; Elbasha, Elamin H. 11 2013 On the numerical solution of the diffusion equation subject to the specification of mass. Zbl 0962.65078Gumel, A. B. 11 1999 Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass. Zbl 0924.65085Gumel, A. B.; Ang, W. T.; Twizell, E. H. 11 1997 Immune response and imperfect vaccine in malaria dynamics. Zbl 1215.92034Niger, Ashrafi M.; Gumel, Abba B. 11 2011 Mathematical analysis of a model for AVL-HIV co-endemicity. Zbl 1364.92046Hussaini, N.; M-S Lubuma, J.; Barley, K.; Gumel, A. B. 10 2016 Bifurcation and stability analyses for a coupled Brusselator model. Zbl 1237.80021Yu, P.; Gumel, A. B. 10 2001 Analysis of risk-structured vaccination model for the dynamics of oncogenic and warts-causing HPV types. Zbl 1300.92049Alsaleh, Aliya A.; Gumel, Abba B. 10 2014 Qualitative dynamics of lowly- and highly-pathogenic avian influenza strains. Zbl 1281.92037Agusto, F. B.; Gumel, A. B. 10 2013 Dynamical and numerical analyses of a generalized food-chain model. Zbl 1016.92043Moghadas, S. M.; Gumel, A. B. 10 2003 Asymptotically consistent nonstandard finite-difference methods for solving mathematical models arising in population biology. Zbl 1086.65080Gumel, A. B.; Patidar, K. C.; Spiteri, R. J. 10 2005 Theoretical assessment of avian influenza vaccine. Zbl 1178.92040Agusto, Folashade B.; Gumel, Abba B. 9 2010 Mathematical analysis of a TB transmission model with DOTS. Zbl 1195.92047Adewale, S. O.; Podder, C. N.; Gumel, A. B. 8 2009 Qualitative analysis of an age- and sex-structured vaccination model for human papillomavirus. Zbl 1277.92022Malik, Tufail; Gumel, Abba; Elbasha, Elamin H. 8 2013 A competitive numerical method for a chemotherapy model of two HIV subtypes. Zbl 1016.92015Gumel, A. B. 7 2002 Dynamics analysis of a vaccination model for HPV transmission. Zbl 1302.92121Alsaleh, Aliya A.; Gumel, Abba B. 7 2014 Mathematical analysis of a model for the transmission dynamics of bovine tuberculosis. Zbl 1223.92032Agusto, Folashade B.; Lenhart, Suzanne; Gumel, Abba B.; Odoi, Agricola 7 2011 Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza. Zbl 1263.92026Garba, S. M.; Safi, M. A.; Gumel, A. B. 7 2013 Mathematical assessment of the role of Dengvaxia vaccine on the transmission dynamics of dengue serotypes. Zbl 1409.92238Iboi, Enahoro A.; Gumel, Abba B. 7 2018 Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B. 7 2019 Subthreshold domain of bistable equilibria for a model of HIV epidemiology. Zbl 1031.92023Corbett, B. D.; Moghadas, S. M.; Gumel, A. B. 7 2003 Dynamical analysis of a sex-structured Chlamydia trachomatis transmission model with time delay. Zbl 1225.34095Sharomi, O.; Gumel, A. B. 7 2011 A new mathematical model for assessing therapeutic strategies for HIV infection. Zbl 1054.92031Gumel, A. B.; Zhang, Xuewu; Shivakumar, P. N.; Garba, M. L.; Sahai, B. M. 6 2002 Bifurcation and stability analyses of a 13-D SEIC model using normal form reduction and numerical simulation. Zbl 1030.37059Gumel, A. B.; Moghadas, S. M.; Yuan, Yuan; Yu, Pei 6 2003 Mathematical analysis of a weather-driven model for the population ecology of mosquitoes. Zbl 1375.92055Okuneye, Kamaldeen; Abdelrazec, Ahmed; Gumel, Abba B. 6 2018 Mathematical recipe for HIV elimination in Nigeria. Zbl 1251.34072Garba, Salisu M.; Gumel, A. B. 5 2010 Mathematical analysis of a model for assessing the impact of antiretroviral therapy, voluntary testing and condom use in curtailing the spread of HIV. Zbl 1256.34035Podder, C. N.; Sharomi, O.; Gumel, A. B. 5 2011 Mathematics of a sex-structured model for syphilis transmission dynamics. Zbl 1406.34041Gumel, Abba B.; Lubuma, Jean M.-S.; Sharomi, Oluwaseun; Terefe, Yibeltal Adane 5 2018 Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation. Zbl 1338.65177Garba, S. M.; Gumel, A. B.; Hassan, A. S.; Lubuma, J. M.-S. 5 2015 Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics. Zbl 1425.92192Mohammed-Awel, Jemal; Gumel, Abba B. 5 2019 Analysis of a model for transmission dynamics of TB. Zbl 1060.92043Moghadas, S. M.; Gumel, A. B. 5 2002 An epidemic model for the transmission dynamics of HIV and another pathogen. Zbl 1037.92035Moghadas, S. M.; Gumel, A. B. 5 2003 Transmission dynamics of a two-sex model for herpes simplex virus type 2. Zbl 1209.92040Podder, Chandra N.; Gumel, Abba B. 5 2009 To cut or not to cut: a modeling approach for assessing the role of male circumcision in HIV control. Zbl 1245.93104Podder, C. N.; Sharomi, O.; Gumel, A. B.; Moses, S. 5 2007 Dynamics analysis of a multi-strain cholera model with an imperfect vaccine. Zbl 1272.92037Safi, Mohammad A.; Melesse, Dessalegn Y.; Gumel, Abba B. 5 2013 HIV control in vivo: dynamical analysis. Zbl 1121.92300Gumel, A. B.; Moghadas, S. M. 4 2004 Dynamics of an age-structured two-strain model for malaria transmission. Zbl 1328.92074Forouzannia, Farinaz; Gumel, A. 4 2015 Differential characteristics of primary infection and re-infection can cause backward bifurcation in HCV transmission dynamics. Zbl 1371.92125Nazari, F.; Gumel, A. B.; Elbasha, E. H. 4 2015 Dynamics analysis of a quarantine model in two patches. Zbl 1370.92168Safi, Mohammad A.; Gumel, Abba B. 4 2015 The “unholy” chikungunya-dengue-Zika trinity: a theoretical analysis. Zbl 1397.92668Okuneye, Kamaldeen O.; Velasco-Hernandez, Jorge X.; Gumel, Abba B. 4 2017 Mathematical modeling and analysis of COVID-19 pandemic in Nigeria. Zbl 1471.92317Iboi, Enahoro A.; Sharomi, Oluwaseun; Ngonghala, Calistus N.; Gumel, Abba B. 4 2020 Mathematical studies on human disease dynamics. Emerging paradigms and challenges. AMS-IMS-SIAM joint summer research conference on modeling the dynamics of human diseases: Emerging paradigms and challenges, Snowbird, Utah, USA, July 17–21, 2005. Zbl 1103.92305 3 2006 Dynamics of a two-strain vaccination model for polio. Zbl 1330.34077Okuonghae, D.; Gumel, A. B.; Safi, M. A. 3 2015 Dynamics of Mycobacterium and bovine tuberculosis in a human-buffalo population. Zbl 1307.92344Hassan, A. S.; Garba, S. M.; Gumel, A. B.; Lubuma, J. M.-S. 3 2014 A boundary integral method for the three-dimensional heat equation subject to specification of energy. Zbl 0990.65114Ang, W. T.; Gumel, A. B. 3 2001 Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics. Zbl 1411.92289Sharomi, Oluwaseun Y.; Safi, Mohammad A.; Gumel, Abba B.; Gerberry, David J. 3 2017 Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics. Zbl 1411.92290Simpson, Lindsay; Gumel, Abba B. 3 2017 A non-standard finite-difference scheme for a model of HIV transmission and control. Zbl 1036.65057Gumel, A. B.; Mickens, R. E.; Corbett, B. D. 3 2003 Vaccination and herd immunity thresholds in heterogeneous populations. Zbl 1480.92125Elbasha, Elamin H.; Gumel, Abba B. 2 2021 Mathematical assessment of the impact of cohort vaccination on pneumococcal carriage and serotype replacement. Zbl 1484.92059Malik, Tufail M.; Mohammed-Awel, Jemal; Gumel, Abba B.; Elbasha, Elamin H. 1 2021 Could masks curtail the post-lockdown resurgence of COVID-19 in the US? Zbl 1453.92193Ngonghala, Calistus N.; Iboi, Enahoro A.; Gumel, Abba B. 12 2020 Mathematical modeling and analysis of COVID-19 pandemic in Nigeria. Zbl 1471.92317Iboi, Enahoro A.; Sharomi, Oluwaseun; Ngonghala, Calistus N.; Gumel, Abba B. 4 2020 Insecticide resistance and malaria control: a genetics-epidemiology modeling approach. Zbl 1448.92323Mohammed-Awel, Jemal; Iboi, Enahoro A.; Gumel, Abba B. 2 2020 Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach. Zbl 1447.92218Enahoro, Iboi; Eikenberry, Steffen; Gumel, Abba B.; Huijben, Silvie; Paaijmans, Krijn 2 2020 Dynamics of a two-sex model for the population ecology of dengue mosquitoes in the presence of Wolbachia. Zbl 1453.92265Taghikhani, Rahim; Sharomi, Oluwaseun; Gumel, Abba B. 2 2020 Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B. 7 2019 Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics. Zbl 1425.92192Mohammed-Awel, Jemal; Gumel, Abba B. 5 2019 Mathematics of malaria and climate change. Zbl 1436.92013Eikenberry, Steffen E.; Gumel, Abba B. 2 2019 Mathematical modeling of climate change and malaria transmission dynamics: a historical review. Zbl 1400.92476Eikenberry, Steffen E.; Gumel, Abba B. 20 2018 Mathematical assessment of the role of Dengvaxia vaccine on the transmission dynamics of dengue serotypes. Zbl 1409.92238Iboi, Enahoro A.; Gumel, Abba B. 7 2018 Mathematical analysis of a weather-driven model for the population ecology of mosquitoes. Zbl 1375.92055Okuneye, Kamaldeen; Abdelrazec, Ahmed; Gumel, Abba B. 6 2018 Mathematics of a sex-structured model for syphilis transmission dynamics. Zbl 1406.34041Gumel, Abba B.; Lubuma, Jean M.-S.; Sharomi, Oluwaseun; Terefe, Yibeltal Adane 5 2018 Comments on “A mathematical study to control visceral leishmaniasis: an application to South Sudan”. Zbl 1390.92138Iboi, E.; Okuneye, K.; Sharomi, O.; Gumel, A. B. 3 2018 Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: a theoretical analysis. Zbl 1375.92069Pugliese, Andrea; Gumel, Abba B.; Milner, Fabio A.; Velasco-Hernandez, Jorge X. 1 2018 Analysis of a temperature- and rainfall-dependent model for malaria transmission dynamics. Zbl 1377.92097Okuneye, Kamaldeen; Gumel, Abba B. 30 2017 Mathematical assessment of the role of temperature and rainfall on mosquito population dynamics. Zbl 1383.92061Abdelrazec, Ahmed; Gumel, Abba B. 19 2017 The “unholy” chikungunya-dengue-Zika trinity: a theoretical analysis. Zbl 1397.92668Okuneye, Kamaldeen O.; Velasco-Hernandez, Jorge X.; Gumel, Abba B. 4 2017 Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics. Zbl 1411.92289Sharomi, Oluwaseun Y.; Safi, Mohammad A.; Gumel, Abba B.; Gerberry, David J. 3 2017 Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics. Zbl 1411.92290Simpson, Lindsay; Gumel, Abba B. 3 2017 Mathematical analysis of a model for AVL-HIV co-endemicity. Zbl 1364.92046Hussaini, N.; M-S Lubuma, J.; Barley, K.; Gumel, A. B. 10 2016 Qualitative assessment of the role of temperature variations on malaria transmission dynamics. Zbl 1343.92455Agusto, F. B.; Gumel, A. B.; Parham, P. E. 20 2015 Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation. Zbl 1338.65177Garba, S. M.; Gumel, A. B.; Hassan, A. S.; Lubuma, J. M.-S. 5 2015 Dynamics of an age-structured two-strain model for malaria transmission. Zbl 1328.92074Forouzannia, Farinaz; Gumel, A. 4 2015 Differential characteristics of primary infection and re-infection can cause backward bifurcation in HCV transmission dynamics. Zbl 1371.92125Nazari, F.; Gumel, A. B.; Elbasha, E. H. 4 2015 Dynamics analysis of a quarantine model in two patches. Zbl 1370.92168Safi, Mohammad A.; Gumel, Abba B. 4 2015 Dynamics of a two-strain vaccination model for polio. Zbl 1330.34077Okuonghae, D.; Gumel, A. B.; Safi, M. A. 3 2015 Mathematical analysis of an age-structured model for malaria transmission dynamics. Zbl 1282.92018Forouzannia, Farinaz; Gumel, Abba B. 24 2014 Analysis of risk-structured vaccination model for the dynamics of oncogenic and warts-causing HPV types. Zbl 1300.92049Alsaleh, Aliya A.; Gumel, Abba B. 10 2014 Dynamics analysis of a vaccination model for HPV transmission. Zbl 1302.92121Alsaleh, Aliya A.; Gumel, Abba B. 7 2014 Dynamics of Mycobacterium and bovine tuberculosis in a human-buffalo population. Zbl 1307.92344Hassan, A. S.; Garba, S. M.; Gumel, A. B.; Lubuma, J. M.-S. 3 2014 Mathematics of continuous and discrete dynamical systems. AMS special session in honor of Ronald Mickens’s 70th birthday on nonstandard finite-difference discretizations and nonlinear oscillations, San Diego, CA, USA, January 9–10, 2013. Proceedings. Zbl 1294.34001 2 2014 Mathematical analysis of an age-structured vaccination model for measles. Zbl 1334.92230Garba, S. M.; Gumel, A. B.; Hussaini, N. 1 2014 The impact of an imperfect vaccine and Pap cytology screening on the transmission of human papillomavirus and occurrence of associated cervical dysplasia and cancer. Zbl 1273.92056Malik, Tufail; Reimer, Jody; Gumel, Abba; Elbasha, Elamin H.; Mahmud, Salaheddin 17 2013 Dynamics of a model with quarantine-adjusted incidence and quarantine of susceptible individuals. Zbl 1259.34037Safi, Mohammad A.; Gumel, Abba B. 14 2013 Qualitative analysis of an age-structured SEIR epidemic model with treatment. Zbl 1298.92105Safi, Mohammad A.; Gumel, Abba B.; Elbasha, Elamin H. 11 2013 Qualitative dynamics of lowly- and highly-pathogenic avian influenza strains. Zbl 1281.92037Agusto, F. B.; Gumel, A. B. 10 2013 Qualitative analysis of an age- and sex-structured vaccination model for human papillomavirus. Zbl 1277.92022Malik, Tufail; Gumel, Abba; Elbasha, Elamin H. 8 2013 Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza. Zbl 1263.92026Garba, S. M.; Safi, M. A.; Gumel, A. B. 7 2013 Dynamics analysis of a multi-strain cholera model with an imperfect vaccine. Zbl 1272.92037Safi, Mohammad A.; Melesse, Dessalegn Y.; Gumel, Abba B. 5 2013 Causes of backward bifurcations in some epidemiological models. Zbl 1251.34065Gumel, A. B. 70 2012 Mathematical study of in-host dynamics of Chlamydia trachomatis. Zbl 1242.92043Sharomi, O.; Gumel, A. B. 1 2012 Risk-induced backward bifurcationin HSV-2 transmission dynamics. Zbl 1263.93021Podder, C. N.; Gumel, A. B. 1 2012 Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine. Zbl 1222.37102Safi, Mohammad A.; Gumel, Abba B. 22 2011 Dynamically-consistent non-standard finite difference method for an epidemic model. Zbl 1211.65102Garba, S. M.; Gumel, A. B.; Lubuma, J. M.-S. 20 2011 Analyzing the dynamics of an SIRS vaccination model with waning natural and vaccine-induced immunity. Zbl 1225.37104Elbasha, E. H.; Podder, C. N.; Gumel, A. B. 18 2011 The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay. Zbl 1208.34127Safi, Mohammad A.; Gumel, Abba B. 17 2011 Qualitative assessment of the role of public health education program on HIV transmission dynamics. Zbl 1223.92055Hussaini, N.; Winter, M.; Gumel, A. B. 15 2011 Modelling the transmission dynamics and control of the novel 2009 swine influenza (H1N1) pandemic. Zbl 1226.92050Sharomi, O.; Podder, C. N.; Gumel, A. B.; Mahmud, S. M.; Rubinstein, E. 14 2011 Qualitative study of a quarantine/isolation model with multiple disease stages. Zbl 1228.92068Safi, Mohammad A.; Gumel, Abba B. 13 2011 Immune response and imperfect vaccine in malaria dynamics. Zbl 1215.92034Niger, Ashrafi M.; Gumel, Abba B. 11 2011 Mathematical analysis of a model for the transmission dynamics of bovine tuberculosis. Zbl 1223.92032Agusto, Folashade B.; Lenhart, Suzanne; Gumel, Abba B.; Odoi, Agricola 7 2011 Dynamical analysis of a sex-structured Chlamydia trachomatis transmission model with time delay. Zbl 1225.34095Sharomi, O.; Gumel, A. B. 7 2011 Mathematical analysis of a model for assessing the impact of antiretroviral therapy, voluntary testing and condom use in curtailing the spread of HIV. Zbl 1256.34035Podder, C. N.; Sharomi, O.; Gumel, A. B. 5 2011 Mathematical study of a risk-structured two-group model for chlamydia transmission dynamics. Zbl 1221.37192Sharomi, O.; Gumel, A. B. 2 2011 Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim 70 2010 Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics. Zbl 1184.92033Teboh-Ewungkem, Miranda I.; Podder, Chandra N.; Gumel, Abba B. 23 2010 Global asymptotic properties of an SEIRS model with multiple infectious stages. Zbl 1184.92043Melesse, Dessalegn Y.; Gumel, Abba B. 17 2010 Global asymptotic dynamics of a model for quarantine and isolation. Zbl 1193.92075Safi, Mohammad A.; Gumel, Abba B. 17 2010 Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector. Zbl 1203.92041Ngwa, Gideon A.; Niger, Ashrafi M.; Gumel, Abba B. 16 2010 Effect of cross-immunity on the transmission dynamics of two strains of dengue. Zbl 1198.92033Garba, S. M.; Gumel, A. B. 13 2010 Qualitative dynamics of a vaccination model for HSV-2. Zbl 1193.37136Podder, Chandra N.; Gumel, Abba B. 12 2010 Theoretical assessment of avian influenza vaccine. Zbl 1178.92040Agusto, Folashade B.; Gumel, Abba B. 9 2010 Mathematical recipe for HIV elimination in Nigeria. Zbl 1251.34072Garba, Salisu M.; Gumel, A. B. 5 2010 Modeling paradigms and analysis of disease transmission models. Selected papers based on the presentations at the U.S.-African advanced study institute on mathematical modeling of infectious desease in Africa, Muizenberg, South Africa, June 11–22, 2007 and the DIMACS workshop, Stellenbosch, South Africa, June 25–27, 2007. Zbl 1201.92038 1 2010 Mathematical analysis of HIV treatment model with variable viral load and infection stages. Zbl 1352.92093Sharomi, Oluwaseun; Gumel, Abba B. 1 2010 Mathematical analysis of a model for HIV-malaria co-infection. Zbl 1167.92020Mukandavire, Zindoga; Gumel, Abba B.; Garira, Winston; Tchuenche, Jean Michel 32 2009 Global dynamics of a two-strain avian influenza model. Zbl 1154.92032Gumel, A. B. 31 2009 Re-infection-induced backward bifurcation in the transmission dynamics of chlamydia trachomatis. Zbl 1162.92024Sharomi, O.; Gumel, A. B. 24 2009 Qualitative study of transmission dynamics of drug-resistant malaria. Zbl 1185.34061Esteva, Lourdes; Gumel, Abba B.; De León, Cruz Vargas 20 2009 Mathematical analysis of a TB transmission model with DOTS. Zbl 1195.92047Adewale, S. O.; Podder, C. N.; Gumel, A. B. 8 2009 Transmission dynamics of a two-sex model for herpes simplex virus type 2. Zbl 1209.92040Podder, Chandra N.; Gumel, Abba B. 5 2009 Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu 134 2008 Curtailing smoking dynamics: a mathematical modeling approach. Zbl 1261.92023Sharomi, O.; Gumel, A. B. 74 2008 Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Zbl 1140.92016Sharomi, Oluwaseun; Podder, Chandra N.; Gumel, Abba B.; Song, Baojun 54 2008 Mathematical analysis of the role of repeated exposure on malaria transmission dynamics. Zbl 1181.34056Niger, Ashrafi M.; Gumel, Abba B. 30 2008 Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033Sharomi, O.; Gumel, A. B. 16 2008 Existence of multiple-stable equilibria for a multi-drug-resistant model of mycobacterium tuberculosis. Zbl 1158.92026Gumel, Abba B.; Song, Baojun 11 2008 Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Zbl 1134.92026Sharomi, O.; Podder, C. N.; Gumel, A. B.; Elbasha, E. H.; Watmough, James 71 2007 To cut or not to cut: a modeling approach for assessing the role of male circumcision in HIV control. Zbl 1245.93104Podder, C. N.; Sharomi, O.; Gumel, A. B.; Moses, S. 5 2007 Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease. Zbl 1284.92098Arino, Julien; Bowman, Chris; Gumel, Abba; Portet, Stéphanie 1 2007 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060Elbasha, Elamin H.; Gumel, Abba B. 53 2006 An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039Gumel, A. B.; McCluskey, C. Connell; Watmough, James 49 2006 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 Sensitivity and uncertainty analyses for an SARS model with time-varying inputs and outputs. Zbl 1092.92042McLeod, Robert G.; Brewster, John F.; Gumel, Abba B.; Slonowsky, Dean A. 32 2006 Mathematical studies on human disease dynamics. Emerging paradigms and challenges. AMS-IMS-SIAM joint summer research conference on modeling the dynamics of human diseases: Emerging paradigms and challenges, Snowbird, Utah, USA, July 17–21, 2005. Zbl 1103.92305 3 2006 Optimal vaccination strategies for an influenza-like illness in a heterogeneous population. Zbl 1181.92056Bowman, Christopher; Gumel, Abba 1 2006 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 Asymptotically consistent nonstandard finite-difference methods for solving mathematical models arising in population biology. Zbl 1086.65080Gumel, A. B.; Patidar, K. C.; Spiteri, R. J. 10 2005 A vaccination model for transmission dynamics of influenza. Zbl 1067.92051Alexander, M. E.; Bowman, C.; Moghadas, S. M.; Summers, R.; Gumel, A. B.; Sahai, B. M. 57 2004 Effect of a preventive vaccine on the dynamics of HIV transmission. Zbl 1051.92038Gumel, A. B.; Moghadas, S. M.; Mickens, R. E. 11 2004 HIV control in vivo: dynamical analysis. Zbl 1121.92300Gumel, A. B.; Moghadas, S. M. 4 2004 A qualitative study of a vaccination model with non-linear incidence. Zbl 1018.92029Gumel, A. B.; Moghadas, S. M. 34 2003 A positivity-preserving Mickens-type discretization of an epidemic model. Zbl 1033.92030Moghadas, S. M.; Alexander, M. E.; Corbett, B. D.; Gumel, A. B. 32 2003 An unconditionally convergent finite-difference scheme for the \(SIR\) model. Zbl 1026.92041Piyawong, W.; Twizell, E. H.; Gumel, A. B. 26 2003 Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Zbl 1019.65067Chen, Z.; Gumel, A. B.; Mickens, R. E. 23 2003 A mathematical study of a model for childhood diseases with non-permanent immunity. Zbl 1017.92031Moghadas, S. M.; Gumel, A. B. 23 2003 Could condom stop the AIDS epidemic? Zbl 1079.92049Moghadas, Seyed M.; Gumel, Abba B.; McLeod, Robert; Gordon, Richard 12 2003 Dynamical and numerical analyses of a generalized food-chain model. Zbl 1016.92043Moghadas, S. M.; Gumel, A. B. 10 2003 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,954 Authors 63 Gumel, Abba B. 22 Li, Xuezhi 20 Martcheva, Maia 17 Dehghan Takht Fooladi, Mehdi 16 Nyabadza, Farai 16 Teboh-Ewungkem, Miranda I. 15 Cai, Liming 15 Lubuma, Jean Mbaro-Saman 15 Sharomi, Oluwaseun Y. 15 Tchuenche, Jean Michel 14 Buonomo, Bruno 14 Khan, Muhammad Altaf 14 Zaman, Gul 13 Agusto, Folashade B. 13 Mukandavire, Zindoga 13 Ngonghala, Calistus N. 13 Qiu, Zhipeng 13 Teng, Zhi-dong 13 Zhu, Huaiping 12 Okuonghae, Daniel 11 Ngwa, Gideon Akumah 11 Xiao, Yanni 10 Arenas, Abraham J. 10 Bhunu, Claver Pedzisai 10 Garira, Winston S. 10 Mohammed-Awel, Jemal 10 Safi, Mohammad A. 9 Bowong, Samuel 9 Chattopadhyay, Joydev 9 Ding, Xiaohua 9 Garba, Salisu M. 9 Huo, Hai-Feng 9 Islam, Saeed 9 Kumar, Abhishek 9 Moghadas, Seyed M. 9 Nilam, Murray E. Alexander 9 Ouifki, Rachid 9 Vargas-De-León, Cruz 9 Xu, Rui 8 Băleanu, Dumitru I. 8 González-Parra, Gilberto C. 8 Hove-Musekwa, Senelani Dorothy 8 Macías-Díaz, Jorge Eduardo 8 Patidar, Kailash C. 8 Ruan, Shigui 8 Smith?, Robert Joseph 8 Zhao, Xiao-Qiang 7 He, Daihai 7 Hoang, Manh Tuan 7 Hussaini, Nafiu 7 Imran, Mudassar 7 Kumar Roy, Priti 7 Lenhart, Suzanne M. 7 Lin, Zhigui 7 Luboobi, Livingstone Serwadda 7 Malik, Tufail M. 7 Mugisha, Joseph Y. T. 7 Musa, Salihu Sabiu 7 Podder, Chandra Nath 7 Rong, Libin 7 Song, Xinyu 7 Tewa, Jean-Jules 7 Wang, Jin 7 Yang, Hyun Mo 7 Zhang, Fengqin 7 Zhao, Shi 6 Ang, Whyeteong 6 Collins, Obiora Cornelius 6 Ding, Deqiong 6 Elbasha, Elamin H. 6 Feng, Zhilan 6 Gao, Daozhou 6 Ghosh, Mini 6 Jiang, Daqing 6 Jin, Zhen 6 Lashari, Abid Ali 6 Makinde, Oluwole Daniel 6 Mushayabasa, Steady 6 Naresh, Ram 6 Nie, Linfei 6 Sun, Guiquan 6 Tang, Sanyi 6 Tarboush, Abdelrazig K. 6 Wang, Xia 6 Wu, Jianhong 6 Xiang, Hong 6 Yang, Junyuan 6 Zeb, Anwar 6 Zhang, Xinan 6 Zhao, Ruijun 5 Chapwanya, Michael 5 Chen, Yuming 5 Colella, Phillip 5 Esteva, Lourdes 5 Guo, Youming 5 Gurski, Katharine F. 5 Iboi, Enahoro A. 5 Jiwari, Ram 5 Jung, Il Hyo 5 Khan, Yasir ...and 1,854 more Authors all top 5 Cited in 172 Serials 87 Applied Mathematics and Computation 62 Bulletin of Mathematical Biology 59 Mathematical Biosciences 51 International Journal of Biomathematics 49 Mathematical Biosciences and Engineering 45 Chaos, Solitons and Fractals 43 Journal of Theoretical Biology 37 Journal of Mathematical Biology 36 Advances in Difference Equations 35 Applied Mathematical Modelling 32 Journal of Difference Equations and Applications 32 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 3 Ricerche di Matematica 3 Applied Mathematics Letters 3 SIAM Journal on Scientific Computing 3 Engineering Analysis with Boundary Elements 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Nonlinear Science and Applications 3 ISRN Applied Mathematics 3 Journal of Applied Analysis and Computation 3 Biomath 3 Computational Methods for Differential Equations 2 International Journal of Control 2 Journal of Engineering Mathematics 2 Demonstratio Mathematica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Stochastic Analysis and Applications 2 Acta Applicandae Mathematicae 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of the Egyptian Mathematical Society 2 Filomat 2 Discrete and Continuous Dynamical Systems 2 Dynamical Systems 2 Applied Mathematics E-Notes 2 Nonlinear Analysis. Hybrid Systems 2 Advances in Mathematical Physics 2 International Journal for Numerical Methods in Biomedical Engineering 2 S\(\vec{\text{e}}\)MA Journal 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Applied Nonlinear Dynamics 2 Mathematics 2 Cogent Mathematics & Statistics 2 Results in Applied Mathematics 2 Mathematics in Applied Sciences and Engineering 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinearity 1 Physics Letters. A ...and 72 more Serials all top 5 Cited in 32 Fields 1,062 Biology and other natural sciences (92-XX) 552 Ordinary differential equations (34-XX) 226 Numerical analysis (65-XX) 185 Partial differential equations (35-XX) 185 Dynamical systems and ergodic theory (37-XX) 119 Calculus of variations and optimal control; optimization (49-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Systems theory; control (93-XX) 31 Probability theory and stochastic processes (60-XX) 22 Statistical mechanics, structure of matter (82-XX) 20 Real functions (26-XX) 17 Fluid mechanics (76-XX) 13 Difference and functional equations (39-XX) 10 Statistics (62-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of deformable solids (74-XX) 5 Combinatorics (05-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Geophysics (86-XX) 3 Operator theory (47-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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