Abba Gumel | Academic Influence

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According to Wikipedia, Abba Gumel is a Professor & The Michael and Eugenia Brin Endowed E-Nnovate Chair in Mathematics at the Department of Mathematics, University of Maryland, College Park. His research, which spans three main areas of applied mathematics , is focused on the use of mathematical modeling and rigorous approaches, together with statistical analysis, to gain insight into the dynamics of real-life phenomena arising in the natural and engineering sciences. The main emphasis of Gumel's work is on the mathematical theory of epidemics – specifically, he uses mathematical theories and methodologies to gain insights into the qualitative behavior of nonlinear dynamical systems arising from the mathematical modelling of phenomena in the natural and engineering sciences, with emphasis on the transmission dynamics and control of emerging and re-emerging human infectious diseases of public health and socio-economic interest.

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Abba Gumel's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic (2020) (910)
Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus (2020) (395)
Modelling strategies for controlling SARS outbreaks (2004) (335)
Backward bifurcations in dengue transmission dynamics. (2008) (293)
A mathematical model for assessing control strategies against West Nile virus (2005) (283)
Climate, environmental and socio-economic change: weighing up the balance in vector-borne disease transmission (2015) (231)
Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. (2008) (187)
Role of incidence function in vaccine-induced backward bifurcation in some HIV models. (2007) (156)
Curtailing smoking dynamics: A mathematical modeling approach (2008) (156)
Backward Bifurcation and Optimal Control in Transmission Dynamics of West Nile Virus (2010) (153)
Mathematical analysis of a model for HIV-malaria co-infection. (2009) (149)
When Is Quarantine a Useful Control Strategy for Emerging Infectious Diseases? (2006) (144)
Causes of backward bifurcations in some epidemiological models (2012) (142)
A Vaccination Model for Transmission Dynamics of Influenza (2004) (137)
Will an imperfect vaccine curtail the COVID-19 pandemic in the U.S.? (2020) (131)
Assessing the role of basic control measures, antivirals and vaccine in curtailing pandemic influenza: scenarios for the US, UK and the Netherlands (2007) (116)
Theoretical Assessment of Public Health Impact of Imperfect Prophylactic HIV-1 Vaccines with Therapeutic Benefits (2006) (112)
An sveir model for assessing potential impact of an imperfect anti-sars vaccine. (2006) (107)
Mathematical analysis of the role of repeated exposure on malaria transmission dynamics (2008) (90)
A second-order scheme for the “Brusselator” reaction–diffusion system (1999) (89)
Could masks curtail the post-lockdown resurgence of COVID-19 in the US? (2020) (80)
A primer on using mathematics to understand COVID-19 dynamics: Modeling, analysis and simulations (2020) (79)
A qualitative study of a vaccination model with non-linear incidence (2003) (79)
A mathematical model for the dynamics of HIV-1 during the typical course of infection (2001) (78)
Using multiple data features improved the validity of osteoporosis case ascertainment from administrative databases. (2008) (77)
Influenza epidemiology—past, present, and future (2010) (75)
Mathematical Study of a Staged-Progression HIV Model with Imperfect Vaccine (2006) (70)
Global dynamics of a two-strain avian influenza model (2009) (69)
Qualitative study of transmission dynamics of drug-resistant malaria (2009) (68)
Sensitivity and uncertainty analyses for a sars model with time-varying inputs and outputs. (2006) (64)
Mathematical assessment of the effect of traditional beliefs and customs on the transmission dynamics of the 2014 Ebola outbreaks (2015) (62)
Mathematical modeling of climate change and malaria transmission dynamics: a historical review (2018) (62)
Global stability of a two-stage epidemic model with generalized non-linear incidence (2002) (61)
Analysis of a temperature- and rainfall-dependent model for malaria transmission dynamics. (2017) (61)
Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine (2011) (57)
A Positivity-preserving Mickens-type Discretization of an Epidemic Model (2003) (55)
Re-infection-induced backward bifurcation in the transmission dynamics of Chlamydia trachomatis (2009) (55)
Mathematical Modeling and Analysis of COVID-19 pandemic in Nigeria (2020) (55)
Second-order,L0-stable methods for the heat equation with time-dependent boundary conditions (1996) (55)
Modeling the impact of quarantine during an outbreak of Ebola virus disease (2019) (53)
“Google Flu Trends” and Emergency Department Triage Data Predicted the 2009 Pandemic H1N1 Waves in Manitoba (2011) (52)
Mathematical analysis of an age-structured model for malaria transmission dynamics. (2014) (47)
A mathematical study of a model for childhood diseases with non-permanent immunity (2003) (47)
An unconditionally convergent finite-difference scheme for the SIR model (2003) (47)
Could Condoms Stop the AIDS Epidemic (2003) (44)
Mathematical assessment of the role of temperature and rainfall on mosquito population dynamics (2017) (43)
Mathematical Study of the Role of Gametocytes and an Imperfect Vaccine on Malaria Transmission Dynamics (2010) (43)
Global asymptotic properties of an SEIRS model with multiple infectious stages (2010) (42)
Qualitative assessment of the role of temperature variations on malaria transmission dynamics (2015) (41)
Construction and analysis of a non-standard finite difference scheme for the Burgers-Fisher equation (2002) (41)
Analyzing the dynamics of an SIRS vaccination model with waning natural and vaccine-induced immunity (2011) (41)
Dynamically-consistent non-standard finite difference method for an epidemic model (2011) (41)
Protecting residential care facilities from pandemic influenza (2008) (40)
Global asymptotic dynamics of a model for quarantine and isolation (2010) (38)
Converging and emerging threats to health security (2017) (37)
Existence of multiple-stable equilibria for a multi-drug-resistant model of Mycobacterium tuberculosis. (2008) (36)
Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs (2008) (35)
Mathematical Approaches for Emerging and Re-emerging Infectious Diseases: An Introduction (2003) (34)
Modelling the Transmission Dynamics and Control of the Novel 2009 Swine Influenza (H1N1) Pandemic (2011) (32)
Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector (2010) (31)
Threshold dynamics of a non-autonomous SEIRS model with quarantine and isolation (2012) (31)
Effect of cross-immunity on the transmission dynamics of two strains of dengue (2010) (31)
Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass (1997) (31)
Emergency department and ‘Google flu trends’ data as syndromic surveillance indicators for seasonal influenza (2014) (30)
Qualitative dynamics of a vaccination model for HSV-2 (2010) (30)
Asymptotically consistent non-standard finite-difference methods for solving mathematical models arising in population biology (2005) (30)
On the numerical solution of the diffusion equation subject to the specification of mass (1999) (29)
The effect of incidence functions on the dynamics of a quarantine/isolation model with time delay (2010) (29)
Effect of a preventive vaccine on the dynamics of HIV transmission (2004) (29)
Qualitative assessment of the role of public health education program on HIV transmission dynamics. (2011) (29)
Mathematical modeling and analysis of COVID-19 pandemic in Nigeria. (2020) (29)
The impact of an imperfect vaccine and pap cytology screening on the transmission of human papillomavirus and occurrence of associated cervical dysplasia and cancer. (2013) (28)
THEORETICAL ASSESSMENT OF AVIAN INFLUENZA VACCINE (2009) (27)
To Cut or Not to Cut: A Modeling Approach for Assessing the Role of Male Circumcision in HIV Control (2007) (26)
Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza (2013) (25)
Numerical study of a non-standard finite-difference scheme for the Van der Pol equation (2002) (24)
A New Mathematical Model for Assessing Therapeutic Strategies for HIV Infection (2002) (23)
Toward Achieving a Vaccine-Derived Herd Immunity Threshold for COVID-19 in the U.S. (2020) (23)
Qualitative analysis of an age-structured SEIR epidemic model with treatment (2013) (22)
Weather-driven malaria transmission model with gonotrophic and sporogonic cycles (2019) (22)
Qualitative study of a quarantine/isolation model with multiple disease stages (2011) (22)
Dynamical and numerical analyses of a generalized food-chain model (2003) (21)
Mathematical analysis of a model for AVL-HIV co-endemicity. (2016) (21)
Mathematical assessment of the roles of vaccination and non-pharmaceutical interventions on COVID-19 dynamics: a multigroup modeling approach (2020) (21)
Will vaccine-derived protective immunity curtail COVID-19 variants in the US? (2021) (21)
Dynamics of a model with quarantine-adjusted incidence and quarantine of susceptible individuals (2012) (21)
BIFURCATION AND STABILITY ANALYSES FOR A COUPLED BRUSSELATOR MODEL (2001) (21)
Qualitative dynamics of lowly- and highly-pathogenic avian influenza strains. (2013) (21)
Dynamics of Mycobacterium and bovine tuberculosis in a Human-Buffalo Population (2014) (19)
Immune Response and Imperfect Vaccine in Malaria Dynamics (2011) (19)
Mathematical analysis of a model for the transmission dynamics of bovine tuberculosis (2011) (18)
Mathematical analysis of a weather-driven model for the population ecology of mosquitoes. (2017) (18)
SUBTHRESHOLD DOMAIN OF BISTABLE EQUILIBRIA FOR A MODEL OF HIV EPIDEMIOLOGY (2003) (18)
MATHEMATICAL ANALYSIS OF A TB TRANSMISSION MODEL WITH DOTS (17)
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, July 17-21, 2005, Snowbird, Utah (2006) (17)
Mathematical analysis of a model for zoonotic visceral leishmaniasis (2017) (16)
Dynamics Analysis of a Multi-strain Cholera Model with an Imperfect Vaccine (2013) (16)
Mathematical assessment of Canada's pandemic influenza preparedness plan. (2008) (16)
Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics (2017) (16)
Analysis of a model for transmission dynamics of TB (2002) (15)
Numerical and bifurcation analyses for a population model of HIV chemotherapy (2000) (15)
A second order L0 stable algorithm for evaluating European options (2006) (15)
MATHEMATICAL STUDY OF THE IMPACT OF QUARANTINE, ISOLATION AND VACCINATION IN CURTAILING AN EPIDEMIC (2007) (14)
Dynamics of an age-structured two-strain model for malaria transmission (2015) (14)
Mathematical assessment of the role of Dengvaxia vaccine on the transmission dynamics of dengue serotypes. (2018) (13)
Dynamical analysis of a sex-structured Chlamydia trachomatis transmission model with time delay (2011) (13)
THE “UNHOLY” CHIKUNGUNYA–DENGUE–ZIKA TRINITY: A THEORETICAL ANALYSIS (2017) (13)
A competitive numerical method for a chemotherapy model of two HIV subtypes (2002) (13)
Journal of Difference Equations and Applications: Preface (2003) (13)
Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics. (2019) (12)
Modeling Paradigms and Analysis of Disease Transmission Models (2010) (12)
Analysis of Risk-Structured Vaccination Model for the Dynamics of Oncogenic and Warts-Causing HPV Types (2014) (12)
Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges (Contemporary Mathematics) (2006) (12)
The evolutionary consequences of vaccination. (2008) (12)
Dynamics analysis of a quarantine model in two patches (2015) (11)
Mathematical Assessment of the Role of Early Latent Infections and Targeted Control Strategies on Syphilis Transmission Dynamics (2018) (11)
Mathematical assessment of the role of vector insecticide resistance and feeding/resting behavior on malaria transmission dynamics: Optimal control analysis (2018) (11)
Dynamics of a two-strain vaccination model for polio (2015) (11)
Mathematics of dengue transmission dynamics: Roles of vector vertical transmission and temperature fluctuations (2018) (11)
Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy (2001) (11)
A boundary integral method for the three-dimensional heat equation subject to specification of energy (2001) (10)
Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation (2015) (10)
TRANSMISSION DYNAMICS OF A TWO-SEX MODEL FOR HERPES SIMPLEX VIRUS TYPE 2 (10)
An epidemic model for the transmission dynamics of HIV and another pathogen (2003) (10)
Mathematical study of a risk-structured two-group model for Chlamydia transmission dynamics (2011) (9)
Qualitative analysis of an age- and sex-structured vaccination model for human papillomavirus (2013) (9)
HIV control in vivo: Dynamical analysis (2004) (9)
Dynamics of COVID-19 pandemic in India and Pakistan: A metapopulation modelling approach (2021) (9)
Flu Trends ” and Emergency Department Triage Data Predicted the 2009 Pandemic H 1 N 1 Waves in Manitoba (2011) (9)
Differential characteristics of primary infection and re-infection can cause backward bifurcation in HCV transmission dynamics. (2015) (8)
Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease (2007) (7)
Mathematical Analysis of a Model for Assessing the Impact of Antiretroviral Therapy, Voluntary Testing and Condom Use in Curtailing the Spread of HIV (2011) (7)
Mathematical study of in-host dynamics of Chlamydia trachomatis (2012) (7)
DYNAMICS ANALYSIS OF A VACCINATION MODEL FOR HPV TRANSMISSION (2014) (7)
Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach (2020) (7)
Optimal vaccination strategies for an influenza-like illness in a heterogeneous population (2006) (7)
Bifurcation and stability analyses of a 13-D SEIC model using normal form reduction and numerical simulation (2003) (6)
Assessing the impact of widespread respirator use in curtailing COVID-19 transmission in the USA (2021) (6)
A Non-Standard Finite-Difference Scheme for a Model of HIV Transmission and Control (2003) (6)
Vaccination and herd immunity thresholds in heterogeneous populations (2021) (6)
Insecticide resistance and malaria control: A genetics-epidemiology modeling approach. (2020) (5)
Removal of Contrived Chaos in Finite-difference Methods (2002) (5)
Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics (2017) (5)
Sequential and parallel methods for solving first-order hyperbolic equations (1996) (5)
Mathematics of Continuous and Discrete Dynamical Systems (2014) (5)
Comments on “A Mathematical Study to Control Visceral Leishmaniasis: An Application to South Sudan” (2018) (4)
Numerical solutions for a coupled non-linear oscillator (2000) (4)
Mathematics of Malaria and Climate Change (2019) (4)
Risk-induced backward bifurcation in HSV-2 transmission dynamics (2012) (3)
Optimal strategies for controlling the MERS coronavirus during a mass gathering (2015) (3)
Visualizing Malaria Spread Under Climate Variability (2016) (3)
Unraveling the dynamics of the Omicron and Delta variants of the 2019 coronavirus in the presence of vaccination, mask usage, and antiviral treatment (2022) (3)
Parallel L0-stable Methods for the Multi-dimensional Diffusion Equation (1997) (3)
Dynamics of a two-sex model for the population ecology of dengue mosquitoes in the presence of Wolbachia. (2020) (2)
Parallel Algorithms for Fourth-order Parabolic Equations (1995) (2)
Multiple interacting planar cracks in an anisotropic multilayered medium under an antiplane shear stress : a hypersingular integral approach (1996) (2)
Dynamics of the Delta and Omicron variants of SARS-CoV-2 in the United States: the battle of supremacy in the presence of vaccination, mask usage and antiviral treatment (2022) (2)
Numerical Methods for a Non-linear System Arising inChemical Kinetics (1997) (2)
THE COMPUTATION OF REPRODUCTION NUMBERS FOR THE ENVIRONMENT-HOST-ENVIRONMENT CHOLERA TRANSMISSION DYNAMICS (2020) (2)
Parallel Algorithms for Second-order Hyperbolic Equations (1995) (2)
Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: A theoretical analysis. (2017) (2)
MATHEMATICAL MODELING OF THE IMPACT OF PERIODIC RELEASE OF STERILE MALE MOSQUITOES AND SEASONALITY ON THE POPULATION ABUNDANCE OF MALARIA MOSQUITOES (2020) (2)
Mathematical Analysis of HIV Treatment Model with Variable Viral Load and Infection Stages (2010) (1)
Mathematical Medicine and Biology (2011) (1)
Mathematical assessment of the impact of cohort vaccination on pneumococcal carriage and serotype replacement (2021) (1)
Mathematics of a single-locus model for assessing the impacts of pyrethroid resistance and temperature on population abundance of malaria mosquitoes (2022) (1)
Higher-order parallel methods for a model of percutaneous drug absorption (1995) (1)
BIFURCATION AND STABILITY ANALYSES OF A 13D SEIC MODEL USING NORMAL FORM REDUCTION AND NUMERICAL SIMULATION (2012) (1)
Mathematical Assessment of the Role of Climate Change on Vector-borne Diseases (2015) (0)
Editorial (2021) (0)
Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2 (2001) (0)
Book reviews (2003) (0)
Qualitative Study of the Role of Pap Screening on HPV Transmission Dynamics (2016) (0)
Special Session 70 : Modeling and Dynamics of Infectious Diseases (2012) (0)
Assessing the impact of widespread respirator use in curtailing COVID-19 transmission in the United States (2021) (0)
Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach (2020) (0)
Mathematical assessment of the role of waning and boosting immunity against the BA.1 Omicron variant in the United States (2022) (0)
Mathematics of a multigroup model for assessing the combined impact of masks and a potential COVID-19 vaccine (2020) (0)
Mathematics of the dynamics of multidrug resistant TB (MDR-TB) in India: Role of timely identiﬁcation and treatment (2021) (0)
Persistence for “ Kill the Winner ” and Nested Infection Lotka-Volterra Models (2016) (0)
Mathematical assessment of the role of temperature and rainfall on mosquito population dynamics (2016) (0)
Modeling Transmission Dynamics of HIV/AIDS: Some Results & Challenges (2007) (0)
Continuous and Reliable Discrete Models for Simultaneous Infection (2015) (0)
From the guest editors [Special issue on disease transmission modelling] (2006) (0)
Corrigendum to ‘Qualitative dynamics of a vaccination model for HSV-2, IMA J. Applied Mathematics, 75(1)(2010): 75–107’ (2011) (0)
Spontaneous and evoked glutamate release of NMDA receptors (0)
Mathematics of FIV and BTB dynamics in buffalo and lion populations at Kruger National Park (2018) (0)
Preface (2003) (0)
Inﬂuenza epidemiology—past, present, and future (2010) (0)
Mathematical Assessment of the Role of Early Latent Infections and Targeted Control Strategies on Syphilis Transmission Dynamics (2018) (0)
Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA (2014) (0)
Practice of Epidemiology When Is Quarantine a Useful Control Strategy for Emerging Infectious Diseases? (2006) (0)
Mathematical modeling of climate change and malaria transmission dynamics: a historical review (2018) (0)

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