Gail Wolkowicz | Academic Influence

Gail Wolkowicz's AcademicInfluence.com Rankings

Gail Wolkowicz

Mathematics

#4592

World Rank

#6502

Historical Rank

Measure Theory

#3445

World Rank

#4063

Historical Rank

mathematics Degrees

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Mathematics

Gail Wolkowicz's Degrees

PhD Mathematics University of British Columbia
Masters Mathematics University of British Columbia
Bachelors Mathematics University of British Columbia

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Why Is Gail Wolkowicz Influential?

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According to Wikipedia, Gail Susan Kohl Wolkowicz is a Canadian researcher in differential equations, dynamical systems, and mathematical biology who works as a professor of mathematics and statistics at McMaster University. She is known, among other contributions, for her proof that the competitive exclusion principle holds for inter-species competition in the chemostat.

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Gail Wolkowicz'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 Works

The theory of the chemostat: Dynamics of microbial competition (1996) (483)
Global dynamics of a mathematical model of competition in the chemostat: general response functions and differential death rates (1992) (265)
A MATHEMATICAL MODEL OF THE CHEMOSTAT WITH A GENERAL CLASS OF FUNCTIONS DESCRIBING NUTRIENT UPTAKE (1985) (252)
Predator-prey systems with group defence: The paradox of enrichment revisited (1986) (227)
Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response (2003) (210)
Bifurcation Analysis of a Predator-Prey System Involving Group Defence (1988) (155)
Global Asymptotic Behavior of a Chemostat Model with Discrete Delays (1997) (149)
An alternative formulation for a delayed logistic equation. (2006) (122)
Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior (1997) (115)
Moving forward in circles: challenges and opportunities in modelling population cycles. (2017) (92)
Bifurcation Analysis of a Chemostat Model with a Distributed Delay (1996) (87)
A delayed chemostat model with general nonmonotone response functions and differential removal rates (2006) (62)
Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat (1994) (57)
Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources (1987) (52)
Transient oscillations induced by delayed growth response in the chemostat (2005) (47)
Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition (2013) (46)
A System of Resource-Based Growth Models with Two Resources in the Unstirred Chemostat (2001) (46)
The Effect of Inhibitor on the Plasmid-Bearing and Plasmid-Free Model in the Unstirred Chemostat (2007) (46)
Differential Equations with Applications to Biology (1998) (46)
Exploitative competition in the chemostat for two perfectly substitutable resources. (1993) (45)
Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay (2000) (45)
Predator-mediated competition in the chemostat (1986) (43)
Considerations on yield, nutrient uptake, cellular growth, and competition in chemostat models (2005) (43)
A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat (2004) (42)
Optimal biogas production in a model for anaerobic digestion (2015) (40)
Successful invasion of a food web in a chemostat. (1989) (38)
A predator-prey system involving group defense: a connection matrix approach (1990) (37)
Global analysis of competition for perfectly substitutable resources with linear response (2005) (34)
Global dynamics of a chemostat competition model with distributed delay (1999) (31)
Mathematical models of microbial growth and competition in the chemostat regulated by cell-bound extracellular enzymes (1992) (29)
ANALYSIS OF A MODEL OF THE NUTRIENT DRIVEN SELF-CYCLING FERMENTATION PROCESS (2004) (27)
Dynamical Systems and Their Applications in Biology (2003) (23)
Sensitivity of the dynamics of the general Rosenzweig–MacArthur model to the mathematical form of the functional response: a bifurcation theory approach (2018) (20)
An examination of the thresholds of enrichment: a resource-based growth model (1995) (19)
The Bifurcation Study of 1:2 Resonance in a Delayed System of Two Coupled Neurons (2013) (17)
Dynamics of the stochastic chemostat with Monod-Haldane response function (2017) (14)
How seasonal forcing influences the complexity of a predator-prey system (2018) (14)
The Effect of Travel Loss on Evolutionarily Stable Distributions of Populations in Space (2011) (14)
Predator — mediated coexistence in a chemostat: Coexistence and competition reversal (1987) (13)
Classical and resource-based competition: a unifying graphical approach (2011) (12)
An Alternative Formulation for a Distributed Delayed Logistic Equation (2018) (11)
ANALYSIS OF A MODEL OF NUTRIENT DRIVEN SELF-CYCLING FERMENTATION ALLOWING UNIMODAL RESPONSE FUNCTIONS (2007) (10)
Competition in the presence of a virus in an aquatic system: an SIS model in the chemostat (2012) (9)
Pest control by generalist parasitoids: A bifurcation theory approach (2020) (9)
Global Asymptotic Behavior of a Multi-species Stochastic Chemostat Model with Discrete Delays (2020) (9)
A Predator-Prey Model in the Chemostat with Time Delay (2010) (8)
Global Analysis of a Simplified Model of Anaerobic Digestion and a New Result for the Chemostat (2019) (8)
Existence of Multiple Limit Cycles in a Predator-Prey Model with $\arctan(ax)$ as Functional Response (2015) (7)
Chaotic dynamics in a simple predator-prey model with discrete delay (2020) (6)
A criterion for the existence of relaxation oscillations with applications to predator-prey systems and an epidemic model (2018) (6)
Interaction in a Chemostat: Introduction of a Competitor Can Promote Greater Diversity (1995) (5)
HOPF BIFURCATION OF DELAY DIFFERENTIAL EQUATIONS WITH DELAY DEPENDENT PARAMETERS (5)
A qualitative study of an anaerobic food-web reveals the importance of hydrogen for microbial stability (2020) (4)
Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system (2016) (3)
Elementary Problems: E3231-3236 (1987) (3)
Invasion of a persistent system (1990) (3)
A delay model for persistent viral infections in replicating cells (2021) (2)
Global Asymptotic Behavior of a Multi-species Stochastic Chemostat Model with Discrete Delays (2019) (2)
Bifurcation Analysis of an Impulsive System Describing Partial Nitritation and Anammox in a Hybrid Reactor. (2021) (2)
An alternative delayed population growth difference equation model (2020) (2)
Bifurcation analysis of an impulsive system describing Partial Nitritation and Anammox in a hybrid reactor (2020) (2)
Growth on multiple interactive-essential resources in a self-cycling fermentor: An impulsive differential equations approach (2020) (2)
Dynamics of a Predator–Prey Model with Distributed Delay to Represent the Conversion Process or Maturation (2020) (1)
A Predator-Prey model in the chemostat with Holling Type II response function (2020) (1)
Sensitivity of the dynamics of the general Rosenzweig–MacArthur model to the mathematical form of the functional response: a bifurcation theory approach (2018) (1)
Growth on two limiting essential resources in a self-cycling fermentor. (2018) (1)
Preface: Recent advances in bifurcation theory and application (2020) (1)
Derivation and Analysis of a Discrete Predator–Prey Model (2022) (1)
Microbial Dynamics in a Chemostat: Competition, Growth, Implications of Enrichment (2020) (0)
Analysis of chemostat models with application to a model of anaerobic digestion (2018) (0)
Persistence in P L a N K T O N Models W I T H Delayed N U T R I E N T Recycling (2005) (0)
A predator-prey model with time delay and the Mackey-Glass attractor (2014) (0)
BIOMATH 2018 International Conference and School for Young Scientists (2018) (0)
Optimal biogas production in a model for anaerobic digestion (2015) (0)
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators (2022) (0)
Mathematical Biology (0)
Dynamics of the stochastic chemostat with Monod-Haldane response function (2017) (0)
An Alternative Formulation for a Distributed Delayed Logistic Equation (2018) (0)
Rich dynamics in a delayed Gause-type predator-prey model (2012) (0)
Book reviews (1996) (0)
Qualitative analysis of a three-tiered food-web in a chemostat with multiple substrate inflow (2019) (0)
A mathematical model of group defence in predator-prey systems (1987) (0)
Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system (2015) (0)
Population growth and competition models with decay and competition consistent delay (2021) (0)
The Bifurcation Study of 1:2 Resonance in a Delayed System of Two Coupled Neurons (2013) (0)
Population growth and competition models with decay and competition consistent delay (2022) (0)
Competition in the presence of a virus in an aquatic system: an SIS model in the chemostat (2011) (0)

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