Kenneth L. Cooke
#24,636
Most Influential Person Now
American mathematical biologist
Kenneth L. Cooke's AcademicInfluence.com Rankings
Kenneth L. Cookemathematics Degrees
Mathematics
#4420
World Rank
#6281
Historical Rank
Measure Theory
#1322
World Rank
#1666
Historical Rank
Kenneth L. Cookebiology Degrees
Biology
#5411
World Rank
#7883
Historical Rank
Mathematical Biology
#11
World Rank
#13
Historical Rank
Download Badge
Mathematics Biology
Why Is Kenneth L. Cooke Influential?
(Suggest an Edit or Addition)According to Wikipedia, Kenneth L. Cooke was an American mathematical biologist known for his contributions to the study of epidemics. He was the W. M. Keck Professor of Mathematics at Pomona College in Claremont, California.
Kenneth L. Cooke'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
- Differential-Difference Equations (1967) (2637)
- Discrete delay, distributed delay and stability switches (1982) (680)
- The shortest route through a network with time-dependent internodal transit times (1966) (446)
- On zeroes of some transcendental equations (1986) (366)
- Analysis of an SEIRS epidemic model with two delays (1996) (332)
- Retarded differential equations with piecewise constant delays (1984) (326)
- Some equations modelling growth processes and gonorrhea epidemics (1973) (257)
- Stability analysis for a vector disease model (1979) (233)
- Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission (1992) (219)
- Vertically Transmitted Diseases: Models and Dynamics (1993) (203)
- MODELS OF VERTICALLY TRANSMITTED DISEASES WITH SEQUENTIAL-CONTINUOUS DYNAMICS (1982) (187)
- Interaction of maturation delay and nonlinear birth in population and epidemic models (1999) (167)
- Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations (1968) (148)
- A periodicity threshold theorem for epidemics and population growth (1976) (148)
- On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS) (1989) (146)
- Interaction of maturation delay and nonlinear birth in population and epidemic models (1999) (140)
- Vertically transmitted diseases (1993) (138)
- On the problem of linearization for state-dependent delay differential equations (1996) (114)
- Transformations: Mathematical Approaches to Culture Change (1979) (114)
- A survey of differential equations with piecewise continuous arguments (1991) (90)
- An equation alternately of retarded and advanced type (1986) (89)
- Endemic thresholds and stability in a class of age-structured epidemics (1988) (88)
- Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus (1989) (88)
- The effect of integral conditions in certain equations modelling epidemics and population growth (1980) (86)
- Asymptotic behavior of solutions of differential-difference equations (1959) (67)
- Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments (1994) (66)
- Oscillations in systems of differential equations with piecewise constant argument (1989) (65)
- VERTICALLY TRANSMITTED DISEASES††This research was supported in part by the National Science Foundation under Grant MCS 7903497. (1982) (58)
- An epidemiology model that includes a leaky vaccine with a general waning function (2004) (54)
- Analysis of a model of a vertically transmitted disease (1983) (52)
- An epidemic equation with immigration (1976) (51)
- On the role of long incubation periods in the dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 2: multiple group models (1990) (50)
- Asymptotic theory for the delay-differential equation u′(t) = −au(t − r(u(t))) (1967) (49)
- Periodic Solutions of a Periodic Nonlinear Delay Differential Equation (1978) (45)
- The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS) (1989) (45)
- Functional differential equations close to differential equations (1966) (44)
- Demographic change and persistence of HIV/AIDS in heterogeneous population (1991) (41)
- STABILITY OR CHAOS IN DISCRETE EPIDEMIC MODELS (1977) (39)
- A model for HIV in Asia. (1995) (38)
- A nonlinear equation with piecewise continuous argument (1988) (38)
- Linear functional differential equations of asymptotically autonomous type (1970) (36)
- Stability conditions for linear nonautonomous delay differential equations (1984) (34)
- One-dimensional linear and logistic harvesting models (1986) (33)
- ON THE COMPUTATIONAL SOLUTION OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS (1965) (32)
- Stability, instability in delay equations modeling human respiration (1994) (32)
- Stability Conditions for Linear Retarded Functional Differential Equations (1983) (32)
- The population dynamics of two vertically transmitted infections. (1988) (31)
- On the discretization of a delay differential equation (2000) (28)
- Differential Equations and Applications in Ecology, Epidemics, and Population Problems (2012) (27)
- Hereditary Differential Systems with Constant Delays (27)
- Predator-prey Interactions with Delays Due to Juvenile Maturation (2006) (24)
- Behaviour change and treatment of core groups: its effect on the spread of HIV/AIDS. (2000) (23)
- ANALYSES OF AN ANTIVIRAL IMMUNE RESPONSE MODEL WITH TIME DELAYS (2005) (22)
- Distributional and analytic solutions of functional differential equations (1982) (21)
- Mathematical Approaches to Culture Change (1979) (21)
- Modern elementary differential equations (1968) (20)
- Stability regions for linear equations with piecewise continuous delay (1986) (20)
- EQUATIONS MODELLING POPULATION GROWTH, ECONOMIC GROWTH, AND GONORRHEA EPIDEMIOLOGY (1972) (18)
- The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations (1966) (17)
- ON THE LIMIT OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS AS THE RETARDATION APPROACHES ZERO. (1959) (17)
- The condition of regular degeneration for singularly perturbed linear differential-difference equations (1965) (16)
- Models for endemic infections with asymptomatic cases. I. One group (1982) (16)
- STABILITY THEORY AND ADJOINT OPERATORS FOR LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS (1959) (15)
- Autonomous Risk-Behavior Change, and Non-Linear Incidence Rate, in Models of Sexually Transmitted Diseases. (1991) (15)
- Coexistence of analytic and distributional solutions for linear differential equations, II (1990) (14)
- Existence and uniqueness theorems in invariant imbedding—I conservation principles (1965) (13)
- PERIODIC SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS ARISING IN SOME MODELS OF EPIDEMICS (1979) (13)
- Analysis of the complicated dynamics of some harvesting models (1987) (12)
- An Experiment on the Simulation of Culture Changes (1979) (12)
- Asymptotic equivalence of an ordinary and a functional differential equation (1975) (12)
- Functional differential equations with asymptotically vanishing lag (1967) (12)
- The rate of increase of real continuous solutions of algebraic differential-difference equations of the first order. (1954) (11)
- HARVESTING PROCEDURES WITH MANAGEMENT POLICY IN ITERATIVE DENSITY‐DEPENDENT POPULATION MODELS (1988) (11)
- Algorithms, graphs, and computers (2012) (11)
- Distributional and small solutions for linear time-dependent delay equations (1993) (11)
- Stability of Delay Differential Equations with Applications in Biology and Medicine (1985) (10)
- Nonlinear Filtering: The Exact Dynamical Equations Satisfied by the Conditional Mode (1967) (10)
- Stabilization of hybrid systems in the presence of feedback delays (1991) (10)
- The Konigsberg bridges problem generalized (1969) (9)
- A discrete-time epidemic model with classes of infectives and susceptibles. (1975) (9)
- Convergence tests for one scalar differential equation with vanishing delay (2012) (9)
- Forced Periodic Solutions of a Stable Non-Linear Differential-Difference Equation (1955) (9)
- On the Sharpness of a Theorem by Cooke and Verduyn Lunel (1996) (8)
- Stability of non-autonomous delay differential equations by Liapunov functionals (1984) (7)
- The asymptotic behavior of the solutions of linear and nonlinear differential-difference equations (1953) (7)
- EXISTENCE AND UNIQUENESS THEOREMS IN INVARIANT IMBEDDING. II. CONVERGENCE OF A NEW DIFFERENCE ALGORITHM (1965) (7)
- Book Review: Retarded dynamical systems\RM : stability and characteristic functions (1992) (6)
- The rate of increase of real continuous solutions of certain algebraic functional equations (1959) (6)
- On dichotomic maps for a class of differential-difference equations (1991) (6)
- Collapsible Backward Continuation and Numerical Approximations in a Functional Differential Equation (1998) (6)
- Stability and Thresholds in Some Age-Structured Epidemics (1989) (5)
- On a class of hereditary processes in biomechanics (1973) (5)
- On periodic solutions for a class of linear scaled differential equations. II (1999) (4)
- Convergence of successive approximations in the shortest route problem (1965) (4)
- A non-local existence theorem for systems of ordinary differential equations (1955) (4)
- On transcendental equations related to differential-difference equations (1962) (4)
- Mixing Patterns and Multiple Endemic States in Models of AIDS (1989) (3)
- Graphical Solution of Difficult Crossing Puzzles (1966) (3)
- Mathematical Models of Vertical Transmission of Infection (1984) (3)
- On the Modelling of Epidemics (1989) (3)
- A Symbolic Method for Finding Integrals of Linear Difference and Differential-Difference Equations (1958) (3)
- Stability of a functional differential equation for the motion of a radiating charged particle (1981) (3)
- Differential equations and applications to biology and to industry : proceedings of the June 1-4, 1994, Claremont international conference dedicated to the memory of Stavros Busenberg (1941-1993) (1995) (3)
- Delay Differential Equations (2010) (2)
- Introduction to the theory of differential equations with deviating arguments: by L. E. El'sgol'ts. (Russian trans. by R. J. McLaughlin). 109 pages, 6×9 in. San Francisco, Cal., Holden-Day, Inc., 1966. Price, $6.95 (1967) (1)
- Random Fluctuations of the Duration of Harvest (1983) (1)
- Differential equations and applications in ecology, epidemics, and population problems : proceedings of a Conference on Differential Equations and Applications in Ecology, Epidemnics [sic], and Population Problems, held in Claremont, California, January 10-11, 1981 (1981) (1)
- On the Sharpness of a Theorem by Cooke and Verduyn Lunel: Volume197, Number 2 (1996), pages 379–391 (1996) (1)
- Experiment On the Simulation of Culture Changes. In: Transformations: Mathematical Approaches To Culture Change (1979) (1)
- A Linear Hyperbolic Problem All of Whose Solutions are Constant after Finite Time (1974) (1)
- On a Nonlinear Volterra integral Equation in a Banach Space (1978) (0)
- Delay Differential Equations Models (1993) (0)
- PREPARED FOR : UNITED STATES AIR FORCE PROJECT RAND DDC > f ? r ^ pnnni OCX 1 9 1964 DOC IRA C 7 (2016) (0)
- THE JUNE MEETING IN EUGENE The four hundred eight-second meeting of the American Mathe- (2007) (0)
- Age and Internal Structure (1993) (0)
- Proceedings of Sims Conference on Epidemiology : conference held at Alta, Utah, July 8-12, 1974 (1975) (0)
- Difference Equations Models (1993) (0)
- Modeling dynamic phenomena in molecular and cellular biology : Lee A. Segel (1986) (0)
- Nuclear safety code study (1981) (0)
- Doctor of Philosophy in Mathematics Department of Mathematics (2004) (0)
- Suboptimal Control of a Class of Discrete-Continuous Time Systems (1970) (0)
- Oscillations in Lotka-Volterra Systems with Several Delays (2003) (0)
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF LINEAR PARABOLIC EQUATIONS (1960) (0)
This paper list is powered by the following services:
Other Resources About Kenneth L. Cooke
What Schools Are Affiliated With Kenneth L. Cooke?
Kenneth L. Cooke is affiliated with the following schools:
