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Author ID: cooke.kenneth-l Recent zbMATH articles by "Cooke, Kenneth L."
Published as: Cooke, Kenneth L.; Cooke, K. L.; Cooke, Kenneth; Cooke, K.
Documents Indexed: 105 Publications since 1953, including 5 Books
4 Contributions as Editor
Biographic References: 3 Publications
Co-Authors: 46 Co-Authors with 83 Joint Publications
1,478 Co-Co-Authors
all top 5

Serials

19 Journal of Mathematical Analysis and Applications
8 Journal of Mathematical Biology
6 Mathematical Biosciences
5 SIAM Journal on Applied Mathematics
3 Journal of Differential Equations
3 Transactions of the American Mathematical Society
2 Funkcialaj Ekvacioj. Serio Internacia
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theoretical Population Biology
2 Mathematical Modelling
2 Differential and Integral Equations
2 Journal of Difference Equations and Applications
2 Communications in Applied Analysis
1 Computers & Mathematics with Applications
1 Rocky Mountain Journal of Mathematics
1 Mathematics Magazine
1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie
1 Differentsial’nye Uravneniya
1 Kiberneticheskiĭ Sbornik. Novaya Seriya
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 IMA Journal of Mathematics Applied in Medicine and Biology
1 Applied Mathematics Letters
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Computers and Mathematics with Applications. Part A
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 The Canadian Applied Mathematics Quarterly
1 Annals of Mathematics. Second Series
1 Natural Resource Modeling
1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the American Mathematical Society
1 Revista de Ciencias, Lima
1 Biomathematics (Berlin)
1 Mathematics in Science and Engineering
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 3,278 times in 2,651 Documents Cited by Year
Differential-difference equations. Zbl 0105.06402
Bellman, Richard; Cooke, Kenneth L.
556
1963
Discrete delay, distributed delay and stability switches. Zbl 0492.34064
Cooke, Kenneth L.; Grossman, Zvi
228
1982
Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201
Bellman, R.; Cooke, K. L.
205
1960
Retarded differential equations with piecewise constant delays. Zbl 0557.34059
Cooke, Kenneth L.; Wiener, Joseph
189
1984
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
142
1999
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
137
1996
Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021
Busenberg, Stavros; Cooke, Kenneth
122
1993
On zeroes of some transcendental equations. Zbl 0603.34069
Cooke, Kenneth L.; van den Driessche, Pauline
112
1986
Stability analysis for a vector disease model. Zbl 0423.92029
Cooke, Kenneth L.
103
1979
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
98
1973
Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102
Bellman, R.; Cooke, K. L.
98
1959
Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission. Zbl 0769.92023
Huang, Wenzhang; Cooke, Kenneth L.; Castillo-Chavez, Carlos
81
1992
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
80
1976
A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045
Cooke, Kenneth L.; Wiener, Joseph
68
1991
Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018
Busenberg, Stavros; Cooke, Kenneth L.
54
1982
On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). I: Single population models. Zbl 0715.92029
Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A.
49
1989
On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075
Cooke, Kenneth L.; Huang, Wenzhang
47
1996
Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations. Zbl 0186.16902
Cooke, K. L.; Krumme, D. W.
47
1968
The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601
Cooke, K. L.; Halsey, E.
44
1966
An equation alternately of retarded and advanced type. Zbl 0628.34074
Cooke, Kenneth L.; Wiener, Joseph
40
1987
Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077
Wiener, Joseph; Cooke, Kenneth L.
40
1989
Endemic thresholds and stability in a class of age-structured epidemics. Zbl 0666.92013
Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo
37
1988
The effect of integral conditions in certain equations modelling epidemics and population growth. Zbl 0464.92022
Busenberg, Stavros; Cooke, Kenneth L.
36
1980
Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments. Zbl 0809.65074
Cooke, K. L.; Györi, I.
35
1994
Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102
Cooke, K. L.
31
1967
Differential-difference equations. Translation from the English edition by A. M. Zverkin and G. A. Kamenskiĭ. Edited by L. È. Èl’sgol’ts. (Дифферентиально-разностные уравнения.) Zbl 0163.10501
Bellman, R.; Cooke, K. L.
28
1967
Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301
Cooke, K. L.
28
1967
Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus. Zbl 0703.92022
Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A.
28
1989
Analysis of a model of a vertically transmitted disease. Zbl 0518.92024
Busenberg, S.; Cooke, K. L.; Pozio, M. A.
27
1983
An epidemic equation with immigration. Zbl 0335.92016
Cooke, Kenneth L.
26
1976
Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022
Busenberg, Stavros; Cooke, Kenneth L.
22
1978
An epidemiology model that includes a leaky vaccine with a general waning function. Zbl 1040.92035
Arino, Julien; Cooke, K. L.; van den Driessche, P.; Velasco-Hernández, J.
22
2004
On the computational solution of a class of functional differential equations. Zbl 0138.32103
Bellman, R.; Cooke, K. L.
22
1965
Linear functional differential equations of asymptotically autonomous type. Zbl 0185.18001
Cooke, K. L.
19
1970
Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059
Busenberg, Stavros N.; Cooke, Kenneth L.
19
1984
Functional differential equations close to differential equations. Zbl 0151.10401
Cooke, K. L.
17
1966
A model for HIV in Asia. Zbl 0833.92016
Busenberg, Stavros; Cooke, Kenneth; Hsieh, Ying-Hen
15
1995
Stability theory and adjoint operators for linear differential-difference equations. Zbl 0090.29802
Bellman, Richard; Cooke, Kenneth L.
15
1959
A nonlinear equation with piecewise continuous argument. Zbl 0723.34061
Carvalho, L. A. V.; Cooke, Kenneth L.
14
1988
The condition of regular degeneration for singularly perturbed linear differential-difference equations. Zbl 0151.10303
Cooke, K. L.
12
1965
The population dynamics of two vertically transmitted infections. Zbl 0638.92009
Busenberg, Stavros; Cooke, Kenneth L.
12
1988
Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014
Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst
12
1991
On the discretization of a delay differential equation. Zbl 0954.39003
Cooke, Kenneth L.; Ivanov, Anatoli F.
11
2000
Analyses of an antiviral immune response model with time delays. Zbl 0941.92015
Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan
11
1998
Vertically transmitted diseases. Zbl 0512.92017
Cooke, Kenneth L.; Busenberg, Stavros
10
1982
Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047
Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang
10
2006
Stability, instability in delay equations modeling human respiration. Zbl 0807.92007
Cooke, Kenneth L.; Turi, Janos
9
1994
Equations modelling population growth, economic growth, and gonorrhea epidemiology. Zbl 0317.92023
Cooke, Kenneth L.; Yorke, James A.
9
1972
A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042
Cooke, Kenneth L.; Huang, Wenzhang
9
1992
The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations. Zbl 0142.05802
Cooke, Kenneth L.; Meyer, Kenneth R.
9
1966
Functional differential equations with asymptotically vanishing lag. Zbl 0169.47503
Cooke, K. L.
9
1967
Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080
Cooke, Kenneth L.; Wiener, Joseph
9
1986
One-dimensional linear and logistic harvesting models. Zbl 0611.92025
Cooke, Kenneth L.; Witten, Matthew
9
1986
Stability conditions for linear retarded functional differential equations. Zbl 0526.34057
Cooke, Kenneth L.; Ferreira, Jose M.
9
1983
The asymptotic behavior of the solution of linear and nonlinear differential-difference equations. Zbl 0051.32101
Cooke, K. L.
8
1953
The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS). Zbl 0682.92013
Castillo-Chavez, Carlos; Cooke, Kenneth; Huang, Wenzhang; Levin, Simon A.
8
1989
Applying Carvalho’s method to find periodic solutions of difference equations. Zbl 0856.39010
Cooke, Kenneth L.; Ladeira, Luiz A. C.
7
1996
On the limit of solutions of differential-difference equations as the retardation approaches zero. Zbl 0088.29803
Bellman, Richard; Cooke, Kenneth L.
7
1959
Neutral differential equations with piecewise constant arguments. Zbl 0639.34003
Cooke, Kenneth L.; Wiener, Joseph
7
1987
Distributional and analytic solutions of functional differential equations. Zbl 0527.34069
Cooke, Kenneth L.; Wiener, Joseph
7
1984
Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023
Hsien, Ying-Hen; Cooke, Kenneth
5
2000
A boundary value problem for a functional-differential equation with a linearly transformed argument. Zbl 0863.34070
Cooke, K.; Rossovskiĭ, L. E.; Skubachevskiĭ, A. L.
5
1995
A discrete-time epidemic model with classes of infectives and susceptibles. Zbl 0295.92016
Cooke, Kenneth L.
5
1975
Stability of non-autonomous delay differential equations by Liapunov functionals. Zbl 0546.34059
Cooke, K. L.
5
1984
On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). II: Multiple group models. Zbl 0705.92018
Castillo-Chavez, Carlos; Cooke, Kenneth L.; Huang, Wenzhang; Levin, Simon A.
5
1989
Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024
Cooke, Kenneth L.
5
1982
Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068
Cooke, K. L.; Verduyn Lunel, Sjoerd M.
4
1993
On the sharpness of a theorem by Cooke and Verduyn Lunel. Zbl 0853.34058
Cooke, Kenneth L.; Derfel, Gregory
4
1996
Differential-difference equations. Zbl 0132.30904
Cooke, K. L.
4
1963
Existence and uniqueness theorems in invariant imbedding. I: Conservation principles. Zbl 0142.22703
Bellman, R.; Cooke, K. L.; Kalaba, R.; Wing, G. M.
4
1965
Some recent work on functional-differential equations. Zbl 0175.15002
Cooke, K. L.
4
1967
Linear algebra with differential equations. Zbl 0337.34001
Bentley, Donald L.; Cooke, Kenneth L.
4
1973
The rate of increase of real continuous solutions of algebraic differential-difference equations of the first order. Zbl 0056.31205
Cooke, K. L.
4
1954
Forced periodic solutions of a stable non-linear differential-difference equation. Zbl 0066.33504
Cooke, K. L.
4
1955
Harvesting procedures with management policy in iterative density-dependent population models. Zbl 0850.92070
Cooke, Kenneth L.; Elderkin, Richard; Witten, Matthew
4
1988
Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026
Busenberg, Stavros N.; Cooke, Kenneth L.
3
1979
Asymptotic equivalence of an ordinary and a functional differential equation. Zbl 0304.34073
Cooke, Kenneth L.
3
1975
The rate of increase of real continuous solutions of certain algebraic functional equations. Zbl 0088.09202
Cooke, K. L.
3
1959
Coexistence of analytic and distributional solutions for linear differential equations. I. Zbl 0719.34020
Wiener, Joseph; Cooke, Kenneth L.
3
1990
Spectral conditions and an explicit expression for the stabilization of hybrid systems in the presence of feedback delays. Zbl 0776.93073
Cooke, K. L.; Turi, J.; Turner, G.
2
1993
Collapsible backward continuation and numerical approximations in a functional differential equation. Zbl 0911.34063
Carvalho, L. A. V.; Cooke, Kenneth L.
2
1998
Differential equations and applications in ecology, epidemics, and population problems. (Proceedings of a Conference Held in Claremont, California, January 10-11, 1981). Zbl 0471.00036
2
1981
Stability of a functional differential equation for the motion of a radiating charged particle. Zbl 0473.34044
Cooke, Kenneth L.; Kaplan, James L.; Sorg, M.
2
1981
On a class of hereditary processes in biomechanics. Zbl 0251.92002
Cooke, Kenneth L.; Distefano, Nestor; Kashef, Bayesteh
2
1973
The Königsberg bridges problem generalized. Zbl 0187.21505
Bellman, R.; Cooke, K. L.
2
1969
Stability and thresholds in some age-structured epidemics. Zbl 0686.92014
Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo
2
1989
On dichotomic maps for a class of differential-difference equations. Zbl 0724.34079
Carvalho, L. A. V.; Cooke, K. L.
2
1991
Coexistence of analytic and distributional solutions for linear differential equations. II. Zbl 0734.34015
Wiener, Joseph; Cooke, Kenneth L.; Shah, S. M.
2
1991
On transcendental equations related to differential-difference equations. Zbl 0113.07405
Cooke, K. L.
1
1962
Convergence of successive approximations in the shortest route problem. Zbl 0132.14101
Bentley, D. L.; Cooke, K. L.
1
1965
Existence and uniqueness theorems in invariant imbedding. II: Convergence of a new difference algorithm. Zbl 0142.22801
Bellman, Richard; Cooke, Kenneth L.
1
1965
Analysis of the complicated dynamics of some harvesting models. Zbl 0662.92016
Cooke, Kenneth L.; Nusse, Helena E.
1
1987
Infection models with asymptomatics. Zbl 0564.92014
Cooke, Kenneth L.
1
1985
Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007
Cooke, Kenneth L.
1
1985
A nonlocal existence theorem for systems of ordinary differential equations. Zbl 0068.29403
Cooke, K. L.
1
1955
Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047
Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang
10
2006
An epidemiology model that includes a leaky vaccine with a general waning function. Zbl 1040.92035
Arino, Julien; Cooke, K. L.; van den Driessche, P.; Velasco-Hernández, J.
22
2004
On the discretization of a delay differential equation. Zbl 0954.39003
Cooke, Kenneth L.; Ivanov, Anatoli F.
11
2000
Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023
Hsien, Ying-Hen; Cooke, Kenneth
5
2000
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
142
1999
Analyses of an antiviral immune response model with time delays. Zbl 0941.92015
Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan
11
1998
Collapsible backward continuation and numerical approximations in a functional differential equation. Zbl 0911.34063
Carvalho, L. A. V.; Cooke, Kenneth L.
2
1998
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
137
1996
On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075
Cooke, Kenneth L.; Huang, Wenzhang
47
1996
Applying Carvalho’s method to find periodic solutions of difference equations. Zbl 0856.39010
Cooke, Kenneth L.; Ladeira, Luiz A. C.
7
1996
On the sharpness of a theorem by Cooke and Verduyn Lunel. Zbl 0853.34058
Cooke, Kenneth L.; Derfel, Gregory
4
1996
A model for HIV in Asia. Zbl 0833.92016
Busenberg, Stavros; Cooke, Kenneth; Hsieh, Ying-Hen
15
1995
A boundary value problem for a functional-differential equation with a linearly transformed argument. Zbl 0863.34070
Cooke, K.; Rossovskiĭ, L. E.; Skubachevskiĭ, A. L.
5
1995
Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments. Zbl 0809.65074
Cooke, K. L.; Györi, I.
35
1994
Stability, instability in delay equations modeling human respiration. Zbl 0807.92007
Cooke, Kenneth L.; Turi, Janos
9
1994
Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021
Busenberg, Stavros; Cooke, Kenneth
122
1993
Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068
Cooke, K. L.; Verduyn Lunel, Sjoerd M.
4
1993
Spectral conditions and an explicit expression for the stabilization of hybrid systems in the presence of feedback delays. Zbl 0776.93073
Cooke, K. L.; Turi, J.; Turner, G.
2
1993
Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission. Zbl 0769.92023
Huang, Wenzhang; Cooke, Kenneth L.; Castillo-Chavez, Carlos
81
1992
A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042
Cooke, Kenneth L.; Huang, Wenzhang
9
1992
A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045
Cooke, Kenneth L.; Wiener, Joseph
68
1991
Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014
Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst
12
1991
On dichotomic maps for a class of differential-difference equations. Zbl 0724.34079
Carvalho, L. A. V.; Cooke, K. L.
2
1991
Coexistence of analytic and distributional solutions for linear differential equations. II. Zbl 0734.34015
Wiener, Joseph; Cooke, Kenneth L.; Shah, S. M.
2
1991
Coexistence of analytic and distributional solutions for linear differential equations. I. Zbl 0719.34020
Wiener, Joseph; Cooke, Kenneth L.
3
1990
On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). I: Single population models. Zbl 0715.92029
Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A.
49
1989
Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077
Wiener, Joseph; Cooke, Kenneth L.
40
1989
Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus. Zbl 0703.92022
Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A.
28
1989
The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS). Zbl 0682.92013
Castillo-Chavez, Carlos; Cooke, Kenneth; Huang, Wenzhang; Levin, Simon A.
8
1989
On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). II: Multiple group models. Zbl 0705.92018
Castillo-Chavez, Carlos; Cooke, Kenneth L.; Huang, Wenzhang; Levin, Simon A.
5
1989
Stability and thresholds in some age-structured epidemics. Zbl 0686.92014
Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo
2
1989
Endemic thresholds and stability in a class of age-structured epidemics. Zbl 0666.92013
Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo
37
1988
A nonlinear equation with piecewise continuous argument. Zbl 0723.34061
Carvalho, L. A. V.; Cooke, Kenneth L.
14
1988
The population dynamics of two vertically transmitted infections. Zbl 0638.92009
Busenberg, Stavros; Cooke, Kenneth L.
12
1988
Harvesting procedures with management policy in iterative density-dependent population models. Zbl 0850.92070
Cooke, Kenneth L.; Elderkin, Richard; Witten, Matthew
4
1988
An equation alternately of retarded and advanced type. Zbl 0628.34074
Cooke, Kenneth L.; Wiener, Joseph
40
1987
Neutral differential equations with piecewise constant arguments. Zbl 0639.34003
Cooke, Kenneth L.; Wiener, Joseph
7
1987
Analysis of the complicated dynamics of some harvesting models. Zbl 0662.92016
Cooke, Kenneth L.; Nusse, Helena E.
1
1987
On zeroes of some transcendental equations. Zbl 0603.34069
Cooke, Kenneth L.; van den Driessche, Pauline
112
1986
Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080
Cooke, Kenneth L.; Wiener, Joseph
9
1986
One-dimensional linear and logistic harvesting models. Zbl 0611.92025
Cooke, Kenneth L.; Witten, Matthew
9
1986
Infection models with asymptomatics. Zbl 0564.92014
Cooke, Kenneth L.
1
1985
Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007
Cooke, Kenneth L.
1
1985
Retarded differential equations with piecewise constant delays. Zbl 0557.34059
Cooke, Kenneth L.; Wiener, Joseph
189
1984
Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059
Busenberg, Stavros N.; Cooke, Kenneth L.
19
1984
Distributional and analytic solutions of functional differential equations. Zbl 0527.34069
Cooke, Kenneth L.; Wiener, Joseph
7
1984
Stability of non-autonomous delay differential equations by Liapunov functionals. Zbl 0546.34059
Cooke, K. L.
5
1984
Analysis of a model of a vertically transmitted disease. Zbl 0518.92024
Busenberg, S.; Cooke, K. L.; Pozio, M. A.
27
1983
Stability conditions for linear retarded functional differential equations. Zbl 0526.34057
Cooke, Kenneth L.; Ferreira, Jose M.
9
1983
Discrete delay, distributed delay and stability switches. Zbl 0492.34064
Cooke, Kenneth L.; Grossman, Zvi
228
1982
Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018
Busenberg, Stavros; Cooke, Kenneth L.
54
1982
Vertically transmitted diseases. Zbl 0512.92017
Cooke, Kenneth L.; Busenberg, Stavros
10
1982
Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024
Cooke, Kenneth L.
5
1982
Differential equations and applications in ecology, epidemics, and population problems. (Proceedings of a Conference Held in Claremont, California, January 10-11, 1981). Zbl 0471.00036
2
1981
Stability of a functional differential equation for the motion of a radiating charged particle. Zbl 0473.34044
Cooke, Kenneth L.; Kaplan, James L.; Sorg, M.
2
1981
The effect of integral conditions in certain equations modelling epidemics and population growth. Zbl 0464.92022
Busenberg, Stavros; Cooke, Kenneth L.
36
1980
Stability analysis for a vector disease model. Zbl 0423.92029
Cooke, Kenneth L.
103
1979
Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026
Busenberg, Stavros N.; Cooke, Kenneth L.
3
1979
Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022
Busenberg, Stavros; Cooke, Kenneth L.
22
1978
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
80
1976
An epidemic equation with immigration. Zbl 0335.92016
Cooke, Kenneth L.
26
1976
A discrete-time epidemic model with classes of infectives and susceptibles. Zbl 0295.92016
Cooke, Kenneth L.
5
1975
Asymptotic equivalence of an ordinary and a functional differential equation. Zbl 0304.34073
Cooke, Kenneth L.
3
1975
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
98
1973
Linear algebra with differential equations. Zbl 0337.34001
Bentley, Donald L.; Cooke, Kenneth L.
4
1973
On a class of hereditary processes in biomechanics. Zbl 0251.92002
Cooke, Kenneth L.; Distefano, Nestor; Kashef, Bayesteh
2
1973
Equations modelling population growth, economic growth, and gonorrhea epidemiology. Zbl 0317.92023
Cooke, Kenneth L.; Yorke, James A.
9
1972
Linear functional differential equations of asymptotically autonomous type. Zbl 0185.18001
Cooke, K. L.
19
1970
The Königsberg bridges problem generalized. Zbl 0187.21505
Bellman, R.; Cooke, K. L.
2
1969
Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations. Zbl 0186.16902
Cooke, K. L.; Krumme, D. W.
47
1968
Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102
Cooke, K. L.
31
1967
Differential-difference equations. Translation from the English edition by A. M. Zverkin and G. A. Kamenskiĭ. Edited by L. È. Èl’sgol’ts. (Дифферентиально-разностные уравнения.) Zbl 0163.10501
Bellman, R.; Cooke, K. L.
28
1967
Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301
Cooke, K. L.
28
1967
Functional differential equations with asymptotically vanishing lag. Zbl 0169.47503
Cooke, K. L.
9
1967
Some recent work on functional-differential equations. Zbl 0175.15002
Cooke, K. L.
4
1967
The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601
Cooke, K. L.; Halsey, E.
44
1966
Functional differential equations close to differential equations. Zbl 0151.10401
Cooke, K. L.
17
1966
The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations. Zbl 0142.05802
Cooke, Kenneth L.; Meyer, Kenneth R.
9
1966
On the computational solution of a class of functional differential equations. Zbl 0138.32103
Bellman, R.; Cooke, K. L.
22
1965
The condition of regular degeneration for singularly perturbed linear differential-difference equations. Zbl 0151.10303
Cooke, K. L.
12
1965
Existence and uniqueness theorems in invariant imbedding. I: Conservation principles. Zbl 0142.22703
Bellman, R.; Cooke, K. L.; Kalaba, R.; Wing, G. M.
4
1965
Convergence of successive approximations in the shortest route problem. Zbl 0132.14101
Bentley, D. L.; Cooke, K. L.
1
1965
Existence and uniqueness theorems in invariant imbedding. II: Convergence of a new difference algorithm. Zbl 0142.22801
Bellman, Richard; Cooke, Kenneth L.
1
1965
Differential-difference equations. Zbl 0105.06402
Bellman, Richard; Cooke, Kenneth L.
556
1963
Differential-difference equations. Zbl 0132.30904
Cooke, K. L.
4
1963
On transcendental equations related to differential-difference equations. Zbl 0113.07405
Cooke, K. L.
1
1962
Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201
Bellman, R.; Cooke, K. L.
205
1960
Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102
Bellman, R.; Cooke, K. L.
98
1959
Stability theory and adjoint operators for linear differential-difference equations. Zbl 0090.29802
Bellman, Richard; Cooke, Kenneth L.
15
1959
On the limit of solutions of differential-difference equations as the retardation approaches zero. Zbl 0088.29803
Bellman, Richard; Cooke, Kenneth L.
7
1959
The rate of increase of real continuous solutions of certain algebraic functional equations. Zbl 0088.09202
Cooke, K. L.
3
1959
Forced periodic solutions of a stable non-linear differential-difference equation. Zbl 0066.33504
Cooke, K. L.
4
1955
A nonlocal existence theorem for systems of ordinary differential equations. Zbl 0068.29403
Cooke, K. L.
1
1955
The rate of increase of real continuous solutions of algebraic differential-difference equations of the first order. Zbl 0056.31205
Cooke, K. L.
4
1954
The asymptotic behavior of the solution of linear and nonlinear differential-difference equations. Zbl 0051.32101
Cooke, K. L.
8
1953
all top 5

Cited by 3,145 Authors

33 Cooke, Kenneth L.
29 Wei, Junjie
29 Yuan, Rong
20 Gyori, Istvan
17 Akhmet, Marat Ubaydulla
16 Chiu, Kuo-Shou
16 Jiang, Daqing
15 Ma, Zhien
15 Pinto, Manuel
15 Teng, Zhi-dong
14 Chen, Lansun
14 Kharitonov, Vladimir Leonidovich
14 Niculescu, Silviu-Iulian
14 Wu, Jianhong
13 Cahlon, Baruch
13 Foryś, Urszula
13 Gumel, Abba B.
13 Liu, Qun
13 Meng, Xinzhu
12 van den Driessche, Pauline
12 Wiener, Joseph
12 Zhang, Tailei
12 Zhao, Xiao-Qiang
11 Castillo-Chavez, Carlos
11 Grebenshchikov, B. G.
11 Hartung, Ferenc
11 Huang, Lihong
11 Jin, Zhen
11 Partington, Jonathan R.
11 Ruan, Shigui
11 Trofimchuk, Sergei I.
10 Brauer, Fred
10 Hale, Jack Kenneth
10 Ivanov, Anatoli F.
10 Liu, Mingzhu
10 Stević, Stevo
10 Xu, Rui
10 Yi, Taishan
10 Yurko, Vjacheslav Anatoljevich
9 Banks, Harvey Thomas
9 Brunner, Hermann
9 Datko, Richard F.
9 Gopalsamy, Kondalsamy
9 Hethcote, Herbert W.
9 Li, Xuezhi
9 Ma, Wanbiao
9 Mukandavire, Zindoga
9 Schmidt, Darrell
9 Song, Xinyu
9 Terefe, Yibeltal Adane
9 Thieme, Horst R.
9 Zhang, Fengqin
9 Zou, Xingfu
8 Bereketoglu, Huseyin
8 Beretta, Edoardo
8 Busenberg, Stavros N.
8 Greenhalgh, David
8 Huang, Wenzhang
8 Ladas, Gerasimos E.
8 Langlais, Michel R.
8 Liu, Junli
8 Liu, Xinzhi
8 Liz, Eduardo
8 Naresh, Ram
8 Takeuchi, Yasuhiro
8 Wang, Lin
8 Wang, Wendi
8 Yorke, James Alan
8 Zhang, Tonghua
7 Bacaër, Nicolas
7 Bodnar, Marek
7 Boussaada, Islam
7 Burton, Theodore Allen
7 Ding, Huisheng
7 Garira, Winston S.
7 Karakoç, Fatma
7 Krisztin, Tibor
7 Liao, Xiaofeng
7 Malygina, V. V.
7 Merdan, Hüseyin
7 Mitrokhin, Sergeĭ Ivanovich
7 Mondié, Sabine
7 Rezunenko, Oleksandr V”yacheslavovych
7 Song, Minghui
7 Sun, Guiquan
7 Tripathi, Agraj
7 Xia, Yonghui
7 Zhang, Weinian
7 Zhu, Huaiping
6 Ağirseven, Deniz
6 Al-saedi, Ahmed Eid Salem
6 Amiraliyev, Gabil M.
6 Ashyralyev, Allaberen
6 Baker, Christopher Thomas Hale
6 Blyuss, Konstantin B.
6 Boucekkine, Raouf
6 Breda, Dimitri
6 Chen, Yuming
6 Cui, Jingan
6 Fan, Guihong
...and 3,045 more Authors
all top 5

Cited in 378 Serials

237 Journal of Mathematical Analysis and Applications
118 Mathematical Biosciences
115 Applied Mathematics and Computation
87 Journal of Differential Equations
71 Journal of Mathematical Biology
54 Chaos, Solitons and Fractals
50 Journal of Computational and Applied Mathematics
50 Nonlinear Analysis. Real World Applications
48 Nonlinear Analysis. Theory, Methods & Applications
47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
43 Mathematical and Computer Modelling
42 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
39 Applied Mathematical Modelling
38 Bulletin of Mathematical Biology
38 Automatica
38 Advances in Difference Equations
36 Applied Mathematics Letters
33 Computers & Mathematics with Applications
33 Mathematical Biosciences and Engineering
27 Journal of Dynamics and Differential Equations
27 Journal of Difference Equations and Applications
27 International Journal of Biomathematics
26 Systems & Control Letters
24 Journal of Mathematical Sciences (New York)
23 Nonlinear Dynamics
23 Discrete and Continuous Dynamical Systems. Series B
22 International Journal of Control
22 Abstract and Applied Analysis
21 Physica A
20 Journal of Theoretical Biology
19 Applicable Analysis
18 International Journal of Systems Science
18 Theoretical Population Biology
18 Applied Numerical Mathematics
18 Russian Mathematics
18 Discrete Dynamics in Nature and Society
17 Journal of Optimization Theory and Applications
17 Proceedings of the American Mathematical Society
16 Mathematics and Computers in Simulation
15 International Journal of Computer Mathematics
15 Chaos
15 Journal of Applied Mathematics and Computing
15 International Journal of Control, I. Series
15 Journal of Biological Dynamics
14 Journal of the Franklin Institute
14 Ukrainian Mathematical Journal
14 Physica D
14 Communications in Nonlinear Science and Numerical Simulation
14 Differential Equations
12 Mathematical Methods in the Applied Sciences
12 Rocky Mountain Journal of Mathematics
12 Tôhoku Mathematical Journal. Second Series
12 Acta Applicandae Mathematicae
12 Cybernetics and Systems Analysis
12 Journal of Applied Mathematics
11 Mathematical Problems in Engineering
11 Mathematical Population Studies
10 Siberian Mathematical Journal
10 Transactions of the American Mathematical Society
9 Acta Mathematica Sinica. English Series
9 Journal of Biological Systems
8 Acta Mathematicae Applicatae Sinica. English Series
8 European Journal of Operational Research
8 Computational and Applied Mathematics
8 International Journal of Applied and Computational Mathematics
7 Mathematical Notes
7 Journal of Integral Equations and Applications
7 Numerical Algorithms
7 Communications on Pure and Applied Analysis
7 Proceedings of the Steklov Institute of Mathematics
7 Mathematical Modelling of Natural Phenomena
6 Mathematics of Computation
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Kybernetika
6 Mathematical Systems Theory
6 Numerical Functional Analysis and Optimization
6 Numerische Mathematik
6 Results in Mathematics
6 Applied Mathematics and Mechanics. (English Edition)
6 Computers & Operations Research
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 SIAM Journal on Applied Mathematics
6 Journal of Nonlinear Science
6 Advances in Computational Mathematics
6 Differential Equations and Dynamical Systems
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Boundary Value Problems
6 International Journal of Systems Science. Principles and Applications of Systems and Integration
5 Periodica Mathematica Hungarica
5 Journal of Soviet Mathematics
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 SIAM Journal on Control and Optimization
5 Stochastic Analysis and Applications
5 Science in China. Series A
5 Journal of Computer and Systems Sciences International
5 Complexity
5 Nonlinear Analysis. Hybrid Systems
5 Afrika Matematika
4 Biological Cybernetics
4 Bulletin of the Australian Mathematical Society
...and 278 more Serials
all top 5

Cited in 49 Fields

1,534 Ordinary differential equations (34-XX)
1,066 Biology and other natural sciences (92-XX)
336 Systems theory; control (93-XX)
280 Numerical analysis (65-XX)
248 Partial differential equations (35-XX)
207 Dynamical systems and ergodic theory (37-XX)
183 Integral equations (45-XX)
127 Difference and functional equations (39-XX)
103 Operator theory (47-XX)
92 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
79 Probability theory and stochastic processes (60-XX)
72 Operations research, mathematical programming (90-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
43 Real functions (26-XX)
43 Computer science (68-XX)
23 Mechanics of particles and systems (70-XX)
22 Functions of a complex variable (30-XX)
21 Mechanics of deformable solids (74-XX)
21 Statistical mechanics, structure of matter (82-XX)
18 Functional analysis (46-XX)
17 Combinatorics (05-XX)
16 Fluid mechanics (76-XX)
14 Integral transforms, operational calculus (44-XX)
13 Approximations and expansions (41-XX)
12 Special functions (33-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Statistics (62-XX)
7 Number theory (11-XX)
7 Information and communication theory, circuits (94-XX)
6 General and overarching topics; collections (00-XX)
6 Abstract harmonic analysis (43-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Global analysis, analysis on manifolds (58-XX)
3 History and biography (01-XX)
3 General topology (54-XX)
3 Optics, electromagnetic theory (78-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Algebraic topology (55-XX)
2 Quantum theory (81-XX)
2 Astronomy and astrophysics (85-XX)
1 Field theory and polynomials (12-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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