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Cooke, Kenneth L.

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Author ID: cooke.kenneth-l Recent zbMATH articles by "Cooke, Kenneth L."
Published as: Cooke, K.; Cooke, K. L.; Cooke, Kenneth; Cooke, Kenneth L.
Documents Indexed: 109 Publications since 1953, including 9 Books
Biographic References: 3 Publications
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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 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 Mathematics in Science and Engineering
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 3,578 times in 2,611 Documents Cited by Year
Differential-difference equations. Zbl 0105.06402
Bellman, Richard; Cooke, Kenneth L.
922
1963
Discrete delay, distributed delay and stability switches. Zbl 0492.34064
Cooke, Kenneth L.; Grossman, Zvi
211
1982
Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201
Bellman, R.; Cooke, K. L.
206
1960
Retarded differential equations with piecewise constant delays. Zbl 0557.34059
Cooke, Kenneth L.; Wiener, Joseph
165
1984
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
121
1999
Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102
Bellman, R.; Cooke, K. L.
118
1959
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
116
1996
Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021
Busenberg, Stavros; Cooke, Kenneth
110
1993
On zeroes of some transcendental equations. Zbl 0603.34069
Cooke, Kenneth L.; van den Driessche, Pauline
108
1986
Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011
Cooke, Kenneth L.; Yorke, James A.
97
1973
Stability analysis for a vector disease model. Zbl 0423.92029
Cooke, Kenneth L.
93
1979
Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018
Busenberg, Stavros; Cooke, Kenneth L.
87
1982
A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012
Cooke, Kenneth L.; Kaplan, James L.
79
1976
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
69
1992
A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045
Cooke, Kenneth L.; Wiener, Joseph
68
1991
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.
52
1989
Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations. Zbl 0186.16902
Cooke, K. L.; Krumme, D. W.
44
1968
On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075
Cooke, Kenneth L.; Huang, Wenzhang
43
1996
The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601
Cooke, K. L.; Halsey, E.
41
1966
Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077
Wiener, Joseph; Cooke, Kenneth L.
37
1989
Endemic thresholds and stability in a class of age-structured epidemics. Zbl 0666.92013
Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo
37
1988
An equation alternately of retarded and advanced type. Zbl 0628.34074
Cooke, Kenneth L.; Wiener, Joseph
37
1987
The effect of integral conditions in certain equations modelling epidemics and population growth. Zbl 0464.92022
Busenberg, Stavros; Cooke, Kenneth L.
32
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.
31
1994
Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301
Cooke, K. L.
31
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
Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102
Cooke, K. L.
28
1967
Analysis of a model of a vertically transmitted disease. Zbl 0518.92024
Busenberg, S.; Cooke, K. L.; Pozio, M. A.
26
1983
Differential-difference equations. Translation from the English edition by A.M.Zverkin and G.A.Kamenskij. Zbl 0163.10501
Bellman, R.; Cooke, K. L.
26
1967
Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022
Busenberg, Stavros; Cooke, Kenneth L.
22
1978
An epidemic equation with immigration. Zbl 0335.92016
Cooke, Kenneth L.
22
1976
On the computational solution of a class of functional differential equations. Zbl 0138.32103
Bellman, R.; Cooke, K. L.
22
1965
Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059
Busenberg, Stavros N.; Cooke, Kenneth L.
19
1984
Linear functional differential equations of asymptotically autonomous type. Zbl 0185.18001
Cooke, K. L.
19
1970
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.
17
2004
Functional differential equations close to differential equations. Zbl 0151.10401
Cooke, K. L.
17
1966
Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014
Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst
15
1991
The condition of regular degeneration for singularly perturbed linear differential-difference equations. Zbl 0151.10303
Cooke, K. L.
15
1965
Stability theory and adjoint operators for linear differential-difference equations. Zbl 0090.29802
Bellman, Richard; Cooke, Kenneth L.
15
1959
A model for HIV in Asia. Zbl 0833.92016
Busenberg, Stavros; Cooke, Kenneth; Hsieh, Ying-Hen
14
1995
A nonlinear equation with piecewise continuous argument. Zbl 0723.34061
Carvalho, L. A. V.; Cooke, Kenneth L.
13
1988
Analyses of an antiviral immune response model with time delays. Zbl 0941.92015
Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan
12
1998
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.
12
1989
The population dynamics of two vertically transmitted infections. Zbl 0638.92009
Busenberg, Stavros; Cooke, Kenneth L.
12
1988
On the discretization of a delay differential equation. Zbl 0954.39003
Cooke, Kenneth L.; Ivanov, Anatoli F.
11
2000
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.
11
1989
Vertically transmitted diseases. Zbl 0512.92017
Cooke, Kenneth L.; Busenberg, Stavros
11
1982
The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations. Zbl 0142.05802
Cooke, Kenneth L.; Meyer, Kenneth R.
10
1966
Differential-difference equations. Zbl 0132.30904
Cooke, K. L.
10
1963
A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042
Cooke, Kenneth L.; Huang, Wenzhang
9
1992
Neutral differential equations with piecewise constant arguments. Zbl 0639.34003
Cooke, Kenneth L.; Wiener, Joseph
9
1987
Stability conditions for linear retarded functional differential equations. Zbl 0526.34057
Cooke, Kenneth L.; Ferreira, Jose M.
9
1983
Functional differential equations with asymptotically vanishing lag. Zbl 0169.47503
Cooke, K. L.
9
1967
The asymptotic behavior of the solution of linear and nonlinear differential-difference equations. Zbl 0051.32101
Cooke, K. L.
9
1953
Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047
Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang
8
2006
Stability, instability in delay equations modeling human respiration. Zbl 0807.92007
Cooke, Kenneth L.; Turi, Janos
8
1994
One-dimensional linear and logistic harvesting models. Zbl 0611.92025
Cooke, Kenneth L.; Witten, Matthew
8
1986
Distributional and analytic solutions of functional differential equations. Zbl 0527.34069
Cooke, Kenneth L.; Wiener, Joseph
8
1984
Equations modelling population growth, economic growth, and gonorrhea epidemiology. Zbl 0317.92023
Cooke, Kenneth L.; Yorke, James A.
8
1972
On the limit of solutions of differential-difference equations as the retardation approaches zero. Zbl 0088.29803
Bellman, Richard; Cooke, Kenneth L.
8
1959
Applying Carvalho’s method to find periodic solutions of difference equations. Zbl 0856.39010
Cooke, Kenneth L.; Ladeira, Luiz A. C.
7
1996
Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080
Cooke, Kenneth L.; Wiener, Joseph
7
1986
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
Busenberg, Stavros N. (ed.); Cooke, Kenneth L. (ed.)
7
1981
On transcendental equations related to differential-difference equations. Zbl 0113.07405
Cooke, K. L.
6
1962
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
Stability of non-autonomous delay differential equations by Liapunov functionals. Zbl 0546.34059
Cooke, K. L.
5
1984
Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026
Busenberg, Stavros N.; Cooke, Kenneth L.
5
1979
A discrete-time epidemic model with classes of infectives and susceptibles. Zbl 0295.92016
Cooke, Kenneth L.
5
1975
Some recent work on functional-differential equations. Zbl 0175.15002
Cooke, K. L.
5
1967
Existence and uniqueness theorems in invariant imbedding. I: Conservation principles. Zbl 0142.22703
Bellman, R.; Cooke, K. L.; Kalaba, R.; Wing, G. M.
5
1965
On the sharpness of a theorem by Cooke and Verduyn Lunel. Zbl 0853.34058
Cooke, Kenneth L.; Derfel, Gregory
4
1996
Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068
Cooke, K. L.; Verduyn Lunel, Sjoerd M.
4
1993
Linear algebra with differential equations. Zbl 0337.34001
Bentley, Donald L.; Cooke, Kenneth L.
4
1973
Forced periodic solutions of a stable non-linear differential-difference equation. Zbl 0066.33504
Cooke, K. L.
4
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
Coexistence of analytic and distributional solutions for linear differential equations. I. Zbl 0719.34020
Wiener, Joseph; Cooke, Kenneth L.
3
1990
Harvesting procedures with management policy in iterative density-dependent population models. Zbl 0850.92070
Cooke, Kenneth L.; Elderkin, Richard; Witten, Matthew
3
1988
Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024
Cooke, Kenneth L.
3
1982
Asymptotic equivalence of an ordinary and a functional differential equation. Zbl 0304.34073
Cooke, Kenneth L.
3
1975
The shortest route through a network with time-dependent internodal transit times. Zbl 0181.19303
Cooke, K. L.; Halsey, E.
3
1966
The rate of increase of real continuous solutions of certain algebraic functional equations. Zbl 0088.09202
Cooke, K. L.
3
1959
Collapsible backward continuation and numerical approximations in a functional differential equation. Zbl 0911.34063
Carvalho, L. A. V.; Cooke, Kenneth L.
2
1998
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
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 dichotomic maps for a class of differential-difference equations. Zbl 0724.34079
Carvalho, L. A. V.; Cooke, K. L.
2
1991
Stability and thresholds in some age-structured epidemics. Zbl 0686.92014
Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo
2
1989
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
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 1010.92503
Cooke, K.; van den Driessche, P.; Zou, X.
1
2002
Analysis of the complicated dynamics of some harvesting models. Zbl 0662.92016
Cooke, Kenneth L.; Nusse, Helena E.
1
1987
Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007
Cooke, Kenneth L.
1
1985
Infection models with asymptomatics. Zbl 0564.92014
Cooke, Kenneth L.
1
1985
Existence and uniqueness theorems in invariant imbedding. II: Convergence of a new difference algorithm. Zbl 0142.22801
Bellman, Richard; Cooke, Kenneth L.
1
1965
Convergence of successive approximations in the shortest route problem. Zbl 0132.14101
Bentley, D. L.; Cooke, K. L.
1
1965
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
8
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.
17
2004
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 1010.92503
Cooke, K.; van den Driessche, P.; Zou, X.
1
2002
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.
121
1999
Analyses of an antiviral immune response model with time delays. Zbl 0941.92015
Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan
12
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.
116
1996
On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075
Cooke, Kenneth L.; Huang, Wenzhang
43
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
14
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.
31
1994
Stability, instability in delay equations modeling human respiration. Zbl 0807.92007
Cooke, Kenneth L.; Turi, Janos
8
1994
Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021
Busenberg, Stavros; Cooke, Kenneth
110
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
69
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
15
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 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. 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.
52
1989
Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077
Wiener, Joseph; Cooke, Kenneth L.
37
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.
12
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.
11
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.
13
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
3
1988
An equation alternately of retarded and advanced type. Zbl 0628.34074
Cooke, Kenneth L.; Wiener, Joseph
37
1987
Neutral differential equations with piecewise constant arguments. Zbl 0639.34003
Cooke, Kenneth L.; Wiener, Joseph
9
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
108
1986
One-dimensional linear and logistic harvesting models. Zbl 0611.92025
Cooke, Kenneth L.; Witten, Matthew
8
1986
Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080
Cooke, Kenneth L.; Wiener, Joseph
7
1986
Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007
Cooke, Kenneth L.
1
1985
Infection models with asymptomatics. Zbl 0564.92014
Cooke, Kenneth L.
1
1985
Retarded differential equations with piecewise constant delays. Zbl 0557.34059
Cooke, Kenneth L.; Wiener, Joseph
165
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
8
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.
26
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
211
1982
Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018
Busenberg, Stavros; Cooke, Kenneth L.
87
1982
Vertically transmitted diseases. Zbl 0512.92017
Cooke, Kenneth L.; Busenberg, Stavros
11
1982
Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024
Cooke, Kenneth L.
3
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
Busenberg, Stavros N. (ed.); Cooke, Kenneth L. (ed.)
7
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.
32
1980
Stability analysis for a vector disease model. Zbl 0423.92029
Cooke, Kenneth L.
93
1979
Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026
Busenberg, Stavros N.; Cooke, Kenneth L.
5
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.
79
1976
An epidemic equation with immigration. Zbl 0335.92016
Cooke, Kenneth L.
22
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.
97
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.
8
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.
44
1968
Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301
Cooke, K. L.
31
1967
Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102
Cooke, K. L.
28
1967
Differential-difference equations. Translation from the English edition by A.M.Zverkin and G.A.Kamenskij. Zbl 0163.10501
Bellman, R.; Cooke, K. L.
26
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.
5
1967
The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601
Cooke, K. L.; Halsey, E.
41
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.
10
1966
The shortest route through a network with time-dependent internodal transit times. Zbl 0181.19303
Cooke, K. L.; Halsey, E.
3
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.
15
1965
Existence and uniqueness theorems in invariant imbedding. I: Conservation principles. Zbl 0142.22703
Bellman, R.; Cooke, K. L.; Kalaba, R.; Wing, G. M.
5
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
Convergence of successive approximations in the shortest route problem. Zbl 0132.14101
Bentley, D. L.; Cooke, K. L.
1
1965
Differential-difference equations. Zbl 0105.06402
Bellman, Richard; Cooke, Kenneth L.
922
1963
Differential-difference equations. Zbl 0132.30904
Cooke, K. L.
10
1963
On transcendental equations related to differential-difference equations. Zbl 0113.07405
Cooke, K. L.
6
1962
Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201
Bellman, R.; Cooke, K. L.
206
1960
Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102
Bellman, R.; Cooke, K. L.
118
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.
8
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.
9
1953
all top 5

Cited by 3,126 Authors

36 Cooke, Kenneth L.
29 Yuan, Rong
26 Wei, Junjie
20 Gyori, Istvan
19 Kharitonov, Vladimir Leonidovich
17 Akhmet, Marat Ubaydulla
15 Ma, Zhien
15 Wu, Jianhong
14 Chen, Lansun
14 Gumel, Abba B.
14 Hale, Jack Kenneth
14 Teng, Zhi-dong
13 Brauer, Fred
13 Cahlon, Baruch
13 Foryś, Urszula
13 Meng, Xinzhu
13 Niculescu, Silviu-Iulian
13 Wiener, Joseph
13 Zou, Xingfu
12 Pinto, Manuel
12 Zhang, Tailei
11 Castillo-Chavez, Carlos
11 Grebenshchikov, B. G.
11 Huang, Lihong
11 Jiang, Daqing
11 Partington, Jonathan R.
11 Ruan, Shigui
11 Stević, Stevo
11 Trofimchuk, Sergei I.
11 van den Driessche, Pauline
11 Yurko, Vjacheslav Anatoljevich
11 Zhao, Xiao-Qiang
10 Banks, Harvey Thomas
10 Gopalsamy, Kondalsamy
10 Hartung, Ferenc
10 Ivanov, Anatoli F.
10 Jin, Zhen
10 Ladas, Gerasimos E.
10 Liu, Mingzhu
10 Mukandavire, Zindoga
10 Xu, Rui
10 Yi, Taishan
9 Brunner, Hermann
9 Busenberg, Stavros N.
9 Datko, Richard F.
9 Hethcote, Herbert W.
9 Li, Xuezhi
9 Nussbaum, Roger David
9 Schmidt, Darrell
9 Song, Xinyu
9 Thieme, Horst R.
9 Wang, Lin
9 Zhang, Fengqin
8 Beretta, Edoardo
8 Boucekkine, Raouf
8 Garira, Winston S.
8 Greenhalgh, David
8 Huang, Wenzhang
8 Krisztin, Tibor
8 Langlais, Michel R.
8 Licandro, Omar
8 Liu, Junli
8 Liu, Qun
8 Liz, Eduardo
8 Ma, Wanbiao
8 Mondié, Sabine
8 Naresh, Ram
8 Si, Jianguo
8 Song, Minghui
8 Takeuchi, Yasuhiro
8 Wang, Wendi
8 Yorke, James Alan
7 Amiraliyev, Gabil M.
7 Bacaër, Nicolas
7 Bellman, Richard Ernest
7 Bereketoglu, Huseyin
7 Bodnar, Marek
7 Burton, Theodore Allen
7 Chiu, Kuo-Shou
7 Cui, Jingan
7 Ding, Huisheng
7 Liao, Xiaofeng
7 Lillo, James C.
7 Malygina, V. V.
7 Rezunenko, Oleksandr V”yacheslavovych
7 Sficas, Yiannis G.
7 Tripathi, Agraj
7 Xia, Yonghui
7 Zhang, Tonghua
7 Zhang, Weinian
7 Zhu, Huaiping
6 Ait Dads, El Hadi
6 Bainov, Drumi Dimitrov
6 Baker, Christopher T. H.
6 Boussaada, Islam
6 Chen, Yuming
6 Fan, Guihong
6 Guo, Songtao
6 Karakoç, Fatma
6 Kolmanovskii, Vladimir Borisovich
...and 3,026 more Authors
all top 5

Cited in 352 Serials

274 Journal of Mathematical Analysis and Applications
131 Applied Mathematics and Computation
124 Mathematical Biosciences
105 Journal of Differential Equations
68 Journal of Mathematical Biology
53 Journal of Computational and Applied Mathematics
53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
52 Automatica
51 Nonlinear Analysis. Real World Applications
51 Nonlinear Analysis. Theory, Methods & Applications
48 Chaos, Solitons and Fractals
45 Mathematical and Computer Modelling
42 Computers & Mathematics with Applications
36 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
35 Bulletin of Mathematical Biology
35 Applied Mathematics Letters
35 Applied Mathematical Modelling
32 Systems & Control Letters
29 Advances in Difference Equations
25 Journal of Dynamics and Differential Equations
25 Journal of Difference Equations and Applications
24 Abstract and Applied Analysis
24 International Journal of Biomathematics
22 Journal of Mathematical Sciences (New York)
22 Nonlinear Dynamics
21 International Journal of Control
21 Discrete and Continuous Dynamical Systems. Series B
20 Mathematical Biosciences and Engineering
20 Journal of Theoretical Biology
19 Applicable Analysis
19 Applied Numerical Mathematics
18 International Journal of Systems Science
18 Theoretical Population Biology
18 Russian Mathematics
17 Journal of the Franklin Institute
17 Journal of Optimization Theory and Applications
17 Proceedings of the American Mathematical Society
15 Physica D
15 Chaos
15 Discrete Dynamics in Nature and Society
15 Communications in Nonlinear Science and Numerical Simulation
15 International Journal of Control, I. Series
15 Journal of Biological Dynamics
14 Ukrainian Mathematical Journal
14 International Journal of Computer Mathematics
12 Mathematical Methods in the Applied Sciences
12 Tohoku Mathematical Journal. Second Series
12 Acta Applicandae Mathematicae
12 Differential Equations
12 Journal of Applied Mathematics
11 Rocky Mountain Journal of Mathematics
11 Mathematics and Computers in Simulation
11 Cybernetics and Systems Analysis
11 Mathematical Problems in Engineering
10 Siberian Mathematical Journal
10 Transactions of the American Mathematical Society
10 Mathematical Population Studies
10 Journal of Applied Mathematics and Computing
9 Acta Mathematica Sinica. English Series
8 Mathematical Notes
8 European Journal of Operational Research
8 Journal of Biological Systems
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Acta Mathematicae Applicatae Sinica. English Series
7 Numerical Algorithms
7 Communications on Pure and Applied Analysis
7 Proceedings of the Steklov Institute of Mathematics
6 Physica A
6 Mathematics of Computation
6 Journal of Economic Theory
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 Journal of Integral Equations and Applications
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Journal of Nonlinear Science
6 Computational and Applied Mathematics
6 Advances in Computational Mathematics
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Periodica Mathematica Hungarica
5 Prikladnaya Matematika i Mekhanika
5 Journal of Soviet Mathematics
5 Quarterly of Applied Mathematics
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 SIAM Journal on Control and Optimization
5 Science in China. Series A
5 SIAM Journal on Applied Mathematics
5 Journal of Computer and Systems Sciences International
5 Complexity
5 Differential Equations and Dynamical Systems
4 Biological Cybernetics
4 Bulletin of the Australian Mathematical Society
4 Journal of Applied Mathematics and Mechanics
4 Journal of Mathematical Physics
4 Advances in Mathematics
4 International Journal of Mathematics and Mathematical Sciences
...and 252 more Serials
all top 5

Cited in 52 Fields

1,527 Ordinary differential equations (34-XX)
991 Biology and other natural sciences (92-XX)
349 Systems theory; control (93-XX)
275 Numerical analysis (65-XX)
230 Partial differential equations (35-XX)
199 Dynamical systems and ergodic theory (37-XX)
181 Integral equations (45-XX)
128 Difference and functional equations (39-XX)
101 Operator theory (47-XX)
89 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
72 Probability theory and stochastic processes (60-XX)
66 Operations research, mathematical programming (90-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
42 Computer science (68-XX)
31 Real functions (26-XX)
23 Mechanics of particles and systems (70-XX)
22 Functions of a complex variable (30-XX)
21 Functional analysis (46-XX)
21 Mechanics of deformable solids (74-XX)
17 Fluid mechanics (76-XX)
15 Combinatorics (05-XX)
14 Integral transforms, operational calculus (44-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Special functions (33-XX)
10 Approximations and expansions (41-XX)
10 Statistics (62-XX)
7 Number theory (11-XX)
6 General and overarching topics; collections (00-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Information and communication theory, circuits (94-XX)
5 Abstract harmonic analysis (43-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Optics, electromagnetic theory (78-XX)
3 General topology (54-XX)
2 History and biography (01-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Differential geometry (53-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year