Edit Profile (opens in new tab) Cooke, Kenneth L. Compute Distance To: Compute Author ID: cooke.kenneth-l Published as: Cooke, Kenneth L.; Cooke, K. L.; Cooke, Kenneth; Cooke, K. more...less 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 Co-Authors 25 single-authored 14 Busenberg, Stavros N. 11 Bellman, Richard Ernest 9 Wiener, Joseph 8 Huang, Wenzhang 7 Carvalho, Luiz A. V. 6 Castillo-Chavez, Carlos 5 van den Driessche, Pauline 4 Ladeira, Luiz A. C. 4 Levin, Simon Asher 3 Thieme, Horst R. 2 Bentley, Donald L. 2 Elderkin, Richard H. 2 Halsey, Eric 2 Hsieh, Ying-Hen 2 Iannelli, Mimmo 2 Kaplan, James L. 2 Turi, Janos 2 Witten, Matthew 2 Yorke, James Alan 2 Zou, Xingfu 1 Alden, J. R. 1 Ammerman, A. J. 1 Arino, Julien 1 Brenner, Joël Lee 1 Cavalli-Sforza, Luigi Luca 1 Chadwick, A. J. 1 Cumberbatch, Ellis 1 Derfel, Gregory 1 Distefano, Nestor 1 Eighmy, L. 1 Ferreira, José Manuel 1 Gerardin, L. A. 1 Grossman, Zvi 1 Gyori, Istvan 1 Hodder, James E. 1 Ivanov, Anatoli F. 1 Kalaba, Robert E. 1 Kashef, Bayesteh 1 Keene, A. S. 1 Krumme, David W. 1 Kuang, Yang 1 Level, E. C. 1 Li, Bingtuan 1 Ludwig, Donald 1 Martelli, Mario 1 Meyer, Kenneth R. 1 Nusse, Helena Engelina 1 Plog, F. 1 Poston, Timothy 1 Pozio, Maria Assunta 1 Renfrew, Colin 1 Rossovskiĭ, Leonid Efimovich 1 Schiffer, M. B. 1 Shah, Swarupchand M. 1 Skubachevskiĭ, Aleksandr Leonidovich 1 Sorg, Michael 1 Tang, Betty K. P. 1 Velasco-Hernandez, Jorge X. 1 Verduyn Lunel, Sjoerd M. 1 Wing, George Milton 1 Zeeman, Erik Christopher 1 Zeigler, Bernard P. 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 all top 5 Fields 54 Ordinary differential equations (34-XX) 45 Biology and other natural sciences (92-XX) 7 Partial differential equations (35-XX) 7 Difference and functional equations (39-XX) 6 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 3,278 times in 2,651 Documents Cited by ▼ Year ▼ Differential-difference equations. Zbl 0105.06402Bellman, Richard; Cooke, Kenneth L. 556 1963 Discrete delay, distributed delay and stability switches. Zbl 0492.34064Cooke, Kenneth L.; Grossman, Zvi 228 1982 Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201Bellman, R.; Cooke, K. L. 205 1960 Retarded differential equations with piecewise constant delays. Zbl 0557.34059Cooke, Kenneth L.; Wiener, Joseph 189 1984 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016Cooke, K.; van den Driessche, P.; Zou, X. 142 1999 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019Cooke, K. L.; van den Driessche, P. 137 1996 Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021Busenberg, Stavros; Cooke, Kenneth 122 1993 On zeroes of some transcendental equations. Zbl 0603.34069Cooke, Kenneth L.; van den Driessche, Pauline 112 1986 Stability analysis for a vector disease model. Zbl 0423.92029Cooke, Kenneth L. 103 1979 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011Cooke, Kenneth L.; Yorke, James A. 98 1973 Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102Bellman, R.; Cooke, K. L. 98 1959 Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission. Zbl 0769.92023Huang, Wenzhang; Cooke, Kenneth L.; Castillo-Chavez, Carlos 81 1992 A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012Cooke, Kenneth L.; Kaplan, James L. 80 1976 A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045Cooke, Kenneth L.; Wiener, Joseph 68 1991 Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018Busenberg, 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 0715.92029Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A. 49 1989 On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075Cooke, Kenneth L.; Huang, Wenzhang 47 1996 Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations. Zbl 0186.16902Cooke, K. L.; Krumme, D. W. 47 1968 The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601Cooke, K. L.; Halsey, E. 44 1966 An equation alternately of retarded and advanced type. Zbl 0628.34074Cooke, Kenneth L.; Wiener, Joseph 40 1987 Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077Wiener, Joseph; Cooke, Kenneth L. 40 1989 Endemic thresholds and stability in a class of age-structured epidemics. Zbl 0666.92013Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo 37 1988 The effect of integral conditions in certain equations modelling epidemics and population growth. Zbl 0464.92022Busenberg, Stavros; Cooke, Kenneth L. 36 1980 Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments. Zbl 0809.65074Cooke, K. L.; Györi, I. 35 1994 Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102Cooke, 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 0163.10501Bellman, R.; Cooke, K. L. 28 1967 Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301Cooke, K. L. 28 1967 Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus. Zbl 0703.92022Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A. 28 1989 Analysis of a model of a vertically transmitted disease. Zbl 0518.92024Busenberg, S.; Cooke, K. L.; Pozio, M. A. 27 1983 An epidemic equation with immigration. Zbl 0335.92016Cooke, Kenneth L. 26 1976 Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022Busenberg, Stavros; Cooke, Kenneth L. 22 1978 An epidemiology model that includes a leaky vaccine with a general waning function. Zbl 1040.92035Arino, 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 0138.32103Bellman, R.; Cooke, K. L. 22 1965 Linear functional differential equations of asymptotically autonomous type. Zbl 0185.18001Cooke, K. L. 19 1970 Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059Busenberg, Stavros N.; Cooke, Kenneth L. 19 1984 Functional differential equations close to differential equations. Zbl 0151.10401Cooke, K. L. 17 1966 A model for HIV in Asia. Zbl 0833.92016Busenberg, Stavros; Cooke, Kenneth; Hsieh, Ying-Hen 15 1995 Stability theory and adjoint operators for linear differential-difference equations. Zbl 0090.29802Bellman, Richard; Cooke, Kenneth L. 15 1959 A nonlinear equation with piecewise continuous argument. Zbl 0723.34061Carvalho, L. A. V.; Cooke, Kenneth L. 14 1988 The condition of regular degeneration for singularly perturbed linear differential-difference equations. Zbl 0151.10303Cooke, K. L. 12 1965 The population dynamics of two vertically transmitted infections. Zbl 0638.92009Busenberg, Stavros; Cooke, Kenneth L. 12 1988 Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst 12 1991 On the discretization of a delay differential equation. Zbl 0954.39003Cooke, Kenneth L.; Ivanov, Anatoli F. 11 2000 Analyses of an antiviral immune response model with time delays. Zbl 0941.92015Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan 11 1998 Vertically transmitted diseases. Zbl 0512.92017Cooke, Kenneth L.; Busenberg, Stavros 10 1982 Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang 10 2006 Stability, instability in delay equations modeling human respiration. Zbl 0807.92007Cooke, Kenneth L.; Turi, Janos 9 1994 Equations modelling population growth, economic growth, and gonorrhea epidemiology. Zbl 0317.92023Cooke, Kenneth L.; Yorke, James A. 9 1972 A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042Cooke, Kenneth L.; Huang, Wenzhang 9 1992 The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations. Zbl 0142.05802Cooke, Kenneth L.; Meyer, Kenneth R. 9 1966 Functional differential equations with asymptotically vanishing lag. Zbl 0169.47503Cooke, K. L. 9 1967 Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080Cooke, Kenneth L.; Wiener, Joseph 9 1986 One-dimensional linear and logistic harvesting models. Zbl 0611.92025Cooke, Kenneth L.; Witten, Matthew 9 1986 Stability conditions for linear retarded functional differential equations. Zbl 0526.34057Cooke, Kenneth L.; Ferreira, Jose M. 9 1983 The asymptotic behavior of the solution of linear and nonlinear differential-difference equations. Zbl 0051.32101Cooke, K. L. 8 1953 The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS). Zbl 0682.92013Castillo-Chavez, Carlos; Cooke, Kenneth; Huang, Wenzhang; Levin, Simon A. 8 1989 Applying Carvalho’s method to find periodic solutions of difference equations. Zbl 0856.39010Cooke, Kenneth L.; Ladeira, Luiz A. C. 7 1996 On the limit of solutions of differential-difference equations as the retardation approaches zero. Zbl 0088.29803Bellman, Richard; Cooke, Kenneth L. 7 1959 Neutral differential equations with piecewise constant arguments. Zbl 0639.34003Cooke, Kenneth L.; Wiener, Joseph 7 1987 Distributional and analytic solutions of functional differential equations. Zbl 0527.34069Cooke, Kenneth L.; Wiener, Joseph 7 1984 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023Hsien, Ying-Hen; Cooke, Kenneth 5 2000 A boundary value problem for a functional-differential equation with a linearly transformed argument. Zbl 0863.34070Cooke, K.; Rossovskiĭ, L. E.; Skubachevskiĭ, A. L. 5 1995 A discrete-time epidemic model with classes of infectives and susceptibles. Zbl 0295.92016Cooke, Kenneth L. 5 1975 Stability of non-autonomous delay differential equations by Liapunov functionals. Zbl 0546.34059Cooke, K. L. 5 1984 On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). II: Multiple group models. Zbl 0705.92018Castillo-Chavez, Carlos; Cooke, Kenneth L.; Huang, Wenzhang; Levin, Simon A. 5 1989 Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024Cooke, Kenneth L. 5 1982 Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068Cooke, K. L.; Verduyn Lunel, Sjoerd M. 4 1993 On the sharpness of a theorem by Cooke and Verduyn Lunel. Zbl 0853.34058Cooke, Kenneth L.; Derfel, Gregory 4 1996 Differential-difference equations. Zbl 0132.30904Cooke, K. L. 4 1963 Existence and uniqueness theorems in invariant imbedding. I: Conservation principles. Zbl 0142.22703Bellman, R.; Cooke, K. L.; Kalaba, R.; Wing, G. M. 4 1965 Some recent work on functional-differential equations. Zbl 0175.15002Cooke, K. L. 4 1967 Linear algebra with differential equations. Zbl 0337.34001Bentley, 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 0056.31205Cooke, K. L. 4 1954 Forced periodic solutions of a stable non-linear differential-difference equation. Zbl 0066.33504Cooke, K. L. 4 1955 Harvesting procedures with management policy in iterative density-dependent population models. Zbl 0850.92070Cooke, Kenneth L.; Elderkin, Richard; Witten, Matthew 4 1988 Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026Busenberg, Stavros N.; Cooke, Kenneth L. 3 1979 Asymptotic equivalence of an ordinary and a functional differential equation. Zbl 0304.34073Cooke, Kenneth L. 3 1975 The rate of increase of real continuous solutions of certain algebraic functional equations. Zbl 0088.09202Cooke, K. L. 3 1959 Coexistence of analytic and distributional solutions for linear differential equations. I. Zbl 0719.34020Wiener, 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 0776.93073Cooke, K. L.; Turi, J.; Turner, G. 2 1993 Collapsible backward continuation and numerical approximations in a functional differential equation. Zbl 0911.34063Carvalho, 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 0473.34044Cooke, Kenneth L.; Kaplan, James L.; Sorg, M. 2 1981 On a class of hereditary processes in biomechanics. Zbl 0251.92002Cooke, Kenneth L.; Distefano, Nestor; Kashef, Bayesteh 2 1973 The Königsberg bridges problem generalized. Zbl 0187.21505Bellman, R.; Cooke, K. L. 2 1969 Stability and thresholds in some age-structured epidemics. Zbl 0686.92014Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo 2 1989 On dichotomic maps for a class of differential-difference equations. Zbl 0724.34079Carvalho, L. A. V.; Cooke, K. L. 2 1991 Coexistence of analytic and distributional solutions for linear differential equations. II. Zbl 0734.34015Wiener, Joseph; Cooke, Kenneth L.; Shah, S. M. 2 1991 On transcendental equations related to differential-difference equations. Zbl 0113.07405Cooke, K. L. 1 1962 Convergence of successive approximations in the shortest route problem. Zbl 0132.14101Bentley, D. L.; Cooke, K. L. 1 1965 Existence and uniqueness theorems in invariant imbedding. II: Convergence of a new difference algorithm. Zbl 0142.22801Bellman, Richard; Cooke, Kenneth L. 1 1965 Analysis of the complicated dynamics of some harvesting models. Zbl 0662.92016Cooke, Kenneth L.; Nusse, Helena E. 1 1987 Infection models with asymptomatics. Zbl 0564.92014Cooke, Kenneth L. 1 1985 Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007Cooke, Kenneth L. 1 1985 A nonlocal existence theorem for systems of ordinary differential equations. Zbl 0068.29403Cooke, K. L. 1 1955 Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang 10 2006 An epidemiology model that includes a leaky vaccine with a general waning function. Zbl 1040.92035Arino, Julien; Cooke, K. L.; van den Driessche, P.; Velasco-Hernández, J. 22 2004 On the discretization of a delay differential equation. Zbl 0954.39003Cooke, Kenneth L.; Ivanov, Anatoli F. 11 2000 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023Hsien, Ying-Hen; Cooke, Kenneth 5 2000 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016Cooke, K.; van den Driessche, P.; Zou, X. 142 1999 Analyses of an antiviral immune response model with time delays. Zbl 0941.92015Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan 11 1998 Collapsible backward continuation and numerical approximations in a functional differential equation. Zbl 0911.34063Carvalho, L. A. V.; Cooke, Kenneth L. 2 1998 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019Cooke, K. L.; van den Driessche, P. 137 1996 On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075Cooke, Kenneth L.; Huang, Wenzhang 47 1996 Applying Carvalho’s method to find periodic solutions of difference equations. Zbl 0856.39010Cooke, Kenneth L.; Ladeira, Luiz A. C. 7 1996 On the sharpness of a theorem by Cooke and Verduyn Lunel. Zbl 0853.34058Cooke, Kenneth L.; Derfel, Gregory 4 1996 A model for HIV in Asia. Zbl 0833.92016Busenberg, Stavros; Cooke, Kenneth; Hsieh, Ying-Hen 15 1995 A boundary value problem for a functional-differential equation with a linearly transformed argument. Zbl 0863.34070Cooke, 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 0809.65074Cooke, K. L.; Györi, I. 35 1994 Stability, instability in delay equations modeling human respiration. Zbl 0807.92007Cooke, Kenneth L.; Turi, Janos 9 1994 Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021Busenberg, Stavros; Cooke, Kenneth 122 1993 Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068Cooke, 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 0776.93073Cooke, K. L.; Turi, J.; Turner, G. 2 1993 Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission. Zbl 0769.92023Huang, Wenzhang; Cooke, Kenneth L.; Castillo-Chavez, Carlos 81 1992 A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042Cooke, Kenneth L.; Huang, Wenzhang 9 1992 A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045Cooke, Kenneth L.; Wiener, Joseph 68 1991 Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst 12 1991 On dichotomic maps for a class of differential-difference equations. Zbl 0724.34079Carvalho, L. A. V.; Cooke, K. L. 2 1991 Coexistence of analytic and distributional solutions for linear differential equations. II. Zbl 0734.34015Wiener, Joseph; Cooke, Kenneth L.; Shah, S. M. 2 1991 Coexistence of analytic and distributional solutions for linear differential equations. I. Zbl 0719.34020Wiener, 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 0715.92029Castillo-Chavez, C.; Cooke, K.; Huang, W.; Levin, S. A. 49 1989 Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077Wiener, Joseph; Cooke, Kenneth L. 40 1989 Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus. Zbl 0703.92022Castillo-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 0682.92013Castillo-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 0705.92018Castillo-Chavez, Carlos; Cooke, Kenneth L.; Huang, Wenzhang; Levin, Simon A. 5 1989 Stability and thresholds in some age-structured epidemics. Zbl 0686.92014Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo 2 1989 Endemic thresholds and stability in a class of age-structured epidemics. Zbl 0666.92013Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo 37 1988 A nonlinear equation with piecewise continuous argument. Zbl 0723.34061Carvalho, L. A. V.; Cooke, Kenneth L. 14 1988 The population dynamics of two vertically transmitted infections. Zbl 0638.92009Busenberg, Stavros; Cooke, Kenneth L. 12 1988 Harvesting procedures with management policy in iterative density-dependent population models. Zbl 0850.92070Cooke, Kenneth L.; Elderkin, Richard; Witten, Matthew 4 1988 An equation alternately of retarded and advanced type. Zbl 0628.34074Cooke, Kenneth L.; Wiener, Joseph 40 1987 Neutral differential equations with piecewise constant arguments. Zbl 0639.34003Cooke, Kenneth L.; Wiener, Joseph 7 1987 Analysis of the complicated dynamics of some harvesting models. Zbl 0662.92016Cooke, Kenneth L.; Nusse, Helena E. 1 1987 On zeroes of some transcendental equations. Zbl 0603.34069Cooke, Kenneth L.; van den Driessche, Pauline 112 1986 Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080Cooke, Kenneth L.; Wiener, Joseph 9 1986 One-dimensional linear and logistic harvesting models. Zbl 0611.92025Cooke, Kenneth L.; Witten, Matthew 9 1986 Infection models with asymptomatics. Zbl 0564.92014Cooke, Kenneth L. 1 1985 Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007Cooke, Kenneth L. 1 1985 Retarded differential equations with piecewise constant delays. Zbl 0557.34059Cooke, Kenneth L.; Wiener, Joseph 189 1984 Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059Busenberg, Stavros N.; Cooke, Kenneth L. 19 1984 Distributional and analytic solutions of functional differential equations. Zbl 0527.34069Cooke, Kenneth L.; Wiener, Joseph 7 1984 Stability of non-autonomous delay differential equations by Liapunov functionals. Zbl 0546.34059Cooke, K. L. 5 1984 Analysis of a model of a vertically transmitted disease. Zbl 0518.92024Busenberg, S.; Cooke, K. L.; Pozio, M. A. 27 1983 Stability conditions for linear retarded functional differential equations. Zbl 0526.34057Cooke, Kenneth L.; Ferreira, Jose M. 9 1983 Discrete delay, distributed delay and stability switches. Zbl 0492.34064Cooke, Kenneth L.; Grossman, Zvi 228 1982 Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018Busenberg, Stavros; Cooke, Kenneth L. 54 1982 Vertically transmitted diseases. Zbl 0512.92017Cooke, Kenneth L.; Busenberg, Stavros 10 1982 Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024Cooke, 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 0473.34044Cooke, Kenneth L.; Kaplan, James L.; Sorg, M. 2 1981 The effect of integral conditions in certain equations modelling epidemics and population growth. Zbl 0464.92022Busenberg, Stavros; Cooke, Kenneth L. 36 1980 Stability analysis for a vector disease model. Zbl 0423.92029Cooke, Kenneth L. 103 1979 Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026Busenberg, Stavros N.; Cooke, Kenneth L. 3 1979 Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022Busenberg, Stavros; Cooke, Kenneth L. 22 1978 A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012Cooke, Kenneth L.; Kaplan, James L. 80 1976 An epidemic equation with immigration. Zbl 0335.92016Cooke, Kenneth L. 26 1976 A discrete-time epidemic model with classes of infectives and susceptibles. Zbl 0295.92016Cooke, Kenneth L. 5 1975 Asymptotic equivalence of an ordinary and a functional differential equation. Zbl 0304.34073Cooke, Kenneth L. 3 1975 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011Cooke, Kenneth L.; Yorke, James A. 98 1973 Linear algebra with differential equations. Zbl 0337.34001Bentley, Donald L.; Cooke, Kenneth L. 4 1973 On a class of hereditary processes in biomechanics. Zbl 0251.92002Cooke, Kenneth L.; Distefano, Nestor; Kashef, Bayesteh 2 1973 Equations modelling population growth, economic growth, and gonorrhea epidemiology. Zbl 0317.92023Cooke, Kenneth L.; Yorke, James A. 9 1972 Linear functional differential equations of asymptotically autonomous type. Zbl 0185.18001Cooke, K. L. 19 1970 The Königsberg bridges problem generalized. Zbl 0187.21505Bellman, R.; Cooke, K. L. 2 1969 Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations. Zbl 0186.16902Cooke, K. L.; Krumme, D. W. 47 1968 Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102Cooke, 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 0163.10501Bellman, R.; Cooke, K. L. 28 1967 Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301Cooke, K. L. 28 1967 Functional differential equations with asymptotically vanishing lag. Zbl 0169.47503Cooke, K. L. 9 1967 Some recent work on functional-differential equations. Zbl 0175.15002Cooke, K. L. 4 1967 The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601Cooke, K. L.; Halsey, E. 44 1966 Functional differential equations close to differential equations. Zbl 0151.10401Cooke, K. L. 17 1966 The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations. Zbl 0142.05802Cooke, Kenneth L.; Meyer, Kenneth R. 9 1966 On the computational solution of a class of functional differential equations. Zbl 0138.32103Bellman, R.; Cooke, K. L. 22 1965 The condition of regular degeneration for singularly perturbed linear differential-difference equations. Zbl 0151.10303Cooke, K. L. 12 1965 Existence and uniqueness theorems in invariant imbedding. I: Conservation principles. Zbl 0142.22703Bellman, R.; Cooke, K. L.; Kalaba, R.; Wing, G. M. 4 1965 Convergence of successive approximations in the shortest route problem. Zbl 0132.14101Bentley, D. L.; Cooke, K. L. 1 1965 Existence and uniqueness theorems in invariant imbedding. II: Convergence of a new difference algorithm. Zbl 0142.22801Bellman, Richard; Cooke, Kenneth L. 1 1965 Differential-difference equations. Zbl 0105.06402Bellman, Richard; Cooke, Kenneth L. 556 1963 Differential-difference equations. Zbl 0132.30904Cooke, K. L. 4 1963 On transcendental equations related to differential-difference equations. Zbl 0113.07405Cooke, K. L. 1 1962 Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201Bellman, R.; Cooke, K. L. 205 1960 Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102Bellman, R.; Cooke, K. L. 98 1959 Stability theory and adjoint operators for linear differential-difference equations. Zbl 0090.29802Bellman, Richard; Cooke, Kenneth L. 15 1959 On the limit of solutions of differential-difference equations as the retardation approaches zero. Zbl 0088.29803Bellman, Richard; Cooke, Kenneth L. 7 1959 The rate of increase of real continuous solutions of certain algebraic functional equations. Zbl 0088.09202Cooke, K. L. 3 1959 Forced periodic solutions of a stable non-linear differential-difference equation. Zbl 0066.33504Cooke, K. L. 4 1955 A nonlocal existence theorem for systems of ordinary differential equations. Zbl 0068.29403Cooke, K. L. 1 1955 The rate of increase of real continuous solutions of algebraic differential-difference equations of the first order. Zbl 0056.31205Cooke, K. L. 4 1954 The asymptotic behavior of the solution of linear and nonlinear differential-difference equations. Zbl 0051.32101Cooke, K. L. 8 1953 all cited Publications top 5 cited Publications 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) Citations by Year