Edit Profile (opens in new tab) Cooke, Kenneth L. Co-Author Distance Author ID: cooke.kenneth-l Published as: Cooke, Kenneth L.; Cooke, K. L.; Cooke, Kenneth; Cooke, K. more...less External Links: MGP Documents Indexed: 105 Publications since 1953, including 5 Books 4 Contributions as Editor Biographic References: 3 Publications Co-Authors: 48 Co-Authors with 84 Joint Publications 1,639 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 Rosen, Robert 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 Operations research, mathematical programming (90-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 4,175 times in 3,335 Documents Cited by ▼ Year ▼ Differential-difference equations. Zbl 0105.06402 Bellman, Richard; Cooke, Kenneth L. 954 1963 Discrete delay, distributed delay and stability switches. Zbl 0492.34064 Cooke, Kenneth L.; Grossman, Zvi 275 1982 Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201 Bellman, R.; Cooke, K. L. 213 1960 Retarded differential equations with piecewise constant delays. Zbl 0557.34059 Cooke, Kenneth L.; Wiener, Joseph 200 1984 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016 Cooke, K.; van den Driessche, P.; Zou, X. 166 1999 Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021 Busenberg, Stavros; Cooke, Kenneth 156 1993 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019 Cooke, K. L.; van den Driessche, P. 156 1996 On zeroes of some transcendental equations. Zbl 0603.34069 Cooke, Kenneth L.; van den Driessche, Pauline 151 1986 Stability analysis for a vector disease model. Zbl 0423.92029 Cooke, Kenneth L. 124 1979 Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018 Busenberg, Stavros; Cooke, Kenneth L. 115 1982 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011 Cooke, Kenneth L.; Yorke, James A. 114 1973 Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102 Bellman, R.; Cooke, K. L. 100 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 95 1992 A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012 Cooke, Kenneth L.; Kaplan, James L. 90 1976 A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045 Cooke, Kenneth L.; Wiener, Joseph 78 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. 58 1989 The shortest route through a network with time-dependent internodal transit times. Zbl 0173.47601 Cooke, K. L.; Halsey, E. 55 1966 Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations. Zbl 0186.16902 Cooke, K. L.; Krumme, D. W. 53 1968 On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075 Cooke, Kenneth L.; Huang, Wenzhang 50 1996 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. 48 1967 Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077 Wiener, Joseph; Cooke, Kenneth L. 44 1989 An equation alternately of retarded and advanced type. Zbl 0628.34074 Cooke, Kenneth L.; Wiener, Joseph 43 1987 Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301 Cooke, K. L. 40 1967 Endemic thresholds and stability in a class of age-structured epidemics. Zbl 0666.92013 Busenberg, Stavros; Cooke, Kenneth; Iannelli, Mimmo 39 1988 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. 37 1994 The effect of integral conditions in certain equations modelling epidemics and population growth. Zbl 0464.92022 Busenberg, Stavros; Cooke, Kenneth L. 36 1980 An epidemic equation with immigration. Zbl 0335.92016 Cooke, Kenneth L. 33 1976 Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102 Cooke, K. L. 33 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. 31 1989 Analysis of a model of a vertically transmitted disease. Zbl 0518.92024 Busenberg, S.; Cooke, K. L.; Pozio, M. A. 30 1983 Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022 Busenberg, Stavros; Cooke, Kenneth L. 26 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. 26 2004 On the computational solution of a class of functional differential equations. Zbl 0138.32103 Bellman, R.; Cooke, K. L. 23 1965 Vertically transmitted diseases. Zbl 0512.92017 Cooke, Kenneth L.; Busenberg, Stavros 20 1982 Analyses of an antiviral immune response model with time delays. Zbl 0941.92015 Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan 20 1998 Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059 Busenberg, Stavros N.; Cooke, Kenneth L. 20 1984 Linear functional differential equations of asymptotically autonomous type. Zbl 0185.18001 Cooke, K. L. 19 1970 Differential-difference equations. Zbl 0132.30904 Cooke, K. L. 17 1963 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 16 1995 A nonlinear equation with piecewise continuous argument. Zbl 0723.34061 Carvalho, L. A. V.; Cooke, Kenneth L. 16 1988 Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014 Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst 15 1991 Stability theory and adjoint operators for linear differential-difference equations. Zbl 0090.29802 Bellman, Richard; Cooke, Kenneth L. 15 1959 One-dimensional linear and logistic harvesting models. Zbl 0611.92025 Cooke, Kenneth L.; Witten, Matthew 14 1986 The population dynamics of two vertically transmitted infections. Zbl 0638.92009 Busenberg, Stavros; Cooke, Kenneth L. 14 1988 Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047 Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang 12 2006 Stability, instability in delay equations modeling human respiration. Zbl 0807.92007 Cooke, Kenneth L.; Turi, Janos 12 1994 The condition of regular degeneration for singularly perturbed linear differential-difference equations. Zbl 0151.10303 Cooke, K. L. 12 1965 A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042 Cooke, Kenneth L.; Huang, Wenzhang 12 1992 On the discretization of a delay differential equation. Zbl 0954.39003 Cooke, Kenneth L.; Ivanov, Anatoli F. 12 2000 Equations modelling population growth, economic growth, and gonorrhea epidemiology. Zbl 0317.92023 Cooke, Kenneth L.; Yorke, James A. 11 1972 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 conditions for linear retarded functional differential equations. Zbl 0526.34057 Cooke, Kenneth L.; Ferreira, Jose M. 10 1983 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 9 1981 Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080 Cooke, Kenneth L.; Wiener, Joseph 9 1986 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 Distributional and analytic solutions of functional differential equations. Zbl 0527.34069 Cooke, Kenneth L.; Wiener, Joseph 8 1984 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 Stability of non-autonomous delay differential equations by Liapunov functionals. Zbl 0546.34059 Cooke, K. L. 8 1984 Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026 Busenberg, Stavros N.; Cooke, Kenneth L. 7 1979 Applying Carvalho’s method to find periodic solutions of difference equations. Zbl 0856.39010 Cooke, Kenneth L.; Ladeira, Luiz A. C. 7 1996 Neutral differential equations with piecewise constant arguments. Zbl 0639.34003 Cooke, Kenneth L.; Wiener, Joseph 7 1987 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. 7 1995 On the limit of solutions of differential-difference equations as the retardation approaches zero. Zbl 0088.29803 Bellman, Richard; Cooke, Kenneth L. 7 1959 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023 Hsien, Ying-Hen; Cooke, Kenneth 6 2000 Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068 Cooke, K. L.; Verduyn Lunel, Sjoerd M. 5 1993 Models for endemic infections with asymptotic cases. I. One group. Zbl 0519.92024 Cooke, Kenneth L. 5 1982 On the sharpness of a theorem by Cooke and Verduyn Lunel. Zbl 0853.34058 Cooke, Kenneth L.; Derfel, Gregory 5 1996 Some recent work on functional-differential equations. Zbl 0175.15002 Cooke, K. L. 5 1967 A discrete-time epidemic model with classes of infectives and susceptibles. Zbl 0295.92016 Cooke, Kenneth L. 5 1975 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 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 Harvesting procedures with management policy in iterative density-dependent population models. Zbl 0850.92070 Cooke, Kenneth L.; Elderkin, Richard; Witten, Matthew 4 1988 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 Asymptotic equivalence of an ordinary and a functional differential equation. Zbl 0304.34073 Cooke, Kenneth L. 3 1975 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 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 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 Collapsible backward continuation and numerical approximations in a functional differential equation. Zbl 0911.34063 Carvalho, L. A. V.; Cooke, Kenneth L. 2 1998 Coexistence of analytic and distributional solutions for linear differential equations. II. Zbl 0734.34015 Wiener, Joseph; Cooke, Kenneth L.; Shah, S. M. 2 1991 Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007 Cooke, Kenneth L. 2 1985 The Königsberg bridges problem generalized. Zbl 0187.21505 Bellman, R.; Cooke, K. L. 2 1969 On a class of hereditary processes in biomechanics. Zbl 0251.92002 Cooke, Kenneth L.; Distefano, Nestor; Kashef, Bayesteh 2 1973 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 Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Starvros Busenberg (1941–1993), Claremont, CA, USA, June 1–4, 1994. Zbl 0901.00038 1 1996 On transcendental equations related to differential-difference equations. Zbl 0113.07405 Cooke, K. L. 1 1962 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 Predator-prey interactions with delays due to juvenile maturation. Zbl 1090.92047 Cooke, Kenneth L.; Elderkin, Richard H.; Huang, Wenzhang 12 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. 26 2004 On the discretization of a delay differential equation. Zbl 0954.39003 Cooke, Kenneth L.; Ivanov, Anatoli F. 12 2000 Behaviour change and treatment of core groups: Its effect on the spread of HIV/AIDS. Zbl 0970.92023 Hsien, Ying-Hen; Cooke, Kenneth 6 2000 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016 Cooke, K.; van den Driessche, P.; Zou, X. 166 1999 Analyses of an antiviral immune response model with time delays. Zbl 0941.92015 Cooke, Kenneth L.; Kuang, Yang; Li, Bingtuan 20 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. 156 1996 On the problem of linearization for state-dependent delay differential equations. Zbl 0844.34075 Cooke, Kenneth L.; Huang, Wenzhang 50 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 5 1996 Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Starvros Busenberg (1941–1993), Claremont, CA, USA, June 1–4, 1994. Zbl 0901.00038 1 1996 A model for HIV in Asia. Zbl 0833.92016 Busenberg, Stavros; Cooke, Kenneth; Hsieh, Ying-Hen 16 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. 7 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. 37 1994 Stability, instability in delay equations modeling human respiration. Zbl 0807.92007 Cooke, Kenneth L.; Turi, Janos 12 1994 Vertically transmitted diseases. Models and dynamics. Zbl 0837.92021 Busenberg, Stavros; Cooke, Kenneth 156 1993 Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068 Cooke, K. L.; Verduyn Lunel, Sjoerd M. 5 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 95 1992 A theorem of George Seifert and an equation with state-dependent delay. Zbl 0820.34042 Cooke, Kenneth L.; Huang, Wenzhang 12 1992 A survey of differential equations with piecewise continuous arguments. Zbl 0737.34045 Cooke, Kenneth L.; Wiener, Joseph 78 1991 Demographic change and persistence of HIV/AIDS in a heterogeneous population. Zbl 0739.92014 Busenberg, Stavros; Cooke, Kenneth; Thieme, Horst 15 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. 58 1989 Oscillations in systems of differential equations with piecewise constant argument. Zbl 0728.34077 Wiener, Joseph; Cooke, Kenneth L. 44 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. 31 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 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 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 39 1988 A nonlinear equation with piecewise continuous argument. Zbl 0723.34061 Carvalho, L. A. V.; Cooke, Kenneth L. 16 1988 The population dynamics of two vertically transmitted infections. Zbl 0638.92009 Busenberg, Stavros; Cooke, Kenneth L. 14 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 43 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 151 1986 One-dimensional linear and logistic harvesting models. Zbl 0611.92025 Cooke, Kenneth L.; Witten, Matthew 14 1986 Stability regions for linear equations with piecewise continuous delay. Zbl 0609.34080 Cooke, Kenneth L.; Wiener, Joseph 9 1986 Stability of delay differential equations with applications in biology and medicine. Zbl 0573.92007 Cooke, Kenneth L. 2 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 200 1984 Stability conditions for linear non-autonomous delay differential equations. Zbl 0558.34059 Busenberg, Stavros N.; Cooke, Kenneth L. 20 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. 8 1984 Analysis of a model of a vertically transmitted disease. Zbl 0518.92024 Busenberg, S.; Cooke, K. L.; Pozio, M. A. 30 1983 Stability conditions for linear retarded functional differential equations. Zbl 0526.34057 Cooke, Kenneth L.; Ferreira, Jose M. 10 1983 Discrete delay, distributed delay and stability switches. Zbl 0492.34064 Cooke, Kenneth L.; Grossman, Zvi 275 1982 Models of vertically transmitted diseases with sequential-continuous dynamics. Zbl 0512.92018 Busenberg, Stavros; Cooke, Kenneth L. 115 1982 Vertically transmitted diseases. Zbl 0512.92017 Cooke, Kenneth L.; Busenberg, Stavros 20 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 9 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. 124 1979 Periodic solutions of delay differential equations arising in some models of epidemics. Zbl 0468.34026 Busenberg, Stavros N.; Cooke, Kenneth L. 7 1979 Periodic solutions of a periodic nonlinear delay differential equation. Zbl 0391.34022 Busenberg, Stavros; Cooke, Kenneth L. 26 1978 A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012 Cooke, Kenneth L.; Kaplan, James L. 90 1976 An epidemic equation with immigration. Zbl 0335.92016 Cooke, Kenneth L. 33 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. 114 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. 11 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. 53 1968 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. 48 1967 Functional-differential equations: Some models and perturbation problems. Zbl 0189.40301 Cooke, K. L. 40 1967 Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\). Zbl 0153.40102 Cooke, K. L. 33 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. 55 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. 23 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. 954 1963 Differential-difference equations. Zbl 0132.30904 Cooke, K. L. 17 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. 213 1960 Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102 Bellman, R.; Cooke, K. L. 100 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 cited Publications top 5 cited Publications all top 5 Cited by 4,001 Authors 35 Cooke, Kenneth L. 30 Wei, Junjie 29 Yuan, Rong 25 Niculescu, Silviu-Iulian 22 Gyori, Istvan 20 Kharitonov, Vladimir Leonidovich 19 Jiang, Daqing 18 Chiu, Kuo-Shou 18 Teng, Zhi-dong 18 Wu, Jianhong 17 Akhmet, Marat Ubaydulla 16 Foryś, Urszula 16 Grebenshchikov, Boris Georgievich 16 Liu, Mingzhu 16 Mondié, Sabine 16 Pinto, Manuel 15 Ma, Zhien 14 Cahlon, Baruch 14 Chen, Lansun 14 Gumel, Abba B. 14 Hale, Jack Kenneth 14 Zou, Xingfu 13 Brauer, Fred 13 Castillo-Chavez, Carlos 13 Meng, Xinzhu 13 Mitrokhin, Sergeĭ Ivanovich 13 Partington, Jonathan R. 13 Trofimchuk, Sergei I. 13 Wang, Qi 13 Wiener, Joseph 12 Boussaada, Islam 12 Liu, Qun 12 van den Driessche, Pauline 12 Wang, Lin 12 Yurko, Vjacheslav Anatoljevich 12 Zhang, Tailei 12 Zhao, Xiao-Qiang 11 Hartung, Ferenc 11 Huang, Lihong 11 Jin, Zhen 11 Ma, Wanbiao 11 Ruan, Shigui 11 Stević, Stevo 11 Terefe, Yibeltal Adane 11 Yang, Zhanwen 10 Banks, Harvey Thomas 10 Bodnar, Marek 10 Gopalsamy, Kondalsamy 10 Ivanov, Anatoli F. 10 Ladas, Gerasimos E. 10 Langlais, Michel R. 10 Malygina, Vera Vladimirovna 10 Mukandavire, Zindoga 10 Schmidt, Darrell 10 Takeuchi, Yasuhiro 10 Xu, Rui 10 Yi, Taishan 9 Bereketoglu, Huseyin 9 Brunner, Hermann 9 Datko, Richard F. 9 Hayat, Tasawar 9 Hethcote, Herbert W. 9 Li, Xuezhi 9 Michiels, Wim 9 Nussbaum, Roger David 9 Piotrowska, Monika Joanna 9 Song, Minghui 9 Song, Xinyu 9 Thieme, Horst R. 9 Zhang, Fengqin 8 Ait Dads, El Hadi 8 Al-saedi, Ahmed Eid Salem 8 Ashyralyev, Allaberen 8 Bainov, Drumi Dimitrov 8 Beretta, Edoardo 8 Boucekkine, Raouf 8 Busenberg, Stavros N. 8 Garira, Winston S. 8 Greenhalgh, David 8 Huang, Wenzhang 8 Kassa, Semu Mitiku 8 Krisztin, Tibor 8 Licandro, Omar 8 Liu, Junli 8 Liu, Xinzhi 8 Liz, Eduardo 8 Lubuma, Jean Mbaro-Saman 8 Naresh, Ram 8 Plaksin, Anton Romanovich 8 Si, Jianguo 8 Sipahi, Rifat 8 Szidarovszky, Ferenc P. 8 Wang, Hao 8 Wang, Wendi 8 Yorke, James Alan 8 Zhang, Tonghua 7 Ağirseven, Deniz 7 Bacaër, Nicolas 7 Burton, Theodore Allen 7 Chen, Yuming ...and 3,901 more Authors all top 5 Cited in 426 Serials 284 Journal of Mathematical Analysis and Applications 138 Applied Mathematics and Computation 126 Mathematical Biosciences 118 Journal of Differential Equations 79 Journal of Mathematical Biology 61 Automatica 60 Mathematical Methods in the Applied Sciences 60 Chaos, Solitons and Fractals 58 Journal of Computational and Applied Mathematics 56 Nonlinear Analysis. Real World Applications 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Nonlinear Analysis. Theory, Methods & Applications 47 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 46 Mathematical Biosciences and Engineering 44 Mathematical and Computer Modelling 43 Applied Mathematics Letters 42 Computers & Mathematics with Applications 41 Applied Mathematical Modelling 41 Advances in Difference Equations 40 Bulletin of Mathematical Biology 38 Communications in Nonlinear Science and Numerical Simulation 36 Systems & Control Letters 33 International Journal of Biomathematics 31 Discrete and Continuous Dynamical Systems. 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English Series 8 Numerical Methods for Partial Differential Equations 8 SIAM Journal on Applied Mathematics 8 Advances in Computational Mathematics 8 Differential Equations and Dynamical Systems 8 Communications on Pure and Applied Analysis 8 Proceedings of the Steklov Institute of Mathematics 8 International Journal of Applied and Computational Mathematics 8 International Journal of Systems Science. Principles and Applications of Systems and Integration 7 Periodica Mathematica Hungarica 7 SIAM Journal on Control and Optimization 7 Journal of Integral Equations and Applications 7 Turkish Journal of Mathematics 7 Lobachevskii Journal of Mathematics 6 Mathematics of Computation 6 Prikladnaya Matematika i Mekhanika 6 Journal of Economic Theory 6 Kybernetika 6 Mathematical Systems Theory 6 Networks 6 Numerical Functional Analysis and Optimization 6 Numerische Mathematik 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Applied Mathematics and Mechanics. (English Edition) 6 Computers & Operations Research 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Nonlinear Science 6 Journal of Computer and Systems Sciences International 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Boundary Value Problems ...and 326 more Serials all top 5 Cited in 51 Fields 1,896 Ordinary differential equations (34-XX) 1,272 Biology and other natural sciences (92-XX) 472 Systems theory; control (93-XX) 359 Numerical analysis (65-XX) 338 Partial differential equations (35-XX) 253 Dynamical systems and ergodic theory (37-XX) 209 Integral equations (45-XX) 151 Difference and functional equations (39-XX) 135 Operator theory (47-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 104 Probability theory and stochastic processes (60-XX) 90 Operations research, mathematical programming (90-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 53 Real functions (26-XX) 48 Computer science (68-XX) 33 Functions of a complex variable (30-XX) 30 Mechanics of particles and systems (70-XX) 27 Mechanics of deformable solids (74-XX) 24 Fluid mechanics (76-XX) 23 Functional analysis (46-XX) 21 Combinatorics (05-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Integral transforms, operational calculus (44-XX) 15 Special functions (33-XX) 15 Approximations and expansions (41-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Statistics (62-XX) 10 Number theory (11-XX) 8 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General and overarching topics; collections (00-XX) 5 Optics, electromagnetic theory (78-XX) 4 History and biography (01-XX) 4 General topology (54-XX) 4 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-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) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-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