K. L. Cooke

1.4k total citations
25 papers, 964 citations indexed

About

K. L. Cooke is a scholar working on Public Health, Environmental and Occupational Health, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, K. L. Cooke has authored 25 papers receiving a total of 964 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Public Health, Environmental and Occupational Health, 7 papers in Numerical Analysis and 6 papers in Modeling and Simulation. Recurrent topics in K. L. Cooke's work include Mathematical and Theoretical Epidemiology and Ecology Models (8 papers), Numerical methods for differential equations (7 papers) and COVID-19 epidemiological studies (5 papers). K. L. Cooke is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (8 papers), Numerical methods for differential equations (7 papers) and COVID-19 epidemiological studies (5 papers). K. L. Cooke collaborates with scholars based in United States, Canada and Netherlands. K. L. Cooke's co-authors include P. van den Driessche, Xingfu Zou, Carlos Castillo‐Chávez, Wenzhi Huang, Simon A. Levin, Richard Bellman, Maria Assunta Pozio, Stavros Busenberg, Jorge X. Velasco‐Hernández and Julien Arino and has published in prestigious journals such as Annals of Mathematics, Journal of the Franklin Institute and Journal of Mathematical Analysis and Applications.

In The Last Decade

K. L. Cooke

23 papers receiving 875 citations

Peers

K. L. Cooke

PHEOH

GENET

Stavros Busenberg United States

S. Blythe United Kingdom

W. E. Fitzgibbon United States

James S. Muldowney Canada

Meng Fan China

Yoshiaki Muroya Japan

Robert H. Martin United States

Shujing Gao China

Zhichao Jiang China

Gauthier Sallet France

Stavros Busenberg United States

K. L. Cooke

1.3k ×2.1

PHEOH

922 ×2.0

673 ×2.0

GENET

175 ×1.2

244 ×1.8

Citations per year, relative to K. L. Cooke K. L. Cooke (= 1×) peers Stavros Busenberg

Countries citing papers authored by K. L. Cooke

Since Specialization

Citations

This map shows the geographic impact of K. L. Cooke's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by K. L. Cooke with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites K. L. Cooke more than expected).

Fields of papers citing papers by K. L. Cooke

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by K. L. Cooke. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by K. L. Cooke. The network helps show where K. L. Cooke may publish in the future.

Co-authorship network of co-authors of K. L. Cooke

This figure shows the co-authorship network connecting the top 25 collaborators of K. L. Cooke. A scholar is included among the top collaborators of K. L. Cooke based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with K. L. Cooke. K. L. Cooke is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Arino, Julien, K. L. Cooke, P. van den Driessche, & Jorge X. Velasco‐Hernández. (2004). An epidemiology model that includes a leaky vaccine with a general waning function. Discrete and Continuous Dynamical Systems - B. 4(2). 479–495. 45 indexed citations

Cooke, K. L. & Anatoli F. Ivanov. (2000). On the discretization of a delay differential equation. The Journal of Difference Equations and Applications. 6(1). 105–119. 17 indexed citations

Cooke, K. L., P. van den Driessche, & Xingfu Zou. (1999). Interaction of maturation delay and nonlinear birth in population and epidemic models. Journal of Mathematical Biology. 39(4). 332–352. 239 indexed citations

Cooke, K. L. & P. van den Driessche. (1996). Analysis of an SEIRS epidemic model with two delays. Journal of Mathematical Biology. 35(2). 240–260. 255 indexed citations

Cooke, K. L., et al.. (1993). Spectral conditions and an explicit expression for the stabilization of hybrid systems in the presence of feedback delays. Quarterly of Applied Mathematics. 51(1). 147–159. 2 indexed citations

Cooke, K. L. & Sjoerd M. Verduyn Lunel. (1993). Distributional and small solutions for linear time-dependent delay equations. Differential and Integral Equations. 6(5). 7 indexed citations

Blythe, S., K. L. Cooke, & Carlos Castillo‐Chávez. (1991). Autonomous Risk-Behavior Change, and Non-Linear Incidence Rate, in Models of Sexually Transmitted Diseases.. eCommons (Cornell University). 5 indexed citations

Cooke, K. L., et al.. (1991). On dichotomic maps for a class of differential-difference equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 117(3-4). 317–328. 4 indexed citations

Castillo‐Chávez, Carlos, K. L. Cooke, Wenzhi Huang, & Simon A. Levin. (1989). On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Journal of Mathematical Biology. 27(4). 373–398. 85 indexed citations

10.

Castillo‐Chávez, Carlos, K. L. Cooke, Wenzhi Huang, & Simon A. Levin. (1989). Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus. Applied Mathematics Letters. 2(4). 327–331. 56 indexed citations

11.

Castillo‐Chávez, Carlos, K. L. Cooke, & Simon A. Levin. (1989). On the Modelling of Epidemics. eCommons (Cornell University).

12.

Cooke, K. L.. (1986). Modeling dynamic phenomena in molecular and cellular biology. Mathematical Modelling. 7(9-12). 1661–1662. 7 indexed citations

13.

Busenberg, Stavros, K. L. Cooke, & Maria Assunta Pozio. (1983). Analysis of a model of a vertically transmitted disease. Journal of Mathematical Biology. 17(3). 305–29. 39 indexed citations

14.

Bellman, Richard & K. L. Cooke. (1969). The Konigsberg bridges problem generalized. Journal of Mathematical Analysis and Applications. 25(1). 1–7. 4 indexed citations

15.

Bellman, Richard, K. L. Cooke, Robert E. Kalaba, & G. Milton Wing. (1965). Existence and uniqueness theorems in invariant imbedding—I conservation principles. Journal of Mathematical Analysis and Applications. 10(2). 234–244. 6 indexed citations

16.

Bellman, Richard & K. L. Cooke. (1965). On the computational solution of a class of functional differential equations. Journal of Mathematical Analysis and Applications. 12(3). 495–500. 24 indexed citations

17.

Cooke, K. L.. (1959). The rate of increase of real continuous solutions of certain algebraic functional equations. Transactions of the American Mathematical Society. 92(1). 106–124. 5 indexed citations

18.

Cooke, K. L.. (1958). A Symbolic Method for Finding Integrals of Linear Difference and Differential-Difference Equations. Mathematics Magazine. 31(3). 121–121. 1 indexed citations

19.

Cooke, K. L.. (1955). Forced Periodic Solutions of a Stable Non-Linear Differential-Difference Equation. Annals of Mathematics. 61(2). 381–381. 4 indexed citations

20.

Cooke, K. L.. (1953). The asymptotic behavior of the solutions of linear and nonlinear differential-difference equations. Transactions of the American Mathematical Society. 75(1). 80–105. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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