Franz Rothe

1.4k total citations
26 papers, 994 citations indexed

About

Franz Rothe is a scholar working on Public Health, Environmental and Occupational Health, Computer Networks and Communications and Modeling and Simulation. According to data from OpenAlex, Franz Rothe has authored 26 papers receiving a total of 994 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Public Health, Environmental and Occupational Health, 9 papers in Computer Networks and Communications and 9 papers in Modeling and Simulation. Recurrent topics in Franz Rothe's work include Mathematical and Theoretical Epidemiology and Ecology Models (13 papers), Mathematical Biology Tumor Growth (9 papers) and Nonlinear Dynamics and Pattern Formation (9 papers). Franz Rothe is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (13 papers), Mathematical Biology Tumor Growth (9 papers) and Nonlinear Dynamics and Pattern Formation (9 papers). Franz Rothe collaborates with scholars based in Germany, United States and Italy. Franz Rothe's co-authors include K. P. Hadeler, P. de Mottoni, Douglas S. Shafer, Uwe an der Heiden, Hannes Vogt, Jonathan M. Borwein and Fred Galvin and has published in prestigious journals such as Lecture notes in mathematics, American Mathematical Monthly and Journal of Differential Equations.

In The Last Decade

Franz Rothe

25 papers receiving 863 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Franz Rothe Germany	13	516	286	285	242	223	26	994
Shair Ahmad United States	22	886 1.7×	370 1.3×	195 0.7×	313 1.3×	671 3.0×	70	1.5k
O. Arino France	19	718 1.4×	425 1.5×	228 0.8×	472 2.0×	467 2.1×	59	1.6k
Jifa Jiang China	18	733 1.4×	276 1.0×	197 0.7×	297 1.2×	254 1.1×	102	1.2k
Adam Chmaj United States	9	364 0.7×	206 0.7×	216 0.8×	94 0.4×	321 1.4×	13	792
G. J. Butler Canada	18	519 1.0×	182 0.6×	117 0.4×	375 1.5×	320 1.4×	37	1.1k
Edward D. Conway United States	9	283 0.5×	120 0.4×	164 0.6×	153 0.6×	212 1.0×	15	624
Peter Y. H. Pang Singapore	15	633 1.2×	489 1.7×	177 0.6×	335 1.4×	478 2.1×	59	1.1k
Taishan Yi China	15	532 1.0×	194 0.7×	235 0.8×	183 0.8×	341 1.5×	35	806
Robert E. Gaines United States	11	484 0.9×	186 0.7×	166 0.6×	132 0.5×	928 4.2×	22	1.5k
Luca Rossi France	22	596 1.2×	309 1.1×	111 0.4×	241 1.0×	353 1.6×	66	1.1k

Countries citing papers authored by Franz Rothe

Since Specialization

Citations

This map shows the geographic impact of Franz Rothe'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 Franz Rothe with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Franz Rothe more than expected).

Fields of papers citing papers by Franz Rothe

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Franz Rothe. 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 Franz Rothe. The network helps show where Franz Rothe may publish in the future.

Co-authorship network of co-authors of Franz Rothe

This figure shows the co-authorship network connecting the top 25 collaborators of Franz Rothe. A scholar is included among the top collaborators of Franz Rothe 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 Franz Rothe. Franz Rothe is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Rothe, Franz. (2000). Oscillations of the Taylor polynomials for the sin function. 2 indexed citations

Rothe, Franz, et al.. (1994). Boundedness and decay estimates for a class of reaction-diffusion systems on n. Nonlinear Analysis. 23(1). 37–48. 2 indexed citations

Rothe, Franz. (1994). An analogue to the Smale—Birkhoff homoclinic theorem for iterated entire mappings. Aequationes Mathematicae. 48(1). 1–23.

Rothe, Franz. (1993). Hidden Symmetry and Bifurcation Analysis of the Emden-Fowler Equation. Applicable Analysis. 49(3-4). 213–233. 2 indexed citations

Rothe, Franz. (1993). Remarks on Periods of Planar Hamiltonian Systems. SIAM Journal on Mathematical Analysis. 24(1). 129–154. 25 indexed citations

Rothe, Franz & Douglas S. Shafer. (1992). Multiple bifurcation in a predator–prey system with nonmonotonic predator response. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 120(3-4). 313–347. 29 indexed citations

Rothe, Franz. (1992). Snapback repellers and semiconjugacy for iterated entire mappings. manuscripta mathematica. 74(1). 299–319. 1 indexed citations

Rothe, Franz. (1985). Thermodynamics, real and complex periods of the Volterra model. Zeitschrift für angewandte Mathematik und Physik. 36(3). 395–421. 9 indexed citations

Rothe, Franz. (1985). The periods of the Volterra-Lotka system.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1985(355). 129–138. 47 indexed citations

10.

Rothe, Franz. (1984). Global Solutions of Reaction-Diffusion Systems. Lecture notes in mathematics. 296 indexed citations

11.

Rothe, Franz & K. P. Hadeler. (1983). Asymptotic behavior of a nonhomogeneous predator‐prey system with one diffusing and one sedentary species. Mathematical Methods in the Applied Sciences. 5(1). 40–67. 3 indexed citations

12.

Rothe, Franz. (1982). Uniform bounds from bounded Lp-functionals in reaction-diffusion equations. Journal of Differential Equations. 45(2). 207–233. 30 indexed citations

13.

Rothe, Franz. (1981). Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology. Nonlinear Analysis. 5(5). 487–498. 22 indexed citations

14.

Rothe, Franz. (1981). Convergence to pushed fronts. Rocky Mountain Journal of Mathematics. 11(4). 58 indexed citations

15.

Mottoni, P. de & Franz Rothe. (1980). A Singular Perturbation Analysis for a Reaction‐Diffusion System Describing Pattern Formation. Studies in Applied Mathematics. 63(3). 227–247. 8 indexed citations

16.

Mottoni, P. de & Franz Rothe. (1979). Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion. SIAM Journal on Applied Mathematics. 37(3). 648–663. 61 indexed citations

17.

Rothe, Franz & K. P. Hadeler. (1979). Solutions for systems of nonlinear elliptic equations with nonlinear boundary conditions. Mathematical Methods in the Applied Sciences. 1(4). 545–553. 2 indexed citations

18.

Rothe, Franz, et al.. (1979). A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior. Annali di Matematica Pura ed Applicata (1923 -). 122(1). 141–157. 14 indexed citations

19.

Rothe, Franz. (1978). Convergence to travelling fronts in semilinear parabolic equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 80(3-4). 213–234. 49 indexed citations

20.

Hadeler, K. P., Uwe an der Heiden, & Franz Rothe. (1974). Nonhomogeneous spatial distributions of populations. Journal of Mathematical Biology. 1(2). 165–176. 25 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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