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- Horst R. Thieme

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
10,618
147
World Ranking
1262
National Ranking
580

- Mathematical analysis
- Ecology
- Differential equation

His main research concerns Mathematical analysis, Differential equation, Dynamical systems theory, Applied mathematics and Nonlinear integral equation. His Mathematical analysis research incorporates themes from Linear map and Scalar. His work on Ordinary differential equation as part of his general Differential equation study is frequently connected to Immunization, thereby bridging the divide between different branches of science.

The Dynamical systems theory study combines topics in areas such as Poincaré conjecture, Phase plane, Trichotomy, Plane and Poincaré–Bendixson theorem. He combines subjects such as Incidence, Limiting, Ecology and Asymptotic dynamics with his study of Applied mathematics. The study incorporates disciplines such as Limit, State, Monotone polygon and Asymptotic analysis in addition to Nonlinear integral equation.

- Mathematics in Population Biology (742 citations)
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations (473 citations)
- Persistence under relaxed point-dissipativity (with application to an endemic model) (439 citations)

Horst R. Thieme mainly focuses on Mathematical analysis, Applied mathematics, Pure mathematics, Basic reproduction number and Differential equation. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Spectral radius, Stability and Nonlinear system. His work in Applied mathematics addresses subjects such as Mathematical optimization, which are connected to disciplines such as Stability theory.

Horst R. Thieme works mostly in the field of Pure mathematics, limiting it down to topics relating to Discrete mathematics and, in certain cases, Norm, as a part of the same area of interest. His research integrates issues of Ecology, Incubation period and Epidemic model in his study of Basic reproduction number. The various areas that Horst R. Thieme examines in his Epidemic model study include Infectious disease and Dynamical systems theory.

- Mathematical analysis (30.36%)
- Applied mathematics (17.26%)
- Pure mathematics (13.69%)

- Spectral radius (7.74%)
- Mathematical analysis (30.36%)
- Bounded function (8.93%)

Horst R. Thieme mainly investigates Spectral radius, Mathematical analysis, Bounded function, Extinction and Combinatorics. His Spectral radius research is multidisciplinary, incorporating elements of Geometry, Discrete time and continuous time, Cone, Stability and Normed vector space. As a part of the same scientific family, Horst R. Thieme mostly works in the field of Mathematical analysis, focusing on Eigenvalues and eigenvectors and, on occasion, Population model.

His work deals with themes such as Vector space, Operator theory, Compact space, Pure mathematics and Norm, which intersect with Bounded function. Within one scientific family, he focuses on topics pertaining to Host under Extinction, and may sometimes address concerns connected to Incidence function, Predator and Predation. The Combinatorics study combines topics in areas such as Disease reservoir and Disease persistence.

- Persistence of bacteria and phages in a chemostat (27 citations)
- Delay differential systems for tick population dynamics. (19 citations)
- PERSISTENCE AND GLOBAL STABILITY FOR A CLASS OF DISCRETE TIME STRUCTURED POPULATION MODELS (17 citations)

- Mathematical analysis
- Ecology
- Geometry

Horst R. Thieme spends much of his time researching Basic reproduction number, Combinatorics, Mathematical analysis, Population model and Applied mathematics. His Basic reproduction number study combines topics in areas such as Ecology, Nutrient, Competition, Competitive exclusion and Per capita. As a member of one scientific family, Horst R. Thieme mostly works in the field of Combinatorics, focusing on Krein–Rutman theorem and, on occasion, Norm, Monotone polygon and Differentiable function.

His Mathematical analysis research is multidisciplinary, incorporating perspectives in Petri dish and Interval. His research in Population model intersects with topics in Eigenvalues and eigenvectors and Banach space. His biological study spans a wide range of topics, including Stability, Open problem, Lyapunov function, Mathematical optimization and Uniqueness.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Mathematics in Population Biology

Horst R. Thieme.

**(2003)**

1201 Citations

Mathematics in Population Biology

Horst R. Thieme.

**(2003)**

1201 Citations

Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations

Horst R. Thieme.

Journal of Mathematical Biology **(1992)**

745 Citations

Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations

Horst R. Thieme.

Journal of Mathematical Biology **(1992)**

745 Citations

Persistence under relaxed point-dissipativity (with application to an endemic model)

Horst R. Thieme.

Siam Journal on Mathematical Analysis **(1993)**

636 Citations

Persistence under relaxed point-dissipativity (with application to an endemic model)

Horst R. Thieme.

Siam Journal on Mathematical Analysis **(1993)**

636 Citations

Dynamical Systems and Population Persistence

Hal L. Smith;Horst R. Thieme.

**(2010)**

465 Citations

Dynamical Systems and Population Persistence

Hal L. Smith;Horst R. Thieme.

**(2010)**

465 Citations

A competitive exclusion principle for pathogen virulence.

H. J. Bremermann;Horst Thieme.

Journal of Mathematical Biology **(1989)**

419 Citations

A competitive exclusion principle for pathogen virulence.

H. J. Bremermann;Horst Thieme.

Journal of Mathematical Biology **(1989)**

419 Citations

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