Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Horst R. Thieme"'
Autor:
Joan Ponce, Horst R. Thieme
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 10, Pp 18717-18760 (2023)
It is a fundamental question in mathematical epidemiology whether deadly infectious diseases only lead to a mere decline of their host populations or whether they can cause their complete disappearance. Upper density-dependent incidences do not lead
Externí odkaz:
https://doaj.org/article/114ff62043cc4a6392596a737f397690
Autor:
Horst R. Thieme
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 2, Pp 1168-1217 (2020)
If the individual state space of a structured population is given by a metric space S, measures μ on the σ-algebra of Borel subsets T of S offer a modeling tool with a natural interpretation: μ(T) is the number of individuals with structural chara
Externí odkaz:
https://doaj.org/article/63809d9c5f964320aa7cc23c8dca0b2c
Autor:
Horst R. Thieme, Jinling Yang
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 05, Pp 255-283 (2000)
Complex formation is used as a unified approach to derive representations and approximations of the functional response in predator prey relations, mating, and sexual disease transmission. Applications are given to the impact of a generalist predator
Externí odkaz:
https://doaj.org/article/2ef6f71ab37240ceabffe86eb58e5eb7
Autor:
Horst R. Thieme
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031252242
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07e0c148a3e8e6fc4aa9bad471ec1848
https://doi.org/10.1007/978-3-031-25225-9_23
https://doi.org/10.1007/978-3-031-25225-9_23
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 25:2143-2183
A mathematical model is formulated for the fox rabies epidemic that swept through large areas of Europe during parts of the last century. Differently from other models, both territorial and diffusing rabid foxes are included, which leads to a system
Autor:
Horst R. Thieme
Publikováno v:
Journal of Mathematical Biology. 83
Spatially distributed populations with two sexes may face the problem that males and females concentrate in different parts of the habitat and mating and reproduction does not happen sufficiently often for the population to persist. For simplicity, t
Publikováno v:
Mathematics and Computers in Simulation. 159:161-182
We describe a numerical algorithm for the simulation of the spread of rabies in a spatially distributed fox population. The model considers both territorial and wandering rabid foxes and includes a latent period for the infection. The resulting syste
Publikováno v:
Applied Numerical Mathematics. 135:87-98
We extend our previous work on the spatial spread of fox rabies from one dimension to two dimensions. We consider the case when the latent period has fixed length. We use the method of lines to replace the spatial derivatives and the integral equatio
Autor:
Horst R. Thieme
A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations – a question that is addressed mathematically by persistence theory. For some time, it h