Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Frithjof Lutscher"'
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 4, Iss 3, Pp 196-226 (2023)
Most biological populations reside in landscapes that consist of many different patches of different quality. Different species differ in their movement behavior, habitat preference and growth rates. Historically, mathematical models for population d
Externí odkaz:
https://doaj.org/article/de1c318b046a4880ae96953e56212405
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 3, Pp 2506-2537 (2022)
Diffusion-driven instability and Turing pattern formation are a well-known mechanism by which the local interaction of species, combined with random spatial movement, can generate stable patterns of population densities in the absence of spatial hete
Externí odkaz:
https://doaj.org/article/aeb8443e6b484bc6b6b02401ca0df49a
Correlated random walks in heterogeneous landscapes: Derivation, homogenization, and invasion fronts
Autor:
Frithjof Lutscher, Thomas Hillen
Publikováno v:
AIMS Mathematics, Vol 6, Iss 8, Pp 8920-8948 (2021)
Many models for the movement of particles and individuals are based on the diffusion equation, which, in turn, can be derived from an uncorrelated random walk or a position-jump process. In those models, individuals have a location but no well-define
Externí odkaz:
https://doaj.org/article/c694b07f1a474c13879183a4aa4c903c
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 2, Iss 2, Pp 103-122 (2021)
In ecological communities, the behaviour of individuals and the interaction between species may change between seasons, yet this seasonal variation is often not represented explicitly in mathematical models. As global change is predicted to alter sea
Externí odkaz:
https://doaj.org/article/95032bb579074a1eab6df8d7581fcdb0
Publikováno v:
PLoS ONE, Vol 12, Iss 4, p e0175297 (2017)
Despite massive investment in HIV control programs, HIV incidence rates in countries with generalized epidemics have not fallen for most of the last decade. It appears that those at risk are not adopting effective prevention strategies. Those who are
Externí odkaz:
https://doaj.org/article/ebca7b524dff4ce8be94ef3631690bb7
Publikováno v:
Methods in Ecology and Evolution. 13:866-879
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac8161bd55a7eccafdd62ac5f504ad11
https://doi.org/10.1111/2041-210x.13799
https://doi.org/10.1111/2041-210x.13799
Our ability to understand population spread dynamics is complicated by rapid evolution, which renders simple ecological models insufficient. If dispersal ability evolves, more highly-dispersive individuals may arrive at the population edge than less-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e076d00146e31489255902c59fad067f
https://doi.org/10.22541/au.166722317.78861119/v1
https://doi.org/10.22541/au.166722317.78861119/v1
Publikováno v:
Theoretical Ecology.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::972a909e57031922e536ff46abc6e1b0
https://doi.org/10.1007/s12080-022-00540-2
https://doi.org/10.1007/s12080-022-00540-2
Publikováno v:
Oikos. 130:525-540
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aff222c5f6a2479e822218d1763bd8ab
https://doi.org/10.1111/oik.08051
https://doi.org/10.1111/oik.08051
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 26:269-297
The question of whether and how two competing consumers can coexist on a single limiting resource has a long tradition in ecological theory. We build on a recent seasonal (hybrid) model for one consumer and one resource, and we extend it by introduci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c54b1db0284363ae68808ea2c8ccce9
https://doi.org/10.3934/dcdsb.2020140
https://doi.org/10.3934/dcdsb.2020140