54 citations · 169 across the 8 of their papers we have counts for
8 papers
Analysis of a two patch model for disease vector-animal dynamics with non-linear anthropization-driven migration
Orville Wright Happi-Tchakounte, Ivric Valaire Yatat-Djeumen, Lukas Eigentler +1
Landscape dynamics are key drivers of the movement and distribution of sylvatic hematophagous disease vectors and their (wild) animal hosts. Their habitats are undergoing increasin…
Delayed loss of stability of periodic travelling waves: insights from the analysis of essential spectra
Lukas Eigentler, Mattia Sensi
Periodic travelling waves (PTW) are a common solution type of partial differential equations. Such models exhibit multistability of PTWs, typically visualised through the Busse bal…
Intraspecific competition in models for vegetation patterns: decrease in resilience to aridity and facilitation of species coexistence
Lukas Eigentler
Patterned vegetation is a characteristic feature of many dryland ecosystems. While plant densities on the ecosystem-wide scale are typically low, a spatial self-organisation princi…
Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes
Lukas Eigentler, Jonathan A. Sherratt
Patterns of vegetation are a characteristic feature of many semi-arid regions. The limiting resource in these ecosystems is water, which is added to the system through short and in…
Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal
Lukas Eigentler, Jonathan A. Sherratt
Vegetation patterns are a characteristic feature of semi-arid regions. On hillsides these patterns occur as stripes running parallel to the contours. The Klausmeier model, a couple…
Metastability as a coexistence mechanism in a model for dryland vegetation patterns
Lukas Eigentler, Jonathan A. Sherratt
Vegetation patterns are a ubiquitous feature of water-deprived ecosystems. Despite the competition for the same limiting resource, coexistence of several plant species is commonly…