Interdisciplinary Applied Mathematics

SSAJE Marsden, LSS Wiggins, L Glass, RV Kohn… - 2002 - Springer
The theory of branching processes is an area of mathematics that describes situations in
which an entity exists for a time and then may be replaced by one, two, or more entities of a …

Coexistence in a variable environment: eco-evolutionary perspectives

CT Kremer, CA Klausmeier - Journal of theoretical biology, 2013 - Elsevier
A central question in community ecology is the means by which species coexist. Models of
coexistence often assume that species have fixed trait values and consider questions such …

Rapid evolution promotes fluctuation‐dependent species coexistence

M Yamamichi, AD Letten - Ecology Letters, 2021 - Wiley Online Library
Recent studies have demonstrated that rapid contemporary evolution can play a significant
role in regulating population dynamics on ecological timescales. Here we identify a …

Seasonality and the evolutionary divergence of plant parasites

FM Hamelin, M Castel, S Poggi, D Andrivon… - Ecology, 2011 - Wiley Online Library
The coexistence of closely related plant parasites is widespread. Yet, understanding the
ecological determinants of evolutionary divergence in plant parasites remains an issue …

Interdisciplinary applied mathematics

SSAJE Marsden, LSS Wiggins, L Glass, RV Kohn… - 1993 - Springer
Problems in engineering, computational science, and the physical and biological sciences
are using increasingly sophisticated mathematical techniques. Thus, the bridge between the …

Armstrong–McGehee mechanism revisited: Competitive exclusion and coexistence of nonlinear consumers

X **ao, GF Fussmann - Journal of Theoretical Biology, 2013 - Elsevier
A number of mechanisms have been proposed to explain the coexistence of species
engaging in exploitative competition. The Armstrong–McGehee mechanism relies on …

Evolution of specialization under non-equilibrium population dynamics

T Nurmi, K Parvinen - Journal of Theoretical Biology, 2013 - Elsevier
We analyze the evolution of specialization in resource utilization in a mechanistically
underpinned discrete-time model using the adaptive dynamics approach. We assume two …

Maintenance and evolution of individual differences in a prey defence trait examined with a dynamic predator-prey model

L Eigentler, K Reinhold - bioRxiv, 2023 - biorxiv.org
Predator-prey systems often feature periodic population cycles. In an empirical system with a
heritable prey defence trait, ecological oscillations were previously shown to cause …

[PDF][PDF] Adaptive Dynamics of Resource Specialization

T Nurmi - 2015 - utupub.fi
Ecological specialization in resource utilization has various facades ranging from nutritional
resources via host use of parasites or phytophagous insects to local adaptation in different …