We develop a systematic toolbox for analyzing the adaptive dynamics of multidimensional
traits in physiologically structured population models with point equilibria (sensu Dieckmann …

In this paper, we apply a new approach to a special class of discrete time evolution models
and establish a solid mathematical foundation to analyse them. We propose new single and …

The replicator equation model for the evolution of individual behaviors in a single species
with a multi-dimensional continuous trait space is developed as a dynamics on the set of …

The interplay between space and evolution is an important issue in population dynamics,
that is particularly crucial in the emergence of polymorphism and spatial patterns. Recently …

We consider a population living in a patchy environment that varies stochastically in space
and time. The population is composed of two morphs (that is, individuals of the same …

This paper should be read as addendum to Dieckmann et al.(J Theor Biol 241: 370–389,
2006) and Parvinen et al.(J Math Biol 67: 509–533, 2013). Our goal is, using little more than …

A framework is developed for constructing a large class of discrete generation, continuous
space models of evolving single species populations and finding their bifurcating patterned …

Over the last two decades evolutionary branching has emerged as a possible mathematical
paradigm for explaining the origination of phenotypic diversity. Although branching is well …

In this paper we study the evolutionary dynamics of delayed maturation in semelparous
individuals. We model this in a two‐stage clonally reproducing population subject to density …

We show in this paper how simulations of ODEs and continuations of systems of algebraic
equations can be combined to study the evolution of biodiversity in multispecies systems …