Most evolutionary thinking is based on the notion of fitness and related ideas such as fitness
landscapes and evolutionary optima. Nevertheless, it is often unclear what fitness actually is …

Natural processes usually are driven by mechanisms widely differing from each other by the
time or space scale at which they operate. Thus, they should be described by appropriate …

We consider a system of two coupled integro-differential equations modelling populations of
healthy and cancer cells under chemotherapy. Both populations are structured by a …

We are interested in the study of models describing the evolution of a polymorphic
population with mutation and selection in the specific scales of the biological framework of …

We propose an extension of a standard stochastic individual-based model in population
dynamics which broadens the range of biological applications. Our primary motivation is …

In this paper, we are interested in an integro-differential model that describe the evolution of
a population structured with respect to a continuous trait. Under some assumption, we are …

Unlike traditional books presenting stochastic processes in an academic way, this book
includes concrete applications that students will find interesting such as gambling, finance …

In this paper, we study propagation in a non-local reaction–diffusion–mutation model
describing the invasion of cane toads in Australia (Phillips et al 2006 Nature 439 803). The …

We are interested in modeling Darwinian evolution resulting from the interplay of phenotypic
variation and natural selection through ecological interactions. The population is modeled …

We are interested in modeling the Darwinian evolution resulting from the interplay of
phenotypic variation and natural selection through ecological interactions, in the specific …