If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

The repertoire of lymphocyte receptors in the adaptive immune system protects organisms
from diverse pathogens. A well-adapted repertoire should be tuned to the pathogenic …

Understanding the mechanisms driving biological diversity remains a central problem in
ecology and evolutionary biology. Traditional explanations assume that differences in …

The dynamics of a local community of competing species with weak immigration from a static
regional pool is studied. Implementing the generalized competitive Lotka-Volterra model …

Short-scale interactions yield large-scale vegetation patterns that, in turn, shape ecosystem
function across landscapes. Fairy circles, which are circular patches bare of vegetation …

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 …

Many chemical and biological processes take place in fluid environments in constant
motion? chemical reactions in the atmosphere, biological population dynamics in the ocean …

We analyze a stochastic model for tumor cell growth with both multiplicative and additive
colored noises as well as nonzero cross correlations in between. Whereas the death rate …

We have analyzed the evolution of a quantitative trait in populations that are spatially
extended along an environmental gradient, with gene flow between nearby locations. In the …

We present an analytic study of traveling fronts, localized colonies, and extended patterns
arising from a reaction-diffusion equation which incorporates simultaneously two features …