This line of research consists, on the one hand, of mathematical modelisation in dynamics of structured populations, and on the other hand, of the adaptive dynamics of certain evolutionary characteristics of the individuals of these populations.The dynamics of structured populations has its starting point in modelling the biological processes inherent to the population considered, in terms of an equation or a system of equations.These equations can be of diverse nature, from discreet models (one-dimensional or matrix) to continuous models defined by ordinary differential equations, or equations in partial derivatives, or integral equations.In structured populations a certain heterogeneity of individuals is considered that goes for one or several given variables (generally physiological variables such as age or size).Later, the mathematical analysis of these equations is what occupies us, from the point of view of the theoretical foundation (in some cases problems of the existence and uniqueness of solutions remain open) as well as from the point of view of the qualitative behaviour of solutions: analysis of stationary states, forking of parameters and existence of periodic orbits, stability and instability of solutions, asymptotic behaviour, and numerical simulations.Finally, the interpretation of the results obtained in biological terms helps us to corroborate models and draw conclusions.The second subject of study is the modelling of the evolution of some characteristics of population individuals through adaptive dynamics that connect ecology (population dynamics) with long-term evolution, for the natural selection of population characteristics.These evolutionary features can be one-dimensional, vectorial, or even of infinite dimension (a feature represented by a function).One of the important points of adaptive dynamics is the calculation of evolutionarily stable strategies since they are one of the possible end points of the evolutionary process.