His scientific studies focus on the theoretical study of ecological and evolutionary systems from an interdisciplinary and dynamic perspective, integrating the biology and physics of these systems, using mathematical analysis and modeling, as well as computational simulation as the main tools.
In his papers, the following keywords are often central: population and community ecology, biodiversity, extreme climatic and environmental conditions, global change, stochastic processes, non-linear dynamics, self-organization, and complex systems.
In recent years, his contributions have focused on two main topics: the influence of both inherent and environmental stochasticity on the dynamics of infectious diseases, particularly those transmitted by a vector; and the theoretical foundation of models that aim to understand the factors controlling biological diversity at various spatial-temporal scales.
