Manuscript Topics

Mathematical modelling has been extensively used to study the spread of infectious diseases and the ecology of interacting populations as well as assess intervention strategies, and a variety of different modelling techniques has been proposed to describe the different aspects of the epidemic and the populations. Among these, structured population models are often used to capture the intrinsic heterogeneities of the individuals. Individual structuring variables can be for instance chronological age, size or length, time since infection, immunity level, viral load, etc. When these variables evolve continuously in time, the resulting models often generate infinite-dimensional dynamical systems, whose analysis and numerical solution is notably complex.

This special issue aims at collecting the latest advances in the mathematical and computational analysis of models for infectious disease spread or ecology of structured populations that can be formulated as integral equations, delay differential equations or partial differential equations. Innovative models and approaches that shed new light into the mechanisms of disease transmission are particularly welcome, as well as numerical approaches for the approximation of the solutions of the initial value problems or of dynamical aspects like endemic steady states and their stability, oscillatory solutions, chaos, and the approximation of important epidemiological and ecological indicators like the reproduction number.

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