Manuscript Topics

The field of population dynamics has emerged as a highly relevant and timely area of research within the context of discrete and continuous dynamical systems. It provides a rigorous mathematical framework for understanding complex phenomena in ecology, biology, epidemiology and the social sciences. The modelling of the temporal evolution of populations, subject to processes such as growth, competition, cooperation, resource limitation, and extinction, remains a central topic with significant scientific impact and numerous interdisciplinary applications.

Phase space analysis facilitates the investigation of stability, periodic cycles, complex oscillations, and chaotic behaviour. Conversely, the study of parameter space reveals qualitative transitions described by bifurcation theory. In this context, the role of fixed points, periodic orbits, and critical manifolds in the organisation of global dynamics is particularly pronounced, especially in models involving multiple time scales.

The objective of this Special Issue is to provide a forum for original contributions that address theoretical, computational, and applied advances in the field of population dynamics. Submissions that address discrete and continuous systems, bifurcation theory, stability, synchronisation, control, slow–fast systems, deterministic chaos, and emerging applications are particularly welcome. It is hereby requested that researchers from a variety of academic disciplines submit articles which reflect the breadth, depth and contemporary relevance of this expanding scientific field.

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