Manuscript Topics

There has been an enormous increase in the cooperation and collaboration between mathematicians and biologists to develop improved physical models and gain a deeper understanding of the theoretical aspects of the involved systems. While these efforts have led to profound results that have deepened the understanding of both fields, there is still much need for physically realistic and theoretically robust models. One critical challenge that remains underdeveloped is how to capture and account for heterogeneity and multiple scales inherent in biological systems.

Motivated by important biological questions, this special issue collects recent advances that incorporate heterogeneity into biological dynamical systems models. Topics include but are not limited to dynamical systems approached with the following 1.) incorporating spatial heterogeneities 2.) considering temporal heterogeneities, such as delays, seasonal dynamics, or interspecific dynamics on a very different timescale, 3.) including individual level or behavioral heterogeneities, and 4.) exploring environmental heterogeneities. These topics develop mathematical theory that either spans multiple scales (i.e., spatial, temporal, ecological) within a single adaptive framework or accurately links multiple mathematical models across scales.

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