| Abstract: |
| In this study, we explore the application of ratio-dependent motility to biological diffusion models, providing a framework for understanding how organisms adjust their movement based on the ratio of available resources to population density. This approach reflects a more realistic perspective on biological systems, where resource competition, rather than absolute abundance, determines motility. We apply this motility concept in both chemotaxis and prey-predator models, demonstrating its potential to enhance global solvability and provide deeper insights into the dynamics of resource-limited environments. |
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