Global Weak Solutions to a Two-Dimensional Doubly Degenerate Nutrient Taxis System with Logistic Source

Key Points

• Global weak solutions exist for a two-dimensional nutrient taxis system, providing important insights into mathematical modeling.
• The system incorporates logistic sources, emphasizing how nutrient distribution affects population dynamics.
• Mathematical techniques analyze degeneracies inherent in the system, shed light on foundational aspects of nutrient taxis.
• Findings contribute to understanding biological systems where nutrient movement influences ecological balances.