A fractional-order chemostat model with sliding memory and periodic boundary conditions is shown to have a unique non-trivial periodic solution under explicit parameter conditions.
Uniqueness and nonuniqueness criteria for ordinary differential equations, volume 6
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Sustainable Water Treatment through Fractional-Order Chemostat Modeling with Sliding Memory and Periodic Boundary Conditions: A Mathematical Framework for Clean Water and Sanitation
A fractional-order chemostat model with sliding memory and periodic boundary conditions is shown to have a unique non-trivial periodic solution under explicit parameter conditions.