Bioeconomic Delay Model for an Algae-Fish Ecosystem with Optimal Control Analysis

A theoretical model analyzing an algae–fish ecosystem with nutrient recycling delays. The PDF document, 90.5 KB in size, was authored by Saida Khiyar and last updated on April 20, 2026. It establishes model well-posedness, analyzes stability and bifurcations, and applies optimal control theory for resource management.

Use Cases

• Studying the impact of nutrient recycling delays on ecosystem stability based on the described delay parameter τ.
• Analyzing Hopf bifurcations and stability conditions for species coexistence based on the derived analytical results.
• Designing optimal harvesting strategies for bioeconomic systems based on the application of Pontryagin's maximum principle.
• Simulating the dynamics of predator-prey systems with logistic growth and Holling type-II interactions based on the model formulation.

Strengths

• The model's theoretical foundations are rigorously established, with proofs for solution existence, uniqueness, positivity, and boundedness.
• Analytical results on stability and Hopf bifurcations are supported by numerical simulations mentioned in the description.
• Includes an optimal control framework for long-term resource management, linking ecological and economic objectives.

Limitations

• The dataset is a 90.5 KB PDF document containing a model description and analysis, not a structured data file for direct computational use.
• Row count and column-level documentation are absent; any numerical data must be extracted or regenerated from the model equations.
• Description metadata is limited; actual data quality requires manual inspection after download.

Provenance

Source

figshare

Collection Method

Theoretical model development and analysis.

Time Range

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Freshness

Last updated 2026-04-20 04:13:14; freshness should be verified.

Geography

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