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Updated: Jan 16, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Sustainable harvesting strategy in an ecological competition model with interference
1Department of Mathematics, Florida Gulf Coast University, Fort Myers, FL, USA.
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This paper examines a three-species ecological competition model with two predators and one prey, incorporating food-limited growth and both linear and quadratic harvesting strategies. Using mathematical analysis, we identify equilibrium points and derive conditions for their stability and persistence. The results reveal that quadratic harvesting significantly enhances stability, promotes coexistence, and mitigates extinction risks compared to linear harvesting. Numerical simulations validate the theoretical findings, highlighting the effectiveness of quadratic harvesting in managing population dynamics. These insights contribute to the mathematical understanding of sustainable harvesting strategies in complex ecological systems.
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Competition
Optimal Foraging
Predator-Prey Interactions
Ecological Niches
Ecological Succession
Ecological Disturbance

