Time Delay Effect on Two Mathematical Fishery Models
Keywords:
Fishery Management, Time Delay, Fishing Effort, Selective HarvestingAbstract
We investigate the stability and bifurcation dynamics of two distinct bio-economic fishery models incorporating temporal delays that capture realistic biological and economic processes. The first model introduces delay in fishing effort costs, representing the depreciation dynamics of economic investments in fishery operations. The second model incorporates delay in the population harvesting term, reflecting the biological reality of age-selective fishing practices and temporal lags in population response to harvesting pressure. Our findings provide quantitative guidelines for fishery management, establishing mathematical criteria that balance economic viability with ecological sustainability. The contrasting behaviors of these two delay mechanisms highlight the importance of identifying the dominant temporal processes in specific fishery systems for effective management strategies.
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