Impact of Carrying Capacity on Species Competition in Optimization Strategies for Impulsive Releases
DOI:
https://doi.org/10.5540/03.2026.012.01.0292Palavras-chave:
Optimal Control, Carrying Capacity, Impulsive Releases, Population Dynamics, Species CompetitionResumo
This work investigates the influence of the carrying capacity on the replacement of species S1 by species S2, with a focus on minimizing intervention costs. The problem is formulated as an optimal control problem, in which the control actions correspond to impulsive releases of individuals from species S2. The objective is to determine optimal release strategies that ensure the eradication of S1 and the successful establishment of S2. Numerical results are provided to illustrate the control strategies and to analyze how the carrying capacity affects the optimal release policy.
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