1. Optimizing Impulsive Releases in Species Competition Models
- Author
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Alves, Jéssica C. S., Oliva, Sergio M., and Schaerer, Christian E.
- Subjects
Mathematics - Optimization and Control ,Quantitative Biology - Populations and Evolution ,92D25 (primary), 49N25, 34C60 (secondary) - Abstract
This study focuses on optimizing species release $S_2$ to control species population $S_1$ through impulsive release strategies. We investigate the conditions required to remove species $S_1$, which is equivalent to the establishment of $S_2$. The research includes a theoretical analysis that examines the positivity, existence, and uniqueness of solutions and the conditions for the global stability of the $S_1$-free solution. In addition, we formulate an optimal control problem to maximize the effectiveness of $S_2$ releases, manage the population of $S_1$, and minimize the costs associated with this intervention strategy. Numerical simulations are conducted to validate the proposed theories and allow visualization of population dynamics under various releases scenarios., Comment: 30 pages and 40 figures more...
- Published
- 2025