Abstract
Of concern is an ecosystem consisting of a herbivorous species and a carnivorous one. A hunter population is introduced in the ecosystem. Suppose that it acts only on the carnivorous species and that the number of the hunted individuals is proportional to the number of the existing individuals in the carnivorous population. We find the optimal control in order to maximize the total number of individuals (prey and predators) at the end of a given time interval. Some numerical experiments are also presented.
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Apreutesei, N., Dimitriu, G. (2008). Optimal Control for Lotka-Volterra Systems with a Hunter Population. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_30
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DOI: https://doi.org/10.1007/978-3-540-78827-0_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78825-6
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