Optimal short-term policies aimed at enhancement of scarce wild-life species populations

Olga Vasilieva
(Department of Mathematics, Universidad del Valle)

2014/2/3, 13:30- at Room 3631 (6th floor of building 3 of the Faculty of Sciences)

     This presentation is focused on a finite-horizon bioeconomic growth model that links the biological evolution of a single wildlife species with the capital accumulation dynamics. The model is formulated in terms of optimal control with non-consumptive objective regarding the biological species; in other words, with no harvesting. The Pontryagin's maximum principle allows to design a decision policy for short-term optimal planning and converts the optimal control problem into a two-point boundary value problem, which is then solved numerically using the MATLAB routine b v p 4 c . Numerical simulations suggest the existence of optimal policies capable to enhance even (initially) scarce species populations within a finite period of time.
     This is a joint work with Erica Cruz-Rivera (Universidad del Valle, Colombia) and Mikhail Svinin (Kyushu University, Japan).

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