Abstract
In this paper we study a harvesting problem in the presence of a predator and a tax. The objective is to maximize the monetary social benefit as well as prevent the predator from extinction, keeping the ecological balance.
Similar content being viewed by others
References
Cesari, L. (1983). Optimization—Theory and Applications, Applications of Mathematics, Vol. 17. New York: Springer-Verlag.
Clark, C. W. (1976). Mathematical Bioeconomics: The Optimal Management of Renewable Resources, New York: Wiley.
Clark, C. W. (1979). Mathematical models in the economics of renewable resources. SIAM Rev. 21, 81–99.
Choudary, K. and T. Johnson (1990). Bioeconomic dynamics of a fishery modeled as an S-system. Math. Bio. Sci. 99, 231–249
Glendinning, P. (1994). Stability Instability and Chaos: an Introduction to the Theory of Nonlinear Differential Equations, Cambridge: Cambridge University Press.
Pontriagin L. S., V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko (1964). The Mathematical Theory of Optimal Processes, London: Pergamon Press.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Krishna, S.V., Srinivasu, P.D.N. & Kaymakcalan, B. Conservation of an ecosystem through optimal taxation. Bull. Math. Biol. 60, 569–584 (1998). https://doi.org/10.1006/bulm.1997.0023
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1006/bulm.1997.0023