Biodiversity Strategy Improved in Ethiopia by Using Optimal Control System

  • A. N. Mohamad Professor, Department of Mathematics, Debre Berhan University, Debre Berhan & P.O.Box-445, Ethiopia
  • Nigussie Dedefi Waritu Lecturer, Department of Mathematics, Debre Berhan University, Debre Berhan & P.O.Box-445, Ethiopia
  • Gizachew kefelew Hailu Assistant Professor, Department of Mathematics, Debre Berhan University, Debre Berhan & P.O.Box-445, Ethiopia
  • Mengistu Chalchisa Wakjira Lecturer, Department of Mathematics, Debre Berhan University, Debre Berhan & P.O.Box-445, Ethiopia
Keywords: Costate, Ecosystem diversity, Optimal Control Systems, HJBE, Species Diversity.

Abstract

Biodiversity Strategy (BS) explains conserving biodiversity is not just a matter of protecting wildlife in nature reserves. It is also about safeguarding the natural systems of the Earth that are our life support systems, purifying the waters, recycling oxygen, carbon and other essential elements, maintaining the fertility of the soil, providing food from the land, freshwaters, and seas, yielding medicines and safeguarding the genetic richness on which we depend in the creaseless struggle to improve our crops and livestock. Biodiversity can be divided into three hierarchical categories – Genes, species and ecosystems that describe quite different aspects of living systems and that scientists’ measure in different ways. We tried to measure BS with suitable parameters by using Optimal Control Systems including Hamiltonian – Jacobi – Bellman Equation (HJBE) and state, costate with control aimed at to improve BS in Ethiopia and explain how to improve and implemented it in Ethiopia in future properly.

References

. Athans, M. and Faalb, P. Optima Control: An Introduction to The Theory and Its Applications, McGraw Hill Companies, Inc., New York, NT, 1997

. Bellman, R. E. Introduction to Matrix Analysis. McGraw Hill Book Company, New York, NY, Second edition, 1971.

. Bridgewater, Peter. 1988. Biodiversity and landscape. Earth – Science Reviews 25: 486 – 491

. Bittanti, S., Laub, A. J, and Willems, J. C. editors: The Riccati Equation. Springer – Verlag, New York, NY, 1991.

. Commission of Inquiry into Aspects of the Timber Industry in Papua New Guinea. 1989. Interim Report No. 4. Vol. 1. Government of Papua New Guinea, Port Moresby, Papua New Guinea.

. Ehrlich, Paul R., and Edward O. Wilson. 1991. Biodiversity studies: science and policy. Science 253: 758 – 762

. Lang, R. (Eds.). 1986. Integrated Approach to Research Planting and Management. University of Calgary Press. Calgary, Alberta, Canada

. Raven, P. H. 1988. Biological resources and global stability. PP 3 – 27 In: S. Kawano, J. H. Connell, and T. Hidaka (eds.), Evaluation and Codaptation in Biotic Communities. University of Tokyo press, Tokyo, Japan.

. Reid, W. V. 1992. How many species will there be? In: T. Whitemore and J. Sayer (eds.) Tropical Deforestation and Species Extinction. Chapman and Hall, London, U. K.

. The rational for nature conservation is summarized in the World Charter for Nature of the United Nations General Assembly, reprinted in McNeely et al., 1990

. Thomas, C. D. 1990. Fewer Species. Nature 347:237

. User A. D. 1991. Inhabitants of the Mool River. The Nation, March 31. Bangkok, Thailand.

. DesneniSubbaram Naidu: Optimal Control System, CRC Press, Boca Raton, London, Ney York , 2012.

Published
2019-01-17
Section
Articles