On a mathematical model of land-use change

  • 1 Faculty of Mathematics and Natural Sciences – South West University “Neofit Rilski”, Blagoevgrad, Bulgaria

Abstract

The paper is devoted to a mathematical model of land-use change proposed by Dobson et. al. We formulate and investigate some quantitative properties of the corresponding Cauchy problem. We construct a numerical algorithm for approximate solution of the problem and present some of the numerical results. Their meaning is explained and discussed.

Keywords

References

  1. Roser M., Ortiz-Ospina E. (2018) - "World Population Growth". Published online at OurWorldInData.org. Retrieved from: 'https://ourworldindata.org/worldpopulation-growth'
  2. Koomen E, Stilwell J., Bakema A., Scholten H. (eds.). Modelling Land-Use Change. Springer, 2007.
  3. Malthus T. (1798) Essay on the principle of population (reprinted Macmillan, London, 1926)
  4. Darwin, Ch (1859) On the origin of species, J. Murray, London.
  5. Pearl R. (1928) The rate of living. Knopf, New York.
  6. Lotka, A.J. (1925) Elements of Physical Biology, Williams and Wilkins, Philadelphia.
  7. Volterra, V (1926) Variations and fluctuations of the numbers of individuals in animal species living together. Reprinted 1931 in R.N. Chapman, Animal Ecology, McGraw-Hill, New York.
  8. Dobson A., Bradshaw A., Baker A. (1997) Hopes for the future: Restoration ecology and conservation biology. Science 277: 515-521.
  9. Shampine, L, Reichelt, M (1997): The Matlab ODE suite. SIAM J. Sci. Comput. 18: 1–22.

Article full text

Download PDF