A Coexistence Model for N-Species Using Nearest Neighbour Interaction and the Role of Diffusion

  • S. C. Bhargava
Conference paper
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 52)


A model for N-species with interaction among the nearest neighbours as a possible explanation of their coexistence in the environment is proposed and analysed.




Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bhargava, S.C. (1980): On the Higgins model of glycolysis. Bull. Math. Biol. 42: 829–836.MathSciNetMATHGoogle Scholar
  2. Bhargava, S.C., and R.P. Saxena (1977): Stable periodic solution of the reactive-diffusive Volterra system of equations. J. Theor. BioZ. 67: 399–407.MathSciNetCrossRefGoogle Scholar
  3. Freedman, H.I. (1980): Deterministic Mathematical Model in Population Ecology. Marcel Dekker, New York.Google Scholar
  4. Goel, N.S., S.C. Maitra and E.W. Montroll (1971): On the Volterra and other nonlinear models of interacting populations. Rev. of Mod. Phys. 43: 231–276.MathSciNetCrossRefGoogle Scholar
  5. Gomatan, J. (1974): A new model for interacting populations. Bull. Math. Biol. 36: 347–364.Google Scholar
  6. Gompertz, B. (1825): On the nature of function expressive of law of human mortality, and on a new mode of determining the value of life contingencies. Phil. Tras. Roy. Soc. 115: 513–585.CrossRefGoogle Scholar
  7. Kogelman, S., and R.C. di Prima (1970): Stability of spatially periodic supercritical flows in hydrodynamics. Phys. Fluids 13: 1–11.MathSciNetMATHCrossRefGoogle Scholar
  8. Landau, L.D., and E.M. Lifshitz (1959): Fluids Dynamics. Pergamon Press, p. 103.Google Scholar
  9. Maynard Smith, J. ( 1974 ): Models in Ecology. Cambridge, Cambridge University Press.MATHGoogle Scholar
  10. Pande, L.K. (1978): Ecosystems with three species one-prey and two-predators system in an exactly solvable model. J. Theor. BioZ. 74: 591–595.CrossRefGoogle Scholar
  11. Strobeck, C. (1973): N species competition. Ecology 54: 650–654.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • S. C. Bhargava

There are no affiliations available

Personalised recommendations