Skip to main content
Log in

Adaptation of parameters in ecology models

  • Control in Biological Systems and Medicine
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Model mechanisms of adaptation of the parameters of populations are suggested on the basis of mathematical criteria of the competitive selection. Ecologically evolutional models of a small dimension are set up, in which the dynamics of variables and the adaptation of parameters are simultaneously traced. This approach is used to seek sets of the evolutionally stable parameters of water plants under periodic changes of the medium temperature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Pasekov, V.P., Mathematical Models of Ecologically Genetic Interactions, in Mathematical Models in Population Biology, Ser. Biolog. Meditsina, Moscow: VINITI, 1983, vol. 2, pp. 4–80.

    Google Scholar 

  2. Vance, R.R. and Coddington, E.A., A Nonantonomous Model of Population Growth, Math. Biology, 1989, vol. 27, no. 5, pp. 491–506.

    Google Scholar 

  3. Il’ichev, V.G., Geometric Methods of Investigation of Competition Models in the Periodic Medium, Avtom. Telemekh., no. 5, pp. 105–117.

  4. Il’ichev, V.G., A Portion of the Mathematical Theory of Competition of Biological Species in the Varying Medium, Diff. Uravn., 1991, vol. 27, no. 3, pp. 437–447.

    Google Scholar 

  5. Filippov, A.F., Differentsial’nye uravneniya s razryvnoi pravoi chast’yu (Differential Equations with Discontinuous Right Sides), Moscow: Nauka, 1985.

    Google Scholar 

  6. Butenin, L.V., Neimark, Yu. I., and Fufaev, N.A., Vvedenie v teoriyu nelineinykh kolebanii (Introduction to the Theory of Nonlinear Oscillations), Moscow: Nauka, 1976.

    Google Scholar 

  7. Il’ichev, V.G., Adaptation of Parameters in the Models of Ecological Systems, Avtom. Telemekh., 1990, no. 6, pp. 102–111.

  8. Contois, D.E., Kinetics of Bacterial Growth Relationship between Population Density and Specific Growth Rate of Continuous Culture, J. Gen. Microbiol., 1959, nos. 12, p. 40.

    Google Scholar 

  9. Pianka, E., Evolutionary Ecology, New York: Harper & Row, 1973. Translated under the title: Evolyutsionnayaekologiya, Moscow: Mir, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Avtomatika i Telemekhanika, No. 2, 2005, pp. 115–123.

Original Russian Text Copyright © 2005 by Il’ichev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Il’ichev, V.G. Adaptation of parameters in ecology models. Autom Remote Control 66, 281–294 (2005). https://doi.org/10.1007/s10513-005-0051-z

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10513-005-0051-z

Keywords

Navigation