Qualitatively adequate numerical modeling of some biological processes

I. Faragó, R. Horváth, G. S. Sebestyén

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we investigate discrete models which describe several important biological phenomena. Particularly, we analyse in detail the discrete models for the epidemic propagation and also for the Lotka-Volterra models. We give such conditions under which the models are qualitatively adequate, which means, that they preserve the most important, biologically motivated qualitative properties of the original phenomenon.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
PublisherAmerican Institute of Physics Inc.
Volume1895
ISBN (Electronic)9780735415799
DOIs
Publication statusPublished - Oct 12 2017
Event9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 - Albena, Varna, Bulgaria
Duration: Jun 21 2017Jun 26 2017

Other

Other9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
CountryBulgaria
CityAlbena, Varna
Period6/21/176/26/17

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Faragó, I., Horváth, R., & Sebestyén, G. S. (2017). Qualitatively adequate numerical modeling of some biological processes. In Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 (Vol. 1895). [020002] American Institute of Physics Inc.. https://doi.org/10.1063/1.5007356