Simulation of biological waves in single-species bacillus system governed by birth and death-diffusion dynamical equation

Yongdong Jin, Jiuping Xu, Wenhua Zhang, Jiuli Luo and Qiwang Xu

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 68, issue 4, 317-327

Abstract: Based on both the theories of cellar biology and the results of experimental observations a dynamical model of birth and death-diffusion type has been suggested for popular growth of bacillus and evolution of nutrition in the single-species bacillus system with a growth–propagation source. It has been verified that the single-species bacillus system in the process of growth–propagation has the biological wave behaviors from the experimental observation. Furthermore, under a special initial values and boundary conditions corresponding to the point-source growth in a closed culture-container, the evolutionary equations of this dynamical model in the single-species bacillus system with a growth–propagation source and the combination of biological waves in the single-species bacillus system with two growth–propagation sources are analyzed by means of the computer simulation, respectively. It shows that the popular growth of single-species bacillus systems governed by birth and death-diffusion dynamical equation is characterized by the spatial-temporal quasi-periodicities which is consistent with the traveling wave solution of above evolutionary equations. It turns out that these results of computer simulation, we obtain could qualitatively copy and describe the phenomenon from experimental observations. The results reported in this paper are a powerful support to the famous argument of the biological wave about the popular growth of bacteria based on lab-observation in ecology.

Keywords: Popular growth; Dynamical model; Computer simulations; Evolutionary equations (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475404003064
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:68:y:2005:i:4:p:317-327

DOI: 10.1016/j.matcom.2004.12.006

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().