+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

The impact of diffusion and stirring on the dynamics of interacting populations

, : The impact of diffusion and stirring on the dynamics of interacting populations. Journal of Theoretical Biology 238(2): 340-347

We investigate the combined effects of diffusion and stirring on the dynamics of interacting populations which have spatial structure. Specifically we consider the marine phytoplankton and zooplankton populations, and model them as an excitable medium. The results are applicable to other biological and chemical systems. Under certain conditions the combination of diffusion and stirring is found to enhance the excitability, and hence population growth of the system. Diffusion is found to play an important role: too much and initial perturbations are smoothed away, too little and insufficient mixing takes place before the reaction is over. A key time-scale is the mix-down time, the time it takes for the spatial scale of a population to be reduced to that of a diffusively controlled filament. If the mix-down time is short compared to the reaction time-scale, then excitation of the system is suppressed. For intermediate values of the mix-down time the peak population can attain values many times that of a population without spatial structure. We highlight the importance of the spatial scale of the initial disturbance to the system.


PMID: 16076475

DOI: 10.1016/j.jtbi.2005.05.029

Other references

Benowitz, N.L.; Zevin, S.; Carlsen, S.; Wright, J.; Schambelan, M.; Cheitlin, M., 1996: Orthostatic hypertension due to vascular adrenergic hypersensitivity. Autoregulatory mechanisms ensure relatively small fluctuations of blood pressure with postural changes in healthy people. Although orthostatic hypotension is well recognized and commonly encountered, there are only a few reports of orthostatic hyp...

Gires, O., 2010: Epithelial cell adhesion molecule (EpCAM) expression in adamantinomatous craniopharyngioma. Annals of Diagnostic Pathology 13(6): 428-429

Steele, J.D.; Murphy, T.R., 1948: Streptomycin in preparation for collapse therapy. American Review of Tuberculosis 58(4): 393-401

Gross, W.O.; Müller, C., 1971: The "asphalt coloured spots" of living heart muscle cells--glycogen formations visible under phase contrast. Zeitschrift für Zellforschung und Mikroskopische Anatomie 118(2): 190-202

Tabet, G.S.; Kassabian, E.B.; Rohayem, J.N.; Jebara, V.A., 2002: Periareolar mediastinoscopy: a new technique. Biopsy of anterior mediastinal or aortopulmonary nodes is usually accomplished through a left anterior mediastinostomy. Cosmetic concerns expressed by patients about scars in the neck or the upper chest led us to consider a new periareolar approac...

Mingazzini, P., 1889: Richerche sul Canale Digerente dei Lamellicorni Fitofagi. Influence of diet on the size of the mid-gut.

Wyatt Smith, J., 1961: A survey of the peat swamp research plots in naturally regenerated forest, Malaya. In Malaya, peat soils supporting agricultural or forest crops approximate some 2,000,000 acres (6% of the land area). The peat regions are mainly coastal with rich, deep peats overlying silts and clays on the west coast, butwithpoorly developed pe...

Fujioka, H.; Kotoku, N.; Fujita, T.; Inoguchi, R.; Murai, K.; Nagatomi, Y.; Sawama, Y.; Kita, Y., 2002: Kinetically controlled optical resolution of racemic norbornene aldehyde derivatives. A new method for obtaining optically pure 5-norbornene 2-endo-aldehyde derivatives was developed. The reaction of a diastereomeric mixture of the ene acetals 2 and 2', derived from racemic norbornene aldehydes (+/-)-1 and chiral nonracemic (S...

Wellman, S.E., 1996: Carboxyl-terminal peptides from histone H1 variants: DNA binding characteristics and solution conformation. The carboxyl-terminal domains of the histone H1 proteins bind to DNA and are important in condensation of DNA. Little is known about the details of the interactions between H1 histones and DNA, and in particular, there is little known about differ...

Piot, J.D.; Rey, C.; Touchot, A.; Serraf, A.; Sousa Uva, M.; Lacour-Gayet, F.; Planché, C., 1997: Secondary subaortic obstruction after correction of double outlet right ventricle. Echocardiographic aspects and surgical findings. The authors report echocardiographic appearances of subaortic obstruction secondary to correction of double outlet right ventricle in 8 children reoperated between January 1994 and June 1996. The initial repair of the double outlet right ventricul...