Turing patterns in a simple model of a nutrient-microorganism system in the sediment

被引:19
作者
Baurmann, M
Feudel, U
机构
[1] ICBM, Carl Von Ossietzky Universität, PF 2503
关键词
Pattern formation; Reaction-diffusion models; Sediment; Turing instability;
D O I
10.1016/j.ecocom.2004.01.001
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
Sediments are characterized by heterogeneous distributions of nutrients and microorganisms which emerge as a result of the interaction between chemical and biological processes with physical transport. We study in a simplified model the dynamics of one population of microorganisms and its nutrient, taking into account that the considered bacteria possess an active as well as an inactive state. Furthermore, the nutrients are transported by bioirrigation. It is shown that under certain conditions Turing patterns can occur which yield heterogeneous vertical spatial distributions of species. Furthermore, this model exhibits several stable coexisting spatial profiles, so that it depends crucially on the initial condition which of the distributions will be realized. This phenomenon of multistability can still be observed when spatial profiles are externally imposed by considering a depth-dependent bioirrigation. (c) 2004 Elsevier B.V All rights reserved.
引用
收藏
页码:77 / 94
页数:18
相关论文
共 25 条
[1]  
Alonso D., Bartumeus F., Catalan J., Mutual interference between predators can give rise to Turing spatial patterns, Ecology, 83, 1, pp. 28-34, (2002)
[2]  
Arrowsmith D., Place C., Dynamical Systems - Differential Equations, Maps and Chaotic Behavior, (1992)
[3]  
Bruns U., Cypionka H., Overmann J., Cyclic AMP and acryl homoserine lactones increase the cultivation efficiency of heterotrophic bacteria from the central baltic sea, Appl. Environ. Microbiol., 68, 8, pp. 3978-3987, (2002)
[4]  
Bruns A., Nubel U., Cypionka H., Overmann J., Effect of signal compounds and incubation conditions on the culturability of freshwater bacterioplankton, Appl. Environ. Microbiol., 69, 4, pp. 1980-1989, (2003)
[5]  
Camazine S., Deneubourg J.-L., Franks N., Sneyd J., Theraulaz G., Bonabeau E., Self-Organization in Biological Systems, (2001)
[6]  
Castets V., Dulos E., Boissonade J., De Kepper P., Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern, Phys. Rev. Lett., 64, 24, pp. 2953-2956, (1990)
[7]  
Feudel U., Jansen W., CANDYS/QA - A software system for the qualitative analysis of nonlinear dynamical systems, Int. J. Bifurc. Chaos, 2, pp. 773-794, (1992)
[8]  
Henry B., Wearne S., Existence of Turing instabilities in a two-species fractional reaction-diffusion system, SIAM J. Appl. Math., 62, 3, pp. 870-887, (2002)
[9]  
Hunter K., Wang Y., Vancappellen P., Kinetic modeling of microbially-driven redox chemistry of subsurface environments: Coupling transport, microbial metabolism and geochemistry, J. Hydrol., 209, pp. 53-80, (1997)
[10]  
Kitsunezaki S., Interface dynamics for bacterial colony formation, J. Phys. Soc. Jpn., 66, pp. 1544-1550, (1997)