Mutualistic relationships between phytoplankton and bacteria caused by carbon excretion from phytoplankton

作者: Yasuaki Aota , Hisao Nakajima

DOI: 10.1046/J.1440-1703.2001.00396.X

关键词:

摘要: For the competition system of phytoplankton and bacteria through inorganic phosphorus, our mathematical model showed that mutualistic relationships between them could occur due to production consumption extracellular organic carbon by bacteria. In model, are limited in their growth light phosphorus released from phytoplankton. We adopted ‘permanence’ as a criterion coexistence analysis, led necessary conditions permanence model. Under these conditions, we estimated strength total effects interactions at steady state press perturbation method. The results this estimation indicated This suggests situation introduction flow bacteria, even if compete with each other common resource, phosphorus.

参考文章(28)
Hisao Nakajima, Masahiko Higashi, Indirect effects in ecological interaction networks II. The conjugate variable approach Mathematical Biosciences. ,vol. 130, pp. 129- 150 ,(1995) , 10.1016/0025-5564(94)00116-1
B Huang, H Hong, H Wang, Size-fractionated primary productivity and the phytoplankton-bacteria relationship in the Taiwan Strait Marine Ecology Progress Series. ,vol. 183, pp. 29- 38 ,(1999) , 10.3354/MEPS183029
V. Hutson, R. Law, Permanent coexistence in general models of three interacting species Journal of Mathematical Biology. ,vol. 21, pp. 285- 298 ,(1985) , 10.1007/BF00276227
Thomas C. Gard, Persistence in food webs: holling-type food chains Mathematical Biosciences. ,vol. 49, pp. 61- 67 ,(1980) , 10.1016/0025-5564(80)90110-8
Thomas C. Gard, Persistence for ecosystem microcosm models Ecological Modelling. ,vol. 12, pp. 221- 229 ,(1981) , 10.1016/0304-3800(81)90039-9
T GARD, T HALLAM, Persistence in food webs—I Lotka-Volterra food chains Bulletin of Mathematical Biology. ,vol. 41, pp. 877- 891 ,(1979) , 10.1016/S0092-8240(79)80024-5
Wolfgang Jansen, A permanence theorem for replicator and Lotka-Volterra systems Journal of Mathematical Biology. ,vol. 25, pp. 411- 422 ,(1987) , 10.1007/BF00277165