Contribution to the study of the effect of the interspecificity on a two nutrients competition model
被引量:1
Contribution to the study of the effect of the interspecificity on a two nutrients competition model
摘要
We consider a model of the exploitative competition of two micro-organisms for two complementary nutrients in a chemostat and take into account the interspecific interac- tion. The growth functions occurring in the model are of general type and the interaction functions are monotonic and positive. By the mean of the Thieme-Zhao theorem, we establish conditions for uniform persistence of the model.
参考文献14
-
1G. J. Butler and G. S. K. Wolkowicz, Exploitative competition in a chemostat for two complementary, and possible inhibitory, resources, Math. Biosci. 83 (1987) 1-48.
-
2A. Covich, Ecological economics of foraging among coevolving animals and plants, Ann. Mo. Bot. Gard. 61 (1974) 794-805.
-
3H. J. W. de Baar, von Liebig's law of the minimum and plankton ecology (1899-1991), Progr. Oceanography 33(4) (1994) 347-386.
-
4S. B. Hsu, K. S. Cheng and S. P, Hubbell, Exploitative competition of micro-organism for two complementary nutrients in continuous culture, SIAM g. Appl. Math. 41 (1981) 422 444.
-
5J. A. Leon and D. B. Tumpson, Competition between two species for two comple- mentary or substitutable resources, J. Theor. Biol. 50 (1975) 185 201.
-
6B. Li, Global asymptotic behavior of the chemostat: General response functions and different removal rates, SIAM J. Appl. Math. 59(2) (1998) 411-422.
-
7F. Mazenc and M. Malisoff, On stability and stabilization for models of chemostats with multiple limiting substrates, J. Biol. Dynam. 6(2) (2012) 612 627.
-
8D. J. Rapport, An optimization model of~food seiection, [4nn. Nat. 105 (1971) 575-587.
-
9H. Smith and P. Waltman, The Theory of the Chemostat (Cambridge University Press, Cambridge, UK, 1995).
-
10H. R. Thieme, Persistence under relaxed point-dissipativity (with application to an epidemic model), SIAM J. Math. Anal. 24 (1993) 407-435.
-
1涂修亮,胡秉民.杂草与作物竞争模型研究进展[J].生态学杂志,1999,18(6):54-58. 被引量:8
-
2沈俊明,陈长军,冒宇翔,金丽华.鳢肠马唐竞争作用研究[J].南京农专学报,2001,17(3):35-38. 被引量:1
-
3黄荣华,叶正襄,秦厚国.稻田两种狼蛛种间相互作用及对白背飞虱复合捕食作用的研究[J].蛛形学报,1993,2(1):60-63.
-
4Mianmian Zhang,Yongping Zhang.Fractal analysis and control of the competition model[J].International Journal of Biomathematics,2016,9(3):227-242. 被引量:2
-
5施祖华,刘树生.小菜蛾主要寄生性天敌——菜蛾绒茧蜂与菜蛾啮小蜂间的相互作用[J].应用生态学报,2003,14(6):949-954. 被引量:8
-
6高小宽.黄瓜-花生混作系统中氮营养效应的研究初探[J].农村经济与科技,2013,24(12):54-55.
-
7张德,龙会英.种间相互作用对牧草间作体系生产力的影响[J].干旱地区农业研究,2017,35(2):234-239. 被引量:3
-
8吴进才.稻田捕食性天敌种间相互作用的初步研究[J].江苏农学院学报,1991,12(1):47-55. 被引量:1
-
9李秋英,张凤琴,刘汉武.不育控制下的具有性别结构的单种群模型[J].数学的实践与认识,2009,39(19):145-151. 被引量:8
-
10邓小燕,王小春,杨文钰,宋春,文熙宸,张群,毛树明.玉米/大豆和玉米/甘薯模式下玉米磷素吸收特征及种间相互作用[J].作物学报,2013,39(10):1891-1898. 被引量:29