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《Journal of Southwest University(Natural Science Edition)》 2009-01
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Complex Dynamics of a Nutrient-Phytoplankton Model with Disease

LIU Chun-hua Department of Mathematics,Yangtze Normal University,Chongqing 408100,China  
In this paper,a model with one nutrient and two phytoplankton populations is proposed. Conditions for the existence and local stability of the equilibria are obtained. By means of Lyapunov function,the global stability of the boundary equilibria are obtained and some interesting numerical simulations are given by means of matlab,maple and matcont. Bistable phenomena are obtained at the boundary equilibrium. The existence of Hopf bifurcations around the boundary equilibrium and the interior equilibrium are discovered and these Hopf bifurcations can be supercritical or subcritical.
【Fund】: 国家自然科学基金资助项目(30770555);; 重庆市科委自然科学基金计划资助项目(CQCSTC 2007BB5012)
【CateGory Index】: Q948.8
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【Co-references】
Chinese Journal Full-text Database 2 Hits
1 LIU Chun-hua(Dept.of Mathematics,Yangtze Normal University,Chongqing 408100,China);Global Analysis on Simple Five-dimensional Model[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-10
2 LIU Chun-hua,WANG Wen-di,ZHOU Rui School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;Global Stability Analysis of a Nutrient-Phytoplankton Model with Viral Infection[J];Journal of Southwest University(Natural Science Edition);2007-03
【Secondary References】
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1 LI Junyan;Jincheng College,Sichuan University;;Dynamic Bifurcation Analysis of the Volterra Competitive Model[J];Journal of Sichuan Normal University(Natural Science);2013-05
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