新疆大学数学与系统科学学院
纸质出版:2013
移动端阅览
[1]陈云斐,曼合布拜·热合木.具有时滞的浮游植物-浮游动物模型研究(英文)[J].新疆大学学报(自然科学版),2013,30(03):297-303.
陈云斐, 曼合布拜·热合木. 具有时滞的浮游植物-浮游动物模型研究(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 297-303.
考虑了由动植物排放的毒素按离散时滞变化的具有毒素的浮游动植物模型及其性质.首先利用分析方法研究了无时滞模型边界及正平衡点的全局形态
然后利用数值模拟方法研究了具有时滞的模型的动力学行为.分析及数值模拟结果表明系统的动力学行为随时滞变化而变化.
In the present paper we consider a toxin producing phytoplankton-zooplankton model in which the toxin liberation by phytoplankton species follows a discrete time variation. Firstly
we study the globally asymptotically stability of the boundary and interior equilibria of the model without delay by using analytical techniques. And then study the dynamical behavior of the model with delay by numerical method. The analytical and numerical results indicate that the dynamical properties of the system change with the delay τ.
Blaxter J H S,Southward A J.Advance in Marine Biology[M].London:Academic Press,1997.
Mukhopadhyay B,Bhattacharyya R.Role of gestation delay in a plankton-fish model under stochastic fluctuations[J].Math Biosci,2008,215:26-34.
Stoermer E F,Smol J P.The Diatoms[M].UK:Cambridge University Press,1999.
Anderson D M.Toxic algae blooms and red tides:a global perspective,in:Red Tides,Biology,Environmental Science and Toxicology[M].New York:Elsevier,1998,11-21.
Abdllaoui A E,Chattopadhayay J,Arino O.Comparisons,by models,of some basic mechanisms acting on the dynamics of the zooplankton toxic phytoplankton systems[J].M3AS12,2002,10:1421-1451.
Chattopadhyay J,Sarkar R R,Mandal S.Toxin producing plankton may act as a biological control for planktonic blooms:A field study and mathematical modelling[J].Theoret Biol,2002,215:333-344.
Sarkar R R,Chattopadhyay J.The role of environmental stochasticity in a toxic phytoplankton-non-toxic phytoplankton zooplankton system[J].Environmetrics,2003,14:775-792.
Sarkar R R,Chattopadhyay J.Occurence of planktonic blooms under environmental fluctuations and its possible control mechanism mathematial models and expermental observations[J].Theoret Biol,2003,224:501-516.
Nejstgaard J C,Solberg P T.Repression of copepod feeding and fecundity by the toxic haptophyte Prymnesium patelliferum[J].Sarsia,1996,81:339-344.
Ives J D.Possible mechanism underlying copepod grazing responses to levels of toxicity in red tide dinoflagellates[J].J Exp Mar Biol Ecol,1987,112:131-145.
Tapan Saha,Malay Bandyopadhyay.Dynamical analysis of toxin producing phytoplankton–zooplankton interactions[J].Real World Appl:Nonlinear Anal,2009,10:314–332.
0
浏览量
58
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621
