ROLE OF DIFFERENT SYSTEM DELAYS ON ECOLOGICAL FOOD CHAIN DYNAMICS:MATHEMATICAL MODELLING AND ANALYSIS  

作　　者：R.BHATTACHARYYA Ashoke BERA B.MUKHOPADHYAY 

机构地区：[1]Department of Science, the Calcutta Technical School 110 [2]Department of Science, Central Calcutta Polytechnic 21

出　　处：《Journal of Systems Science & Complexity》2010年第4期727-737,共11页系统科学与复杂性学报（英文版）

基　　金：supported by the Department of Science and Technology, Ministry of Human Resource Development, Govt. of India under Grant No. SR/S4/MS:296/05

摘　　要：This paper studies a three tier ecological food chain model consisting of nutrient,autotroph,and herbivore populations.Regeneration of nutrient from dead autotroph and herbivore biomass bydecomposers present in the soil is included.The time required for maturation of the herbivore populationis incorporated as a distributed time delay.Next,the authors introduce the time lag requiredfor regeneration of nutrient from the dead herbivore as a discrete time delay.Stability and bifurcationbehavior of the one-and two-delay models are carried out and a comparative study of the significanceof these delays in controlling the system dynamics is performed.Numerical simulations are done tojustify analytical results.

关 键 词：AUTOTROPH DECOMPOSER gestation delay HERBIVORE hopf bifurcation recycling delay. 

分 类 号：O242.1[理学—计算数学]