A study of nonlinear age-structured population models  

作　　者：Syed Tauseef Mohyud-Din A. Waheed M. M. Ra.shidi 

机构地区：[1]Department of Mathematics, Faculty of Sciences HITEC University, Taxila Cantt, Pakistan [2]Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan [3]Shanghai Key Lab of Vehicle Aerodynamicsand Vehicle Thermal Management Systems Tongji University, 3800 Cao An Road Jiading, Shanghai 201803, P. R. China

出　　处：《International Journal of Biomathematics》2016年第6期211-223,共13页生物数学学报（英文版）

摘　　要：This paper presents a novel analysis for the solution of nonlinear age-structured prob- lem which is of extreme importance in biological sciences. The presented model is very useful but quite complicated. Modified variational iteration method （MVIM） coupled with auxiliary parameter is used to cope with the complexity of the model which subse- quently shows better results as compared to some existing results available in literature. Furthermore, an appropriate way is used for the identification of auxiliary parameter by means of residual function. Numerical examples are presented for the analysis of the pro- posed algorithm. Graphical results along with the discussions re-confirm the efficiency of proposed algorithm. The work proposes a new algorithm where He＇s polynomials and an auxiliary parameter are merged with correction functional. The suggested scheme is implemented on nonlinear age-structured population models. Graphs are plotted for the residual function that reflects the accuracy and convergence of the presented algorithm.

关 键 词：Age-structured population models nonlinear problems modified variationaliteration method auxiliary parameter correction functional. 

分 类 号：O141.4[理学—数学] Q141[理学—基础数学]