Combinations of nonstandard finite difference schemes and composition methods with complex time steps for population models

作     者：Cuicui Liao Xiaohua Ding Jiuzhen Liang 

作者机构：Department of Information and Computing Science Jiangnan University No. 1800 Lihu Avenue Wuxi Jiangsu 214122 P. R. China Department of Mathematics Harbin Institute of Technology at Weihai No. 2 Wenhua West Road Weihai Shandong 264209 P. R. China Department of Internet of ThingsJiangnan University No. 1800 Lihu Avenue Wuxi Jiangsu 214122 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第4期

页      面：1-14页

核心收录：

学科分类：01[哲学] 0101[哲学-哲学] 010104[哲学-逻辑学] 07[理学] 080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 070104[理学-应用数学] 081502[工学-水力学及河流动力学] 0815[工学-水利工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China Fundamental Research Funds for the Central Universities [JUSRR11407] 

主　　题：Nonstandard finite difference schemes composition methods with complextime steps population models positive numerical solutions conservation laws. 

摘      要：We propose an efficient numerical method for two population models, based on the nonstandard finite difference （NSFD） schemes and composition methods with complex time steps. The NSFD scheme is able to give positive numerical solutions that satisfy the conservation law, which is a key property for biological population models. The accuracy is improved by using the composition methods with complex time steps. Numerical tests on the plankton nutrient model and whooping cough model are presented to show the efficiency and advantage of the proposed numerical method.