传染病动力学生态模型的渐近分析

Asymptotic Analysis of Epidemical Dynamic Ecotogical Model

MO Jiaqi¹,², HE Ming²,³, XIE Feng²,⁴

1. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui Province, China; 2. Division of Computational Science, EInstitute of Shanghai Universities, at SJTU, Shanghai 200240, China;3. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China; 4. Department of Applied Mathematics, Donghua University, Shanghai 201620, China

Received:2005-12-27 Revised:1900-01-01 Online:2006-11-26 Published:2006-11-26
Contact: MO Jiaqi

Abstract

Abstract: A class of epidemic contagion is considered. The transmissive dynamic ecological model is described. Firstly, the differential equa tions are established for the corresponding model. Secondly, a series of function is constructed and their variations are calculated out. And via the variational principle the Lagrange parameters are decided. Finally, the iteration formu las for the solution of the original are obtained by means of the iteration theory. Thus the approximate solution of the corresponding model is obtained with the iteration method.

Key words: epidemic contagion, nonlinear, transmissive dynamic model, variational iteration

CLC Number:

O175.14

MO Jiaqi,, HE Ming,, XIE Feng,. Asymptotic Analysis of Epidemical Dynamic Ecotogical Model[J].J4, 2006, 44(06): 873-877.

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Asymptotic Analysis of Epidemical Dynamic Ecotogical Model

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