Interpolation solution in generalized stochastic exponential population growth model

被引：50
|
作者：
Khodabin, M. [1 ]
Maleknejad, K. [1 ]
Rostami, M. [1 ]
Nouri, M. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 03期
关键词：
Exponential population growth model; Brownian motion process; Ito integral; Ito processes; Ito formula; NUMERICAL APPROXIMATIONS;
D O I：
10.1016/j.apm.2011.07.061
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, first we consider model of exponential population growth, then we assume that the growth rate at time t is not completely definite and it depends on some random environment effects. For this case the stochastic exponential population growth model is introduced. Also we assume that the growth rate at time t depends on many different random environment effect, for this case the generalized stochastic exponential population growth model is introduced. The expectations and variances of solutions are obtained. For a case study, we consider the population growth of Iran and obtain the output of models for this data and predict the population individuals in each year. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：1023 / 1033
页数：11
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