Age-structured population model under uncertain environment

被引：2
|
作者：
Deng, Shounian [1 ,2 ]
Fei, Chen [3 ]
Mei, Chunhui [1 ,2 ]
机构：
[1] Anhui Polytech Univ, Minist Educ, Key Lab Adv Percept & Intelligent Control High En, Wuhu 241000, Peoples R China
[2] Anhui Polytech Univ, Sch Math Phys & Finance, Wuhu 241000, Peoples R China
[3] Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
来源：
SOFT COMPUTING | 2021年 / 25卷 / 21期
基金：
中国国家自然科学基金;
关键词：
Age-structured population equation; Inverse uncertainty distribution; Liu process; theta-path; Finite difference method; DIFFERENTIAL-EQUATION; STABILITY; OPTION; UNIQUENESS; VALUATION; EXISTENCE;
D O I：
10.1007/s00500-021-06164-8
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this work, we present an age-structured population model with uncertain external inflow. Based on the comparison principle for the population model, we apply the mathematical tools from uncertainty theory to prove an inverse distribution theorem, which relates the inverse uncertainty distribution of the solution of the given model to the corresponding.-path. As an application of this theorem, we derive formulas to compute the expected values of a monotone function of population density and total population density. In addition, we introduce a finite difference method to solve the theta-path. A numerical experiment is provided to show the effectiveness of the theoretical results.
引用
收藏
页码：13411 / 13423
页数：13
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