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Erschienen in: Soft Computing 4/2020

17.12.2018 | Focus

Uncertain population model

verfasst von: Zhiqiang Zhang, Xiangfeng Yang

Erschienen in: Soft Computing | Ausgabe 4/2020

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Abstract

Considering that the population size is always influenced by various uncertain factors in varying environment, we present some new types of uncertain population models: uncertain population growth model and uncertain logistic population growth model which are described by uncertain differential equations. And some properties of these uncertain population models are discussed within the framework of uncertainty theory.

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Literatur
Zurück zum Zitat Barbacioru IC (2010) Uncertainty functional differential equations for finance. Surv Math Appl 5:275–284MathSciNetMATH Barbacioru IC (2010) Uncertainty functional differential equations for finance. Surv Math Appl 5:275–284MathSciNetMATH
Zurück zum Zitat Chen XW, Liu B (2010) Existence and uniqueness theorem for uncertain differential equations. Fuzzy Optim Decis Mak 9(1):69–81MathSciNetMATHCrossRef Chen XW, Liu B (2010) Existence and uniqueness theorem for uncertain differential equations. Fuzzy Optim Decis Mak 9(1):69–81MathSciNetMATHCrossRef
Zurück zum Zitat Chen XW (2011) American option pricing formula for uncertain financial market. Int J Oper Res 8(2):32–37MathSciNet Chen XW (2011) American option pricing formula for uncertain financial market. Int J Oper Res 8(2):32–37MathSciNet
Zurück zum Zitat Chen XW, Gao J (2013) Uncertain term structure model of interest rate. Soft Comput 17(4):597–604MATHCrossRef Chen XW, Gao J (2013) Uncertain term structure model of interest rate. Soft Comput 17(4):597–604MATHCrossRef
Zurück zum Zitat Chen XW, Ralescu DA (2013) Liu process and uncertain calculus. J Uncertain Anal Appl, vol 1, Article 3 Chen XW, Ralescu DA (2013) Liu process and uncertain calculus. J Uncertain Anal Appl, vol 1, Article 3
Zurück zum Zitat Engen S (2007) Stochastic growth and extinction in spatial geometric Brownian population model with migration and correlated noise. Math Biosci 209:240–255MathSciNetMATHCrossRef Engen S (2007) Stochastic growth and extinction in spatial geometric Brownian population model with migration and correlated noise. Math Biosci 209:240–255MathSciNetMATHCrossRef
Zurück zum Zitat Feller W (1951) Diffusion processes in Genetics. In: Second Berkely symposium on mathematical statistics and probability, pp 227–246 Feller W (1951) Diffusion processes in Genetics. In: Second Berkely symposium on mathematical statistics and probability, pp 227–246
Zurück zum Zitat Gao R (2017) Uncertain wave equation with infinite half-boundary. Appl Math Comput 304:28–40MathSciNetMATH Gao R (2017) Uncertain wave equation with infinite half-boundary. Appl Math Comput 304:28–40MathSciNetMATH
Zurück zum Zitat Ge XT, Zhu Y (2012) Existence and uniqueness theorem for uncertain delay differential equations. J Comput Inf Syst 8(20):8341–8347 Ge XT, Zhu Y (2012) Existence and uniqueness theorem for uncertain delay differential equations. J Comput Inf Syst 8(20):8341–8347
Zurück zum Zitat Li SG, Peng J, Zhang B (2015) Multifactor uncertain differential equation. J Uncertain Anal Appl, vol 3, Article 7 Li SG, Peng J, Zhang B (2015) Multifactor uncertain differential equation. J Uncertain Anal Appl, vol 3, Article 7
Zurück zum Zitat Liu B (2007) Uncertainty theory, 2nd edn. Springer, BerlinMATH Liu B (2007) Uncertainty theory, 2nd edn. Springer, BerlinMATH
Zurück zum Zitat Liu B (2008) Fuzzy process, hybrid process and uncertain process. J Uncertain Syst 2(1):3–16 Liu B (2008) Fuzzy process, hybrid process and uncertain process. J Uncertain Syst 2(1):3–16
Zurück zum Zitat Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3–10 Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3–10
Zurück zum Zitat Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef
Zurück zum Zitat Liu HJ, Fei WY (2013) Neutral uncertain delay differential equation. Inf Int Interdiscip J 16(2):1225–1232 Liu HJ, Fei WY (2013) Neutral uncertain delay differential equation. Inf Int Interdiscip J 16(2):1225–1232
Zurück zum Zitat Liu YH, Ha MH (2010) Expected value of function of uncertain variables. J Uncertain Syst 4(3):181–186 Liu YH, Ha MH (2010) Expected value of function of uncertain variables. J Uncertain Syst 4(3):181–186
Zurück zum Zitat Liu YH, Chen XW, Ralescu DA (2015) Uncertain currency model and currency option pricing. Int J Intell Syst 30:40–51CrossRef Liu YH, Chen XW, Ralescu DA (2015) Uncertain currency model and currency option pricing. Int J Intell Syst 30:40–51CrossRef
Zurück zum Zitat Matis JH, Kiffe TR (2000) Stochastic population models: a compartmental perspective. Springer, New YorkMATHCrossRef Matis JH, Kiffe TR (2000) Stochastic population models: a compartmental perspective. Springer, New YorkMATHCrossRef
Zurück zum Zitat Peng J, Yao K (2011) A new option pricing model for stocks in uncertainty markets. Int J Oper Res 8(2):18–26MathSciNet Peng J, Yao K (2011) A new option pricing model for stocks in uncertainty markets. Int J Oper Res 8(2):18–26MathSciNet
Zurück zum Zitat Sun JJ, Chen XW (2015) Asian option pricing formulas for uncertain financial market. J Uncertain Anal Appl, vol 3, Article 11 Sun JJ, Chen XW (2015) Asian option pricing formulas for uncertain financial market. J Uncertain Anal Appl, vol 3, Article 11
Zurück zum Zitat Verhulst PF (1838) Notice sur la loi que la population suit dans son accroissement. Corresp Math Phys 10:113–121 Verhulst PF (1838) Notice sur la loi que la population suit dans son accroissement. Corresp Math Phys 10:113–121
Zurück zum Zitat Yang XF, Gao J (2013) Uncertain differential games with application to capitalism. J Uncertain Anal Appl, vol 1, Article 17 Yang XF, Gao J (2013) Uncertain differential games with application to capitalism. J Uncertain Anal Appl, vol 1, Article 17
Zurück zum Zitat Yang XF, Yao K (2017) Uncertain partial differential equation with application to heat conduction. Fuzzy Optim Decis Mak 16(3):379–403MathSciNetMATHCrossRef Yang XF, Yao K (2017) Uncertain partial differential equation with application to heat conduction. Fuzzy Optim Decis Mak 16(3):379–403MathSciNetMATHCrossRef
Zurück zum Zitat Yao K (2013) Extreme values and integral of solution of uncertain differential equation. J Uncertain Anal Appl, vol 1, Article 2 Yao K (2013) Extreme values and integral of solution of uncertain differential equation. J Uncertain Anal Appl, vol 1, Article 2
Zurück zum Zitat Zhang ZQ, Liu WQ (2014) Geometric average Asian option pricing for uncertain financial market. J Uncertain Syst 8(4):317–320 Zhang ZQ, Liu WQ (2014) Geometric average Asian option pricing for uncertain financial market. J Uncertain Syst 8(4):317–320
Zurück zum Zitat Zhang ZQ, Gao R, Yang XF (2016) The stability of multifactor uncertain differential equation. J Intell Fuzzy Syst 30(6):3281–3290MATHCrossRef Zhang ZQ, Gao R, Yang XF (2016) The stability of multifactor uncertain differential equation. J Intell Fuzzy Syst 30(6):3281–3290MATHCrossRef
Zurück zum Zitat Zhang ZQ, Liu WQ, Sheng YH (2016) Valuation of power option for uncertain financial market. Appl Math Comput 286:257–264MathSciNetMATH Zhang ZQ, Liu WQ, Sheng YH (2016) Valuation of power option for uncertain financial market. Appl Math Comput 286:257–264MathSciNetMATH
Zurück zum Zitat Zhang ZQ, Ralescu DA, Liu WQ (2016) Valuation of interest rate ceiling and floor in uncertain financial market. Fuzzy Optim Decis Mak 15(2):139–154MathSciNetMATHCrossRef Zhang ZQ, Ralescu DA, Liu WQ (2016) Valuation of interest rate ceiling and floor in uncertain financial market. Fuzzy Optim Decis Mak 15(2):139–154MathSciNetMATHCrossRef
Zurück zum Zitat Zhang ZQ, Liu WQ, Zhang XD (2017) Valuation of convertible bond under uncertain mean-reverting stock model. J Ambient Intell Humaniz Comput 8(5):641–650CrossRef Zhang ZQ, Liu WQ, Zhang XD (2017) Valuation of convertible bond under uncertain mean-reverting stock model. J Ambient Intell Humaniz Comput 8(5):641–650CrossRef
Zurück zum Zitat Zhang ZQ, Liu WQ, Ding JH (2018) Valuation of stock loan under uncertain environment. Soft Comput 22(17):5663–5669MATHCrossRef Zhang ZQ, Liu WQ, Ding JH (2018) Valuation of stock loan under uncertain environment. Soft Comput 22(17):5663–5669MATHCrossRef
Zurück zum Zitat Zhu Y (2010) Uncertain optimal control with application to a portfolio selection model. Cybern Syst 41(7):535–547MATHCrossRef Zhu Y (2010) Uncertain optimal control with application to a portfolio selection model. Cybern Syst 41(7):535–547MATHCrossRef
Metadaten
Titel
Uncertain population model
verfasst von
Zhiqiang Zhang
Xiangfeng Yang
Publikationsdatum
17.12.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 4/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-03678-6

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