On Delayed Logistic Equation Driven by Fractional Brownian MotionSource: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 003::page 31005Author:Nguyen Tien Dung
DOI: 10.1115/1.4005932Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper we use the fractional stochastic integral given by Carmona et al. (2003, “Stochastic Integration With Respect to Fractional Brownian Motion,” Ann. I.H.P. Probab. Stat., 39 (1), pp. 27–68) to study a delayed logistic equation driven by fractional Brownian motion which is a generalization of the classical delayed logistic equation. We introduce an approximate method to find the explicit expression for the solution. Our proposed method can also be applied to the other models and to illustrate this, two models in physiology are discussed.
keyword(s): Theorems (Mathematics) , Brownian motion , Equations AND Physiology ,
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| contributor author | Nguyen Tien Dung | |
| date accessioned | 2017-05-09T00:48:44Z | |
| date available | 2017-05-09T00:48:44Z | |
| date copyright | July, 2012 | |
| date issued | 2012 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-25809#031005_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/148330 | |
| description abstract | In this paper we use the fractional stochastic integral given by Carmona et al. (2003, “Stochastic Integration With Respect to Fractional Brownian Motion,” Ann. I.H.P. Probab. Stat., 39 (1), pp. 27–68) to study a delayed logistic equation driven by fractional Brownian motion which is a generalization of the classical delayed logistic equation. We introduce an approximate method to find the explicit expression for the solution. Our proposed method can also be applied to the other models and to illustrate this, two models in physiology are discussed. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Delayed Logistic Equation Driven by Fractional Brownian Motion | |
| type | Journal Paper | |
| journal volume | 7 | |
| journal issue | 3 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4005932 | |
| journal fristpage | 31005 | |
| identifier eissn | 1555-1423 | |
| keywords | Theorems (Mathematics) | |
| keywords | Brownian motion | |
| keywords | Equations AND Physiology | |
| tree | Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 003 | |
| contenttype | Fulltext |