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DOI | 10.1016/j.chaos.2019.05.037 |
Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator | |
Qureshi, Sania1,2; Yusuf, Abdullahi3,4 | |
发表日期 | 2019 |
ISSN | 0960-0779 |
EISSN | 1873-2887 |
卷号 | 126页码:32-40 |
英文摘要 | This research study shows the impacts of deforestation on wildlife species using a newly proposed four dimensional nonlinear mathematical model based upon fractional-order ordinary differential equations. Being a nonlinear model, some theorems using fixed point theory have been proved showing the existence and uniqueness properties for the solution of the fractional-order model. Using an explicit version of Adams-Bashforth-Moulton method devised for the fractional-order ordinary differential equations with convergence order p = min(1 + tau, 2), where tau is the order of the differential equations used in the model; some numerical simulations in the form of graphical illustrations have been carried out depicting the better performance of the fractional-order model for being capable enough to capture all the history information of the system under consideration which is a phenomenon not found in the classical (integer-order) differential equations. Varying values for both the fractional-order parameter tau and parameters of the model itself are used during the required numerical simulations. (C) 2019 Elsevier Ltd. All rights reserved. |
WOS研究方向 | Mathematics ; Physics |
来源期刊 | CHAOS SOLITONS & FRACTALS
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文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/102270 |
作者单位 | 1.Mehran Univ Engn & Technol, Dept Basic Sci & Related Studies, Jamshoro 76062, Pakistan; 2.Tech Univ Carolo Wilhelmina Braunschweig, Inst Computat Math, D-38106 Braunschweig, Germany; 3.Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey; 4.Fed Univ Dutse, Sci Fac, Dept Math, Jigawa 7156, Nigeria |
推荐引用方式 GB/T 7714 | Qureshi, Sania,Yusuf, Abdullahi. Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator[J],2019,126:32-40. |
APA | Qureshi, Sania,&Yusuf, Abdullahi.(2019).Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator.CHAOS SOLITONS & FRACTALS,126,32-40. |
MLA | Qureshi, Sania,et al."Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator".CHAOS SOLITONS & FRACTALS 126(2019):32-40. |
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