A fractional order pine wilt disease model with Caputo-Fabrizio derivative

被引：59

作者：

Khan, Muhammad Altaf ^{[1
]}

Ullah, Saif ^{[2
]}

Okosun, K. O. ^{[3
]}

Shah, Kamil ^{[1
]}

机构：

[1] City Univ Sci & Informat Technol, Dept Math, Peshawar, Pakistan

[2] Univ Peshawar, Dept Math, Peshawar, Pakistan

[3] Vaal Univ Technol, Dept Math, Vanderbijlpark, South Africa

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Caputo-Fabrizio (CF) fractional derivative; Pint wilt disease; Mathematical model; Fixed point theorem; Numerical simulation; NEMATODA-APHELENCHOIDIDAE; MATHEMATICAL-ANALYSIS; TRANSMISSION; NETWORKS; FLUIDS;

D O I：

10.1186/s13662-018-1868-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Caputo-Fabrizio type fractional order mathematical model for the dynamics of pine wilt disease (FPWD) is presented. The basic properties of the model are investigated. The existence and uniqueness of the solution for the proposed FPWD model are given via the fixed point theorem. The numerical simulations for the model are obtained by using particular parameter values. The non-integer order derivative provides more flexible and deeper information about the complexity of the dynamics of the proposed FPWD model than the integer order models established before.

引用

页数：18

共 28 条

[11] Mathematical modeling approach to the transmission dynamics of pine wilt disease with saturated incidence rate [J].

Khan, Muhammad Altaf ;

Shah, Kamil ;

Khan, Yasir ;

Islam, Saeed .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (03)

[12] A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies [J].

Khan, Muhammad Altaf ;

Khan, Rizwan ;

Khan, Yasir ;

Islam, Saeed .

CHAOS SOLITONS & FRACTALS, 2018, 108 :205-217

[13]

Kiyohara T., 1971, Journal of the Japanese Forestry Society, V53, P210

[14] Stability Analysis and Optimal Control Strategy for Prevention of Pine Wilt Disease [J].

Lee, Kwang Sung .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[15]

Losada J., 2015, Prog. Fract. Differ. Appl, V1, P87, DOI [10.12785/pfda/010202, DOI 10.12785/PFDA/010202]

[16] DYNAMIC ANALYSIS OF GENERALIZED VISCOELASTIC FLUIDS [J].

MAKRIS, N ;

DARGUSH, GF ;

CONSTANTINOU, MC .

JOURNAL OF ENGINEERING MECHANICS-ASCE, 1993, 119 (08) :1663-1679

[17] TRANSMISSION OF BURSAPHELENCHUS-LIGNICOLUS (NEMATODA-APHELENCHOIDIDAE) BY MONOCHAMUS-ALTERNATUS (COLEOPTERA-CERAMBYCIDAE) [J].

MAMIYA, Y ;

ENDA, N .

NEMATOLOGICA, 1972, 18 (02) :159-&

[18] DESCRIPTION OF BURSAPHELENCHUS-LIGNICOLUS N-SP (NEMATODA-APHELENCHOIDIDAE) FROM PINE WOOD AND HISTOPATHOLOGY OF NEMATODE-INFESTED TREES [J].

MAMIYA, Y ;

KIYOHARA, T .

NEMATOLOGICA, 1972, 18 (01) :120-&

[19]

Morimoto K., 1972, Journal of the Japanese Forestry Society, V54, P177

[20] Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative [J].

Owolabi, Kolade M. ;

Atangana, Abdon .

CHAOS SOLITONS & FRACTALS, 2017, 105 :111-119

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