Optimal control & dynamical aspects of a stochastic pine wilt disease model

被引：21

作者：

Agarwal, Ravi P. ^{[1
,4
]}

Badshah, Qaisar ^{[2
]}

Rahman, Ghaus Ur ^{[3
]}

Islam, Saeed ^{[2
]}

机构：

[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

[2] Abdul Wali Khan Univ, Dept Math, Mardan Dist, Pakistan

[3] Univ Swat, Dept Math & Stat, Swat Dist, Pakistan

[4] Florida Inst Technol, Math, 150 West Univ Blvd, Melbourne, FL 32901 USA

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 07期

关键词：

NEMATODA-APHELENCHOIDIDAE; TRANSMISSION; WOOD;

D O I：

10.1016/j.jfranklin.2019.03.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The present work is devoted to study the asymptotic nature of a stochastic pine wilt disease model. Investigating the basic reproductive number, we proved that it has sharp threshold properties. The underlying system of stochastic differential equations is analyzed, and proper Lyapunov functionals are formulated to show the stability analysis. Adequate conditions are provided to study the extinction and permanence of the disease. Reducing infected individuals involved in a substance abuse is a challenging task therefore, using some control variables the stochastic optimality system, is obtained. Furthermore, for the authenticity of the obtained results numerical simulations are carried out at the end of the manuscript. (C) 2019 Published by Elsevier Ltd on behalf of The Franklin Institute.

引用

页码：3991 / 4025

页数：35

共 37 条

[1]

ANDERSON R M, 1991

[2]

BERGDAHL DR, 1988, J NEMATOL, V20, P260

[3] A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise [J].

Chang, Zhengbo ;

Meng, Xinzhu ;

Zhang, Tonghua .

APPLIED MATHEMATICS LETTERS, 2019, 87 :80-86

[4]

Fleming WH., 2012, Deterministic and stochastic optimal control

[5]

Frankowska H., 2010, P INT C MATH HYDR IN

[6]

Futai K., 2008, PINE WILT DISEASE, P5

[7]

GIBLINDAVIS RM, 1993, NEMATODE INTERACTION

[8] A theoretical study on mathematical modelling of an infectious disease with application of optimal control [J].

Kar, T. K. ;

Jana, Soovoojeet .

BIOSYSTEMS, 2013, 111 (01) :37-50

[9]

Khasminskii R, 2012, STOCH MOD APPL PROBA, V66, P1, DOI 10.1007/978-3-642-23280-0

[10]

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

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