A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies

被引：33
作者：
Khan, Muhammad Altaf [1 ]
Khan, Rizwan [1 ]
Khan, Yasir [2 ]
Islam, Saeed [3 ]
机构：
[1] City Univ Sci & Informat Technol, Dept Math, Peshawar, KP, Pakistan
[2] Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi Arabia
[3] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, KP, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 108卷
关键词：
Pine Wilt Disease (PWD); Stability analysis; Reproduction number; Global stability; Numerical results; GLOBAL-STABILITY; NEMATODA-APHELENCHOIDIDAE; TRANSMISSION; MODEL; DYNAMICS; WOOD;
D O I：
10.1016/j.chaos.2018.02.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper describes the dynamics of the Pine Wilt disease with variable population size. The basic mathematical results for the model are presented. The stability analysis of both the disease-free and endemic cases are presented whenever R-0 lesser or greater than one, respectively. Further, an optimal control problem is formulated and the necessarily involved results are presented. Moreover, the numerical simulation of the optimal control problem with suggested control strategies for the possible eliminations of the infection in the pine trees population is presented. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：205 / 217
页数：13
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