Dynamics of a delayed plant disease model with Beddington-DeAngelis disease transmission

被引：10
|
作者：
Al Basir, Fahad [1 ]
Takeuchi, Yasuhiro [2 ]
Ray, Santanu [3 ]
机构：
[1] Asansol Girls Coll, Dept Math, Asansol 4, Asansol 713304, W Bengal, India
[2] Aoyama Gakuin Univ, Dept Phys & Math, Sagamihara, Kanagawa 2525258, Japan
[3] Visva Bharati Univ, Dept Zool, Syst Ecol & Ecol Modelong Lab, Santini Ketan 731235, W Bengal, India
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 18卷 / 01期
基金：
日本学术振兴会;
关键词：
mathematical model; disease resistance; crowding effect; incubation period; basic reproduction number; stability; Hopf bifurcation; GLOBAL STABILITY; MOSAIC DISEASE; EPIDEMIOLOGY; PROPAGATION; INFECTION; PREDATORS;
D O I：
10.3934/mbe.2021032
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the present research, we study a mathematical model for vector-borne plant disease with the plant resistance to disease and vector crowding effect and propose using Beddington-DeAngelis type disease transmission and incubation delay. Existence and stability of the equilibria have been studied using basic reproduction number (R-0). The region of stability of the different equilibria is presented and the impact of important parameters has been discussed. The results obtained suggest that disease transmission depends on the plant resistance and incubation delay. The delay and resistance rate can stabilise the system and plant epidemic can be avoided increasing plant resistance and incubation period.
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页码：583 / 599
页数：17
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