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

被引：0

作者：

Basir F.A. ^{[1
]}

Takeuchi Y. ^{[2
]}

Ray S. ^{[3
]}

机构：

[1] Department of Mathematics, Asansol Girls’ College, Asansol-4, 713304, West Bengal

[2] Department of Physics and Mathematics, Aoyama Gakuin University, Kanagawa

[3] Systems Ecology & Ecological Modelong Laboratory, Department of Zoology, Visva-Bharati University, Santiniketan

来源：

Mathematical Biosciences and Engineering | 2021年 / 18卷 / 01期

基金：

日本学术振兴会;

关键词：

Basic reproduction number; Crowding effect; Disease resistance; Hopf bifurcation; Incubation period; Mathematical model; Stability;

D O I：

10.3934/MBE.2021032

中图分类号：

学科分类号：

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 (R0). 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. c 2021 the Author(s),

引用

页码：583 / 599

页数：16

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