A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

被引：3
作者：
Kumar, Vijay [1 ,2 ]
Dhar, Joydip [3 ]
Bhatti, Harbax S. [4 ]
机构：
[1] Inder Kumar Gujral Punjab Tech Univ, Kapurthala, India
[2] Beant Coll Engn & Technol, Gurdaspur, Punjab, India
[3] ABV Indian Inst Informat Technol & Management, Gwalior 474015, MP, India
[4] BBSB Engn Coll, Fatehgarh Sahib, Punjab, India
来源：
ENVIRONMENTAL MODELING & ASSESSMENT | 2019年 / 24卷 / 03期
关键词：
Stage-structured model; Maturation delay; Holling type-II; Boundedness; Positivity; Sensitivity analysis; PREDATOR-PREY MODEL; HOPF-BIFURCATION ANALYSIS; STABILITY; PERMANENCE; DISCRETE; SYSTEMS;
D O I：
10.1007/s10666-019-9652-8
中图分类号：
X [环境科学、安全科学];
学科分类号：
08 ; 0830 ;
摘要：
In this paper, a pest-natural enemy dynamics with maturation delay for pest species is proposed. Here, pest is categorized into two stages, namely immature and mature and the natural enemy only harvest mature pest population with Holling type-II interaction. The boundedness and positivity of the solution of the system are presented. The asymptotic behavior of the system is studied and analyzed for all feasible equilibrium points. Sensitivity analysis of the system at interior equilibrium point for the system parameters is performed, and respective sensitive indices of the variables are identified. Finally, numerical simulations are presented to support our analytic results.
引用
收藏
页码：355 / 363
页数：9
相关论文
共 32 条
1234