Study of an eco-epidemiological model with Z-type control

被引：20
|
作者：
Alzahrani, Abdullah K. [1 ]
Alshomrani, Ali Saleh [2 ]
Pal, Nikhil [3 ]
Samanta, Sudip [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci & Arts Rabigh, Dept Math, Rabigh 25732, Saudi Arabia
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[3] Visva Bharati Univ, Dept Math, Santini Ketan 731235, W Bengal, India
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 113卷
关键词：
Disease; Chaos; Lyapunov exponent; Z-type control; Chaos control; Disease control; PREDATOR-PREY MODEL; CHRONIC WASTING DISEASE; COMPLEX DYNAMICS; FOOD-CHAIN; INFECTIOUS-DISEASES; ECOLOGICAL-SYSTEMS; BIOLOGICAL-CONTROL; CONCLUSION DRAWN; SALTON-SEA; WEAK ALLEE;
D O I：
10.1016/j.chaos.2018.06.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, an eco-epidemic model with Z-type control mechanism has been proposed and analyzed. We consider a predator-prey model with Holling type-II functional response, where prey is subjected to disease infection. We observe that disease may destabilize the system by producing chaotic oscillations. To confirm the occurrence of chaos, we draw the Poincare map and also compute the Lyapunov exponents. We further observe that if the indirect Z-controller is applied in the predator population, then the chaos as well as the disease can be eliminated from the system. To explore the global dynamics of the system and the possible applications of Z-type control mechanism, we perform extensive numerical experiments. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：197 / 208
页数：12
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