A mathematical study of a prey-predator model in relevance to pest control

被引:48
作者
Jana, Soovoojeet [1 ]
Kar, T. K. [1 ]
机构
[1] Bengal Engn & Sci Univ, Dept Math, Howrah 711103, W Bengal, India
关键词
Eco-epidemic; Hopf bifurcation; Transcritical bifurcation; Global stability; Optimal control; BIOLOGICAL-CONTROL; DISEASE; DYNAMICS; POPULATION; PROVISION; FISHERY; SYSTEM; FOOD;
D O I
10.1007/s11071-013-0996-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, we propose and analyze an ecological system consisting of pest and its natural enemy as predator. Here we also consider the role of infection to the pest population and the presence of some alternative source of food to the predator population. We analyze the dynamics of this system in a systemic manner, study the dependence of the dynamics on some vital parameters and discuss the global behavior and controllability of the proposed system. The investigation also includes the use of pesticide control to the system and finally we use Pontryagin's maximum principle to derive the optimal pest control strategy. We also illustrate some of the key findings using numerical simulations.
引用
收藏
页码:667 / 683
页数:17
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