Journal
JOURNAL OF BIOLOGICAL DYNAMICS
Volume 13, Issue 1, Pages 218-244Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2019.1589000
Keywords
Integrated pest management; impulsive state feedback control; order-k periodic solution; stability; weak Allee effect
Categories
Funding
- Project for Science and Technology Open Cooperation of Henan Province [172106000071]
Ask authors/readers for more resources
In this paper, a pest management predator-prey model with weak Allee effect on predator and state feedback impulsive control on prey is introduced and analysed, where the yield of predator released and intensity of pesticide sprayed are assumed to be linearly dependent on the selected pest control level. For the proposed model, the existence and stability of the order-1 periodic orbit of the control system are discussed. Meanwhile, with the aim of minimizing the input cost in practice, an optimization model is constructed to determine the optimal quantity of the predator released and the intensity of pesticide sprayed. The theoretical results and numerical simulations indicated that the number of pests can be limited to below an economic threshold and displays periodic variation under the proposed control strategy. In addition, it indicated in numerical simulations that an order-2 periodic orbit exists for some certain parameters.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available