干旱区生态环境知识资源中心(Arid): Dynamic analysis of the ecosystem of plateau pikas under pulse control

Arid

DOI	10.1007/s12190-024-02159-4
	Dynamic analysis of the ecosystem of plateau pikas under pulse control
	Li, Yongfeng; Hu, Zhangjun; Meng, Xiangshao; Zhao, Zhong
通讯作者	Li, YF
来源期刊	JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
ISSN	1598-5865
EISSN	1865-2085
出版年	2024
英文摘要	Currently, plateau pikas have become one of the key factors contributing to grassland desertification on the Qinghai-Tibet Plateau. The Chinese government allocates significant funds annually to eradication campaigns. However, recent studies indicate that eliminating plateau pikas is detrimental to the sustainable development of the ecosystem. Therefore, we propose a ratio-dependent pulse control model. Using techniques such as Poincar & eacute; mapping and bifurcation theory, we establish the global stability of equilibrium points in the model. By applying fixed-point theorem and vector field analysis, we identify critical conditions for the orbitally asymptotic stability of order-1 and order-2 periodic solutions. Additionally, we provide criteria for the existence and stability of a predator-free periodic solution and conduct bifurcation and sensitivity analyses of relevant parameters. Finally, through numerical simulations, we validate the theorem and confirm the feasibility of the control approach. Theoretical and numerical results indicate that the population of plateau pikas can be maintained at lower levels. This offers a new control strategy for plateau pika management.
英文关键词	Plateau pika Ratio-dependent control Bifurcation analysis Periodic solution Stability
类型	Article ; Early Access
语种	英语
收录类别	SCI-E
WOS记录号	WOS:001271152400002
WOS关键词	FEEDBACK-CONTROL ; STATE ; MODEL ; PEST ; MANAGEMENT ; DENSITY ; SYSTEM
WOS类目	Mathematics, Applied ; Mathematics
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/404331
推荐引用方式 GB/T 7714	Li, Yongfeng,Hu, Zhangjun,Meng, Xiangshao,et al. Dynamic analysis of the ecosystem of plateau pikas under pulse control[J],2024.
APA	Li, Yongfeng,Hu, Zhangjun,Meng, Xiangshao,&Zhao, Zhong.(2024).Dynamic analysis of the ecosystem of plateau pikas under pulse control.JOURNAL OF APPLIED MATHEMATICS AND COMPUTING.
MLA	Li, Yongfeng,et al."Dynamic analysis of the ecosystem of plateau pikas under pulse control".JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2024).